21and22addsubtract integers andintronotebook

1

September 19 2014

integer not an integer

Directions Classify each number as an integer or not an integer

5

shy6

0

shy21shy65

132 shy632

9 frac12

frac34

3frac34 π

21and22addsubtract integers andintronotebook

2

September 19 2014

Directions Insert an equality symbol(lt gt) between the following signed numbers

1) shy3_____ 5

3) 63_____ 36

5) shy6 _____ shy3

7) shy24 _____ shy17

9) 8 _____ shy8

2) shy237_____ shy259

4) shy10_____ shy15

6) 127 _____ 172

8) shy2 _____ shy8

10) shy10 _____ shy7

21and22addsubtract integers andintronotebook

3

September 19 2014

Directions Order the integers from least to greatest

shy9 6 0 shy2 shy5 4

Answer

21and22addsubtract integers andintronotebook

4

September 19 2014

Absolute ValueThe distance a number is from zero on the number line

Think - the amount of spaces from zero

Symbol ~ l l

Examples ~ l 6 l l -6 l -l 6 l -l -6 l

Answer does not have absolute value bars

httpwwwmathgoodiescomlessonsvol5absolute_valuehtml

httpwwwkidsknowitcominteractiveshyeducationalshymoviesfreeshyonlineshymoviesphpmovie=Absolute20Values

httpwwwaaamathcomBg65_cox1htm

21and22addsubtract integers andintronotebook

2

September 19 2014

Directions Insert an equality symbol(lt gt) between the following signed numbers

1) shy3_____ 5

3) 63_____ 36

5) shy6 _____ shy3

7) shy24 _____ shy17

9) 8 _____ shy8

2) shy237_____ shy259

4) shy10_____ shy15

6) 127 _____ 172

8) shy2 _____ shy8

10) shy10 _____ shy7

21and22addsubtract integers andintronotebook

3

September 19 2014

Directions Order the integers from least to greatest

shy9 6 0 shy2 shy5 4

Answer

21and22addsubtract integers andintronotebook

4

September 19 2014

Absolute ValueThe distance a number is from zero on the number line

Think - the amount of spaces from zero

Symbol ~ l l

Examples ~ l 6 l l -6 l -l 6 l -l -6 l

Answer does not have absolute value bars

httpwwwmathgoodiescomlessonsvol5absolute_valuehtml

httpwwwkidsknowitcominteractiveshyeducationalshymoviesfreeshyonlineshymoviesphpmovie=Absolute20Values

httpwwwaaamathcomBg65_cox1htm

21and22addsubtract integers andintronotebook

3

September 19 2014

Directions Order the integers from least to greatest

shy9 6 0 shy2 shy5 4

Answer

21and22addsubtract integers andintronotebook

4

September 19 2014

Absolute ValueThe distance a number is from zero on the number line

Think - the amount of spaces from zero

Symbol ~ l l

Examples ~ l 6 l l -6 l -l 6 l -l -6 l

Answer does not have absolute value bars

httpwwwmathgoodiescomlessonsvol5absolute_valuehtml

httpwwwkidsknowitcominteractiveshyeducationalshymoviesfreeshyonlineshymoviesphpmovie=Absolute20Values

httpwwwaaamathcomBg65_cox1htm

21and22addsubtract integers andintronotebook

4

September 19 2014

Absolute ValueThe distance a number is from zero on the number line

Think - the amount of spaces from zero

Symbol ~ l l

Examples ~ l 6 l l -6 l -l 6 l -l -6 l

Answer does not have absolute value bars

httpwwwmathgoodiescomlessonsvol5absolute_valuehtml

httpwwwkidsknowitcominteractiveshyeducationalshymoviesfreeshyonlineshymoviesphpmovie=Absolute20Values

httpwwwaaamathcomBg65_cox1htm

21and22addsubtract integers andintronotebook

5

September 19 2014

Comparing with Absolute Value

Compare using lt gt or =

1 l -6 l ___ 5 2 l -8 l ___ l -13 l

Find absolute value first Then compare integers

21and22addsubtract integers andintronotebook

6

September 19 2014

Find the value

2 + 3

-2 + (-3)

-2 + 3

2 + (-3)

Can you explain how you determined the answer

21and22addsubtract integers andintronotebook

7

September 19 2014

Rules for Adding Integers

1) When the integers have the same sign add the values and use the same sign

2) When the integers have different signs find the difference of (larger - smaller) Then use the sign of the larger number

Example 4 + 6 = 10

shy5 + shy3 = shy8

Example shy5 + 8 = 3

9 + (shy11) = shy2

21and22addsubtract integers andintronotebook

8

September 19 2014

Combining Integers

Directions Find the sum of the integers

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1 14 + shy2 = 12

2 shy22 + shy33= shy55

3 4 + shy17 = shy13

4 shy26 + 13 = shy13

5 840 + shy3= 837

6 shy87 +shy21 = shy108

7 shy6 + 4 + (shy3) = shy5

21and22addsubtract integers andintronotebook

9

September 19 2014

Word Problems

1) A construction worker was 8 feet under the ground He went up 12 feet How many feet is the construction worker above ground

A shy20

B 20

C shy4

D 4

2) The temperature in Maine was 5o C at 200 AM The temperature decreased 3o C per hour What was the temperature at 600 AM

A) shy5o C B) shy6o C C) shy7o C D) 17oC

21and22addsubtract integers andintronotebook

10

September 19 2014

21and22addsubtract integers andintronotebook

11

September 19 2014

Find the value

3 - 2

2 - 3

-2 - 3

2 - (-3)

Can you explain how you determined the answer

21and22addsubtract integers andintronotebook

12

September 19 2014

21and22addsubtract integers andintronotebook

13

September 19 2014

Subtracting Integers

1) Same change change2) Follow addition rules

Examples 3shy(shy4) = 3 + 4 =

7

5 shy 6 = 5 + shy6 =

shy1

Note A double negative equals a positive

21and22addsubtract integers andintronotebook

14

September 19 2014

Combining Integers (Subtracting Integers)

Directions Find the difference

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1) 3 shy 8 = shy5

2) 29 shy 14 = 15

3) shy15 shy 14 = shy29

4) 3 shy (shy15) = 18

5) shy43 shy (shy4) =shy39

6) shy7 shy (shy34) = 27

21and22addsubtract integers andintronotebook

15

September 19 2014

ChallengeSame change change for each subtraction sign

1 - 53 - (-33) - 62 2 32 - 54 - 108

3 -187 - 43 - (-56) 4 -45 - 67 - 23 - (-104)

21and22addsubtract integers andintronotebook

16

September 19 2014

Extra Challenge

1 -36 + 45 - (-55) 2 108 - 134 + (-43) - (-8)

3 -90 + 116 - 78 - (-12) + 61 - 86

21and22addsubtract integers andintronotebook

17

September 19 2014

Calculating Change

Mount Whitney in California has an elevation of 14494 feet above sea level Death Valley in California has an elevation of 282 feet below sea level What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley

Difference Elevation of Elevation of or = Death Valley - Mt Whitney Change

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

6

September 19 2014

Find the value

2 + 3

-2 + (-3)

-2 + 3

2 + (-3)

Can you explain how you determined the answer

21and22addsubtract integers andintronotebook

7

September 19 2014

Rules for Adding Integers

1) When the integers have the same sign add the values and use the same sign

2) When the integers have different signs find the difference of (larger - smaller) Then use the sign of the larger number

Example 4 + 6 = 10

shy5 + shy3 = shy8

Example shy5 + 8 = 3

9 + (shy11) = shy2

21and22addsubtract integers andintronotebook

8

September 19 2014

Combining Integers

Directions Find the sum of the integers

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1 14 + shy2 = 12

2 shy22 + shy33= shy55

3 4 + shy17 = shy13

4 shy26 + 13 = shy13

5 840 + shy3= 837

6 shy87 +shy21 = shy108

7 shy6 + 4 + (shy3) = shy5

21and22addsubtract integers andintronotebook

9

September 19 2014

Word Problems

1) A construction worker was 8 feet under the ground He went up 12 feet How many feet is the construction worker above ground

A shy20

B 20

C shy4

D 4

2) The temperature in Maine was 5o C at 200 AM The temperature decreased 3o C per hour What was the temperature at 600 AM

A) shy5o C B) shy6o C C) shy7o C D) 17oC

21and22addsubtract integers andintronotebook

10

September 19 2014

21and22addsubtract integers andintronotebook

11

September 19 2014

Find the value

3 - 2

2 - 3

-2 - 3

2 - (-3)

Can you explain how you determined the answer

21and22addsubtract integers andintronotebook

12

September 19 2014

21and22addsubtract integers andintronotebook

13

September 19 2014

Subtracting Integers

1) Same change change2) Follow addition rules

Examples 3shy(shy4) = 3 + 4 =

7

5 shy 6 = 5 + shy6 =

shy1

Note A double negative equals a positive

21and22addsubtract integers andintronotebook

14

September 19 2014

Combining Integers (Subtracting Integers)

Directions Find the difference

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1) 3 shy 8 = shy5

2) 29 shy 14 = 15

3) shy15 shy 14 = shy29

4) 3 shy (shy15) = 18

5) shy43 shy (shy4) =shy39

6) shy7 shy (shy34) = 27

21and22addsubtract integers andintronotebook

15

September 19 2014

ChallengeSame change change for each subtraction sign

1 - 53 - (-33) - 62 2 32 - 54 - 108

3 -187 - 43 - (-56) 4 -45 - 67 - 23 - (-104)

21and22addsubtract integers andintronotebook

16

September 19 2014

Extra Challenge

1 -36 + 45 - (-55) 2 108 - 134 + (-43) - (-8)

3 -90 + 116 - 78 - (-12) + 61 - 86

21and22addsubtract integers andintronotebook

17

September 19 2014

Calculating Change

Mount Whitney in California has an elevation of 14494 feet above sea level Death Valley in California has an elevation of 282 feet below sea level What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley

Difference Elevation of Elevation of or = Death Valley - Mt Whitney Change

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

7

September 19 2014

Rules for Adding Integers

1) When the integers have the same sign add the values and use the same sign

2) When the integers have different signs find the difference of (larger - smaller) Then use the sign of the larger number

Example 4 + 6 = 10

shy5 + shy3 = shy8

Example shy5 + 8 = 3

9 + (shy11) = shy2

21and22addsubtract integers andintronotebook

8

September 19 2014

Combining Integers

Directions Find the sum of the integers

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1 14 + shy2 = 12

2 shy22 + shy33= shy55

3 4 + shy17 = shy13

4 shy26 + 13 = shy13

5 840 + shy3= 837

6 shy87 +shy21 = shy108

7 shy6 + 4 + (shy3) = shy5

21and22addsubtract integers andintronotebook

9

September 19 2014

Word Problems

1) A construction worker was 8 feet under the ground He went up 12 feet How many feet is the construction worker above ground

A shy20

B 20

C shy4

D 4

2) The temperature in Maine was 5o C at 200 AM The temperature decreased 3o C per hour What was the temperature at 600 AM

A) shy5o C B) shy6o C C) shy7o C D) 17oC

21and22addsubtract integers andintronotebook

10

September 19 2014

21and22addsubtract integers andintronotebook

11

September 19 2014

Find the value

3 - 2

2 - 3

-2 - 3

2 - (-3)

Can you explain how you determined the answer

21and22addsubtract integers andintronotebook

12

September 19 2014

21and22addsubtract integers andintronotebook

13

September 19 2014

Subtracting Integers

1) Same change change2) Follow addition rules

Examples 3shy(shy4) = 3 + 4 =

7

5 shy 6 = 5 + shy6 =

shy1

Note A double negative equals a positive

21and22addsubtract integers andintronotebook

14

September 19 2014

Combining Integers (Subtracting Integers)

Directions Find the difference

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1) 3 shy 8 = shy5

2) 29 shy 14 = 15

3) shy15 shy 14 = shy29

4) 3 shy (shy15) = 18

5) shy43 shy (shy4) =shy39

6) shy7 shy (shy34) = 27

21and22addsubtract integers andintronotebook

15

September 19 2014

ChallengeSame change change for each subtraction sign

1 - 53 - (-33) - 62 2 32 - 54 - 108

3 -187 - 43 - (-56) 4 -45 - 67 - 23 - (-104)

21and22addsubtract integers andintronotebook

16

September 19 2014

Extra Challenge

1 -36 + 45 - (-55) 2 108 - 134 + (-43) - (-8)

3 -90 + 116 - 78 - (-12) + 61 - 86

21and22addsubtract integers andintronotebook

17

September 19 2014

Calculating Change

Mount Whitney in California has an elevation of 14494 feet above sea level Death Valley in California has an elevation of 282 feet below sea level What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley

Difference Elevation of Elevation of or = Death Valley - Mt Whitney Change

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

8

September 19 2014

Combining Integers

Directions Find the sum of the integers

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1 14 + shy2 = 12

2 shy22 + shy33= shy55

3 4 + shy17 = shy13

4 shy26 + 13 = shy13

5 840 + shy3= 837

6 shy87 +shy21 = shy108

7 shy6 + 4 + (shy3) = shy5

21and22addsubtract integers andintronotebook

9

September 19 2014

Word Problems

1) A construction worker was 8 feet under the ground He went up 12 feet How many feet is the construction worker above ground

A shy20

B 20

C shy4

D 4

2) The temperature in Maine was 5o C at 200 AM The temperature decreased 3o C per hour What was the temperature at 600 AM

A) shy5o C B) shy6o C C) shy7o C D) 17oC

21and22addsubtract integers andintronotebook

10

September 19 2014

21and22addsubtract integers andintronotebook

11

September 19 2014

Find the value

3 - 2

2 - 3

-2 - 3

2 - (-3)

Can you explain how you determined the answer

21and22addsubtract integers andintronotebook

12

September 19 2014

21and22addsubtract integers andintronotebook

13

September 19 2014

Subtracting Integers

1) Same change change2) Follow addition rules

Examples 3shy(shy4) = 3 + 4 =

7

5 shy 6 = 5 + shy6 =

shy1

Note A double negative equals a positive

21and22addsubtract integers andintronotebook

14

September 19 2014

Combining Integers (Subtracting Integers)

Directions Find the difference

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1) 3 shy 8 = shy5

2) 29 shy 14 = 15

3) shy15 shy 14 = shy29

4) 3 shy (shy15) = 18

5) shy43 shy (shy4) =shy39

6) shy7 shy (shy34) = 27

21and22addsubtract integers andintronotebook

15

September 19 2014

ChallengeSame change change for each subtraction sign

1 - 53 - (-33) - 62 2 32 - 54 - 108

3 -187 - 43 - (-56) 4 -45 - 67 - 23 - (-104)

21and22addsubtract integers andintronotebook

16

September 19 2014

Extra Challenge

1 -36 + 45 - (-55) 2 108 - 134 + (-43) - (-8)

3 -90 + 116 - 78 - (-12) + 61 - 86

21and22addsubtract integers andintronotebook

17

September 19 2014

Calculating Change

Mount Whitney in California has an elevation of 14494 feet above sea level Death Valley in California has an elevation of 282 feet below sea level What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley

Difference Elevation of Elevation of or = Death Valley - Mt Whitney Change

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

9

September 19 2014

Word Problems

1) A construction worker was 8 feet under the ground He went up 12 feet How many feet is the construction worker above ground

A shy20

B 20

C shy4

D 4

2) The temperature in Maine was 5o C at 200 AM The temperature decreased 3o C per hour What was the temperature at 600 AM

A) shy5o C B) shy6o C C) shy7o C D) 17oC

21and22addsubtract integers andintronotebook

10

September 19 2014

21and22addsubtract integers andintronotebook

11

September 19 2014

Find the value

3 - 2

2 - 3

-2 - 3

2 - (-3)

Can you explain how you determined the answer

21and22addsubtract integers andintronotebook

12

September 19 2014

21and22addsubtract integers andintronotebook

13

September 19 2014

Subtracting Integers

1) Same change change2) Follow addition rules

Examples 3shy(shy4) = 3 + 4 =

7

5 shy 6 = 5 + shy6 =

shy1

Note A double negative equals a positive

21and22addsubtract integers andintronotebook

14

September 19 2014

Combining Integers (Subtracting Integers)

Directions Find the difference

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1) 3 shy 8 = shy5

2) 29 shy 14 = 15

3) shy15 shy 14 = shy29

4) 3 shy (shy15) = 18

5) shy43 shy (shy4) =shy39

6) shy7 shy (shy34) = 27

21and22addsubtract integers andintronotebook

15

September 19 2014

ChallengeSame change change for each subtraction sign

1 - 53 - (-33) - 62 2 32 - 54 - 108

3 -187 - 43 - (-56) 4 -45 - 67 - 23 - (-104)

21and22addsubtract integers andintronotebook

16

September 19 2014

Extra Challenge

1 -36 + 45 - (-55) 2 108 - 134 + (-43) - (-8)

3 -90 + 116 - 78 - (-12) + 61 - 86

21and22addsubtract integers andintronotebook

17

September 19 2014

Calculating Change

Mount Whitney in California has an elevation of 14494 feet above sea level Death Valley in California has an elevation of 282 feet below sea level What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley

Difference Elevation of Elevation of or = Death Valley - Mt Whitney Change

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

10

September 19 2014

21and22addsubtract integers andintronotebook

11

September 19 2014

Find the value

3 - 2

2 - 3

-2 - 3

2 - (-3)

Can you explain how you determined the answer

21and22addsubtract integers andintronotebook

12

September 19 2014

21and22addsubtract integers andintronotebook

13

September 19 2014

Subtracting Integers

1) Same change change2) Follow addition rules

Examples 3shy(shy4) = 3 + 4 =

7

5 shy 6 = 5 + shy6 =

shy1

Note A double negative equals a positive

21and22addsubtract integers andintronotebook

14

September 19 2014

Combining Integers (Subtracting Integers)

Directions Find the difference

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1) 3 shy 8 = shy5

2) 29 shy 14 = 15

3) shy15 shy 14 = shy29

4) 3 shy (shy15) = 18

5) shy43 shy (shy4) =shy39

6) shy7 shy (shy34) = 27

21and22addsubtract integers andintronotebook

15

September 19 2014

ChallengeSame change change for each subtraction sign

1 - 53 - (-33) - 62 2 32 - 54 - 108

3 -187 - 43 - (-56) 4 -45 - 67 - 23 - (-104)

21and22addsubtract integers andintronotebook

16

September 19 2014

Extra Challenge

1 -36 + 45 - (-55) 2 108 - 134 + (-43) - (-8)

3 -90 + 116 - 78 - (-12) + 61 - 86

21and22addsubtract integers andintronotebook

17

September 19 2014

Calculating Change

Mount Whitney in California has an elevation of 14494 feet above sea level Death Valley in California has an elevation of 282 feet below sea level What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley

Difference Elevation of Elevation of or = Death Valley - Mt Whitney Change

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

11

September 19 2014

Find the value

3 - 2

2 - 3

-2 - 3

2 - (-3)

Can you explain how you determined the answer

21and22addsubtract integers andintronotebook

12

September 19 2014

21and22addsubtract integers andintronotebook

13

September 19 2014

Subtracting Integers

1) Same change change2) Follow addition rules

Examples 3shy(shy4) = 3 + 4 =

7

5 shy 6 = 5 + shy6 =

shy1

Note A double negative equals a positive

21and22addsubtract integers andintronotebook

14

September 19 2014

Combining Integers (Subtracting Integers)

Directions Find the difference

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1) 3 shy 8 = shy5

2) 29 shy 14 = 15

3) shy15 shy 14 = shy29

4) 3 shy (shy15) = 18

5) shy43 shy (shy4) =shy39

6) shy7 shy (shy34) = 27

21and22addsubtract integers andintronotebook

15

September 19 2014

ChallengeSame change change for each subtraction sign

1 - 53 - (-33) - 62 2 32 - 54 - 108

3 -187 - 43 - (-56) 4 -45 - 67 - 23 - (-104)

21and22addsubtract integers andintronotebook

16

September 19 2014

Extra Challenge

1 -36 + 45 - (-55) 2 108 - 134 + (-43) - (-8)

3 -90 + 116 - 78 - (-12) + 61 - 86

21and22addsubtract integers andintronotebook

17

September 19 2014

Calculating Change

Mount Whitney in California has an elevation of 14494 feet above sea level Death Valley in California has an elevation of 282 feet below sea level What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley

Difference Elevation of Elevation of or = Death Valley - Mt Whitney Change

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

12

September 19 2014

21and22addsubtract integers andintronotebook

13

September 19 2014

Subtracting Integers

1) Same change change2) Follow addition rules

Examples 3shy(shy4) = 3 + 4 =

7

5 shy 6 = 5 + shy6 =

shy1

Note A double negative equals a positive

21and22addsubtract integers andintronotebook

14

September 19 2014

Combining Integers (Subtracting Integers)

Directions Find the difference

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1) 3 shy 8 = shy5

2) 29 shy 14 = 15

3) shy15 shy 14 = shy29

4) 3 shy (shy15) = 18

5) shy43 shy (shy4) =shy39

6) shy7 shy (shy34) = 27

21and22addsubtract integers andintronotebook

15

September 19 2014

ChallengeSame change change for each subtraction sign

1 - 53 - (-33) - 62 2 32 - 54 - 108

3 -187 - 43 - (-56) 4 -45 - 67 - 23 - (-104)

21and22addsubtract integers andintronotebook

16

September 19 2014

Extra Challenge

1 -36 + 45 - (-55) 2 108 - 134 + (-43) - (-8)

3 -90 + 116 - 78 - (-12) + 61 - 86

21and22addsubtract integers andintronotebook

17

September 19 2014

Calculating Change

Mount Whitney in California has an elevation of 14494 feet above sea level Death Valley in California has an elevation of 282 feet below sea level What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley

Difference Elevation of Elevation of or = Death Valley - Mt Whitney Change

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

13

September 19 2014

Subtracting Integers

1) Same change change2) Follow addition rules

Examples 3shy(shy4) = 3 + 4 =

7

5 shy 6 = 5 + shy6 =

shy1

Note A double negative equals a positive

21and22addsubtract integers andintronotebook

14

September 19 2014

Combining Integers (Subtracting Integers)

Directions Find the difference

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1) 3 shy 8 = shy5

2) 29 shy 14 = 15

3) shy15 shy 14 = shy29

4) 3 shy (shy15) = 18

5) shy43 shy (shy4) =shy39

6) shy7 shy (shy34) = 27

21and22addsubtract integers andintronotebook

15

September 19 2014

ChallengeSame change change for each subtraction sign

1 - 53 - (-33) - 62 2 32 - 54 - 108

3 -187 - 43 - (-56) 4 -45 - 67 - 23 - (-104)

21and22addsubtract integers andintronotebook

16

September 19 2014

Extra Challenge

1 -36 + 45 - (-55) 2 108 - 134 + (-43) - (-8)

3 -90 + 116 - 78 - (-12) + 61 - 86

21and22addsubtract integers andintronotebook

17

September 19 2014

Calculating Change

Mount Whitney in California has an elevation of 14494 feet above sea level Death Valley in California has an elevation of 282 feet below sea level What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley

Difference Elevation of Elevation of or = Death Valley - Mt Whitney Change

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

14

September 19 2014

Combining Integers (Subtracting Integers)

Directions Find the difference

10 2 3 4 5 6 7 8 9 10shy1shy2shy3shy4shy5shy6shy7shy8shy9shy10

1) 3 shy 8 = shy5

2) 29 shy 14 = 15

3) shy15 shy 14 = shy29

4) 3 shy (shy15) = 18

5) shy43 shy (shy4) =shy39

6) shy7 shy (shy34) = 27

21and22addsubtract integers andintronotebook

15

September 19 2014

ChallengeSame change change for each subtraction sign

1 - 53 - (-33) - 62 2 32 - 54 - 108

3 -187 - 43 - (-56) 4 -45 - 67 - 23 - (-104)

21and22addsubtract integers andintronotebook

16

September 19 2014

Extra Challenge

1 -36 + 45 - (-55) 2 108 - 134 + (-43) - (-8)

3 -90 + 116 - 78 - (-12) + 61 - 86

21and22addsubtract integers andintronotebook

17

September 19 2014

Calculating Change

Mount Whitney in California has an elevation of 14494 feet above sea level Death Valley in California has an elevation of 282 feet below sea level What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley

Difference Elevation of Elevation of or = Death Valley - Mt Whitney Change

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

15

September 19 2014

ChallengeSame change change for each subtraction sign

1 - 53 - (-33) - 62 2 32 - 54 - 108

3 -187 - 43 - (-56) 4 -45 - 67 - 23 - (-104)

21and22addsubtract integers andintronotebook

16

September 19 2014

Extra Challenge

1 -36 + 45 - (-55) 2 108 - 134 + (-43) - (-8)

3 -90 + 116 - 78 - (-12) + 61 - 86

21and22addsubtract integers andintronotebook

17

September 19 2014

Calculating Change

Mount Whitney in California has an elevation of 14494 feet above sea level Death Valley in California has an elevation of 282 feet below sea level What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley

Difference Elevation of Elevation of or = Death Valley - Mt Whitney Change

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

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httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

16

September 19 2014

Extra Challenge

1 -36 + 45 - (-55) 2 108 - 134 + (-43) - (-8)

3 -90 + 116 - 78 - (-12) + 61 - 86

21and22addsubtract integers andintronotebook

17

September 19 2014

Calculating Change

Mount Whitney in California has an elevation of 14494 feet above sea level Death Valley in California has an elevation of 282 feet below sea level What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley

Difference Elevation of Elevation of or = Death Valley - Mt Whitney Change

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

17

September 19 2014

Calculating Change

Mount Whitney in California has an elevation of 14494 feet above sea level Death Valley in California has an elevation of 282 feet below sea level What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley

Difference Elevation of Elevation of or = Death Valley - Mt Whitney Change

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

18

September 19 2014

Find the change in temperature or elevation

Switch the order and then subtract

1 From -26 to 13 2 From -140 ft to -57 ft

3 From 33 m to -71 m 4 From -4 to -16

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

19

September 19 2014

Evaluating Expressions with Integers

a = -5 b = 6 c = -10

1 a - b 2 16 + c - (-20) 3 abc

Double negative becomes a positive4 -a + b

1 Write original expression2Use parenthesis to plug in for variables3 Solve

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

20

September 19 2014

PRACTICE QUIZ

1) 4 shy (shy12) = _____ 2) 21 shy 3 = _____

3) shy6 shy 7 = _____ 4) 12 shy (shy5) = _____

5) shy4 shy (shy7) = _____ 6) 3 shy 7 + 4 shy (shy6)= _____

7) shy12 + 3 = _____ 8) 21 + (shy10) + (shy3) = _____

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

21

September 19 2014

httpwwwfunbraincomcgishybinnlcgiA1=campA2=4ampA3=1ampA4=[1][0][shy1][0]ampA11=1ampA12=2

httpwwwquiacomcb64603html

httpambycomeducatemathinteg_x1html

httpwwwfunbraincomcgishybinosacgiA1=campA2=4ampA3=1200ampA4=700ampA5=[21][3][7][5][2][5][5][1][5][0][0][5][7][2][shy9][6][0][1]ampA6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4][1][2]ampA7=[0][0][1][2][3][2][4][1][4][2][1][shy2][0][3][4][shy35][3][5]ampA8=[shy10][3][2][2][1][2][9][1][5][shy18][3][3][5][2][9][4][2][3]ampA9=[9][1][7][0][3][7][shy5][0][3][8][1][1][0][0][4][4][0][shy8]ampA13=000000001000001100000000000000000000ampA14=4ampA15=3ampA16=800ampA18=1ampA19=3ampA10=[7][2][9][5][2][2][5][0][7][shy4][1][3][0][1][0][2][2][0]

httpwwwdositeycom2008addsubMystery11htms

httppbskidsorgcyberchasegamesnegativenumbersnegativenumbershtml

21and22addsubtract integers andintronotebook

22

September 19 2014

21and22addsubtract integers andintronotebook

23

September 19 2014

21and22addsubtract integers andintronotebook

24

September 19 2014

21and22addsubtract integers andintronotebook

25

September 19 2014

21and22addsubtract integers andintronotebook

26

September 19 2014

Study Multiplication Facts

21and22addsubtract integers andintronotebook

27

September 19 2014

Team Poster Checklist

Oslash Team name (Related to topic)

Oslash Names of team members (on the front)

Oslash At least one example of where the topic is seen in the real world (can use word or picture)

Oslash At least one professioncareer that would use the skills from the topic (can use word or picture)

Oslash Colorfully decorated

Oslash Neat and organized

21and22addsubtract integers andintronotebook

28

September 19 2014

Some important info ~ Evaluating Expressions~

solve by plugging in for variable1 Use parenthesis when you plug in number for variable2 Solving following order of operations

Operations

c (5)(3) 5 3d

21and22addsubtract integers andintronotebook

29

September 19 2014

~ Order of operations ~1 Parenthesis (Must follow order of operations inside)2 Exponents3 Multiply or Divide (Work left to right)4 Add or Subtract (Work left to right)

~ Examples ~

1 8(17 - 2) 2 14 + 6 3 5 [36 - (-13+9)] 18 - 13

21and22addsubtract integers andintronotebook

30

September 19 2014

~ Exponents ~

53 exponent 5 5 5

base factors

squared - second power cubed - third power

Examples

Exponents with negative signsodd and even of powers

-42 (-4)2

83 25

21and22addsubtract integers andintronotebook

31

September 19 2014

Evaluate if x = 4 y = 2 and z = 6

1 5x - z divide y 2 4z - y2 + xy

21and22addsubtract integers andintronotebook

32

September 19 2014

httpberghuisconzabiatormathssasaintegermultiplyhtml

21and22addsubtract integers andintronotebook

23

September 19 2014

21and22addsubtract integers andintronotebook

24

September 19 2014

21and22addsubtract integers andintronotebook

25

September 19 2014

21and22addsubtract integers andintronotebook

26

September 19 2014

Study Multiplication Facts

21and22addsubtract integers andintronotebook

27

September 19 2014

Team Poster Checklist

Oslash Team name (Related to topic)

Oslash Names of team members (on the front)

Oslash At least one example of where the topic is seen in the real world (can use word or picture)

Oslash At least one professioncareer that would use the skills from the topic (can use word or picture)

Oslash Colorfully decorated

Oslash Neat and organized

21and22addsubtract integers andintronotebook

28

September 19 2014

Some important info ~ Evaluating Expressions~

solve by plugging in for variable1 Use parenthesis when you plug in number for variable2 Solving following order of operations

Operations

c (5)(3) 5 3d

21and22addsubtract integers andintronotebook

29

September 19 2014

~ Order of operations ~1 Parenthesis (Must follow order of operations inside)2 Exponents3 Multiply or Divide (Work left to right)4 Add or Subtract (Work left to right)

~ Examples ~

1 8(17 - 2) 2 14 + 6 3 5 [36 - (-13+9)] 18 - 13

21and22addsubtract integers andintronotebook

30

September 19 2014

~ Exponents ~

53 exponent 5 5 5

base factors

squared - second power cubed - third power

Examples

Exponents with negative signsodd and even of powers

-42 (-4)2

83 25

21and22addsubtract integers andintronotebook

31

September 19 2014

Evaluate if x = 4 y = 2 and z = 6

1 5x - z divide y 2 4z - y2 + xy

21and22addsubtract integers andintronotebook

32

September 19 2014

httpberghuisconzabiatormathssasaintegermultiplyhtml

21and22addsubtract integers andintronotebook

24

September 19 2014

21and22addsubtract integers andintronotebook

25

September 19 2014

21and22addsubtract integers andintronotebook

26

September 19 2014

Study Multiplication Facts

21and22addsubtract integers andintronotebook

27

September 19 2014

Team Poster Checklist

Oslash Team name (Related to topic)

Oslash Names of team members (on the front)

Oslash At least one example of where the topic is seen in the real world (can use word or picture)

Oslash At least one professioncareer that would use the skills from the topic (can use word or picture)

Oslash Colorfully decorated

Oslash Neat and organized

21and22addsubtract integers andintronotebook

28

September 19 2014

Some important info ~ Evaluating Expressions~

solve by plugging in for variable1 Use parenthesis when you plug in number for variable2 Solving following order of operations

Operations

c (5)(3) 5 3d

21and22addsubtract integers andintronotebook

29

September 19 2014

~ Order of operations ~1 Parenthesis (Must follow order of operations inside)2 Exponents3 Multiply or Divide (Work left to right)4 Add or Subtract (Work left to right)

~ Examples ~

1 8(17 - 2) 2 14 + 6 3 5 [36 - (-13+9)] 18 - 13

21and22addsubtract integers andintronotebook

30

September 19 2014

~ Exponents ~

53 exponent 5 5 5

base factors

squared - second power cubed - third power

Examples

Exponents with negative signsodd and even of powers

-42 (-4)2

83 25

21and22addsubtract integers andintronotebook

31

September 19 2014

Evaluate if x = 4 y = 2 and z = 6

1 5x - z divide y 2 4z - y2 + xy

21and22addsubtract integers andintronotebook

32

September 19 2014

httpberghuisconzabiatormathssasaintegermultiplyhtml

21and22addsubtract integers andintronotebook

25

September 19 2014

21and22addsubtract integers andintronotebook

26

September 19 2014

Study Multiplication Facts

21and22addsubtract integers andintronotebook

27

September 19 2014

Team Poster Checklist

Oslash Team name (Related to topic)

Oslash Names of team members (on the front)

Oslash At least one example of where the topic is seen in the real world (can use word or picture)

Oslash At least one professioncareer that would use the skills from the topic (can use word or picture)

Oslash Colorfully decorated

Oslash Neat and organized

21and22addsubtract integers andintronotebook

28

September 19 2014

Some important info ~ Evaluating Expressions~

solve by plugging in for variable1 Use parenthesis when you plug in number for variable2 Solving following order of operations

Operations

c (5)(3) 5 3d

21and22addsubtract integers andintronotebook

29

September 19 2014

~ Order of operations ~1 Parenthesis (Must follow order of operations inside)2 Exponents3 Multiply or Divide (Work left to right)4 Add or Subtract (Work left to right)

~ Examples ~

1 8(17 - 2) 2 14 + 6 3 5 [36 - (-13+9)] 18 - 13

21and22addsubtract integers andintronotebook

30

September 19 2014

~ Exponents ~

53 exponent 5 5 5

base factors

squared - second power cubed - third power

Examples

Exponents with negative signsodd and even of powers

-42 (-4)2

83 25

21and22addsubtract integers andintronotebook

31

September 19 2014

Evaluate if x = 4 y = 2 and z = 6

1 5x - z divide y 2 4z - y2 + xy

21and22addsubtract integers andintronotebook

32

September 19 2014

httpberghuisconzabiatormathssasaintegermultiplyhtml

21and22addsubtract integers andintronotebook

26

September 19 2014

Study Multiplication Facts

21and22addsubtract integers andintronotebook

27

September 19 2014

Team Poster Checklist

Oslash Team name (Related to topic)

Oslash Names of team members (on the front)

Oslash At least one example of where the topic is seen in the real world (can use word or picture)

Oslash At least one professioncareer that would use the skills from the topic (can use word or picture)

Oslash Colorfully decorated

Oslash Neat and organized

21and22addsubtract integers andintronotebook

28

September 19 2014

Some important info ~ Evaluating Expressions~

solve by plugging in for variable1 Use parenthesis when you plug in number for variable2 Solving following order of operations

Operations

c (5)(3) 5 3d

21and22addsubtract integers andintronotebook

29

September 19 2014

~ Order of operations ~1 Parenthesis (Must follow order of operations inside)2 Exponents3 Multiply or Divide (Work left to right)4 Add or Subtract (Work left to right)

~ Examples ~

1 8(17 - 2) 2 14 + 6 3 5 [36 - (-13+9)] 18 - 13

21and22addsubtract integers andintronotebook

30

September 19 2014

~ Exponents ~

53 exponent 5 5 5

base factors

squared - second power cubed - third power

Examples

Exponents with negative signsodd and even of powers

-42 (-4)2

83 25

21and22addsubtract integers andintronotebook

31

September 19 2014

Evaluate if x = 4 y = 2 and z = 6

1 5x - z divide y 2 4z - y2 + xy

21and22addsubtract integers andintronotebook

32

September 19 2014

httpberghuisconzabiatormathssasaintegermultiplyhtml

21and22addsubtract integers andintronotebook

27

September 19 2014

Team Poster Checklist

Oslash Team name (Related to topic)

Oslash Names of team members (on the front)

Oslash At least one example of where the topic is seen in the real world (can use word or picture)

Oslash At least one professioncareer that would use the skills from the topic (can use word or picture)

Oslash Colorfully decorated

Oslash Neat and organized

21and22addsubtract integers andintronotebook

28

September 19 2014

Some important info ~ Evaluating Expressions~

solve by plugging in for variable1 Use parenthesis when you plug in number for variable2 Solving following order of operations

Operations

c (5)(3) 5 3d

21and22addsubtract integers andintronotebook

29

September 19 2014

~ Order of operations ~1 Parenthesis (Must follow order of operations inside)2 Exponents3 Multiply or Divide (Work left to right)4 Add or Subtract (Work left to right)

~ Examples ~

1 8(17 - 2) 2 14 + 6 3 5 [36 - (-13+9)] 18 - 13

21and22addsubtract integers andintronotebook

30

September 19 2014

~ Exponents ~

53 exponent 5 5 5

base factors

squared - second power cubed - third power

Examples

Exponents with negative signsodd and even of powers

-42 (-4)2

83 25

21and22addsubtract integers andintronotebook

31

September 19 2014

Evaluate if x = 4 y = 2 and z = 6

1 5x - z divide y 2 4z - y2 + xy

21and22addsubtract integers andintronotebook

32

September 19 2014

httpberghuisconzabiatormathssasaintegermultiplyhtml

21and22addsubtract integers andintronotebook

28

September 19 2014

Some important info ~ Evaluating Expressions~

solve by plugging in for variable1 Use parenthesis when you plug in number for variable2 Solving following order of operations

Operations

c (5)(3) 5 3d

21and22addsubtract integers andintronotebook

29

September 19 2014

~ Order of operations ~1 Parenthesis (Must follow order of operations inside)2 Exponents3 Multiply or Divide (Work left to right)4 Add or Subtract (Work left to right)

~ Examples ~

1 8(17 - 2) 2 14 + 6 3 5 [36 - (-13+9)] 18 - 13

21and22addsubtract integers andintronotebook

30

September 19 2014

~ Exponents ~

53 exponent 5 5 5

base factors

squared - second power cubed - third power

Examples

Exponents with negative signsodd and even of powers

-42 (-4)2

83 25

21and22addsubtract integers andintronotebook

31

September 19 2014

Evaluate if x = 4 y = 2 and z = 6

1 5x - z divide y 2 4z - y2 + xy

21and22addsubtract integers andintronotebook

32

September 19 2014

httpberghuisconzabiatormathssasaintegermultiplyhtml

21and22addsubtract integers andintronotebook

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September 19 2014

~ Order of operations ~1 Parenthesis (Must follow order of operations inside)2 Exponents3 Multiply or Divide (Work left to right)4 Add or Subtract (Work left to right)

~ Examples ~

1 8(17 - 2) 2 14 + 6 3 5 [36 - (-13+9)] 18 - 13

21and22addsubtract integers andintronotebook

30

September 19 2014

~ Exponents ~

53 exponent 5 5 5

base factors

squared - second power cubed - third power

Examples

Exponents with negative signsodd and even of powers

-42 (-4)2

83 25

21and22addsubtract integers andintronotebook

31

September 19 2014

Evaluate if x = 4 y = 2 and z = 6

1 5x - z divide y 2 4z - y2 + xy

21and22addsubtract integers andintronotebook

32

September 19 2014

httpberghuisconzabiatormathssasaintegermultiplyhtml

21and22addsubtract integers andintronotebook

30

September 19 2014

~ Exponents ~

53 exponent 5 5 5

base factors

squared - second power cubed - third power

Examples

Exponents with negative signsodd and even of powers

-42 (-4)2

83 25

21and22addsubtract integers andintronotebook

31

September 19 2014

Evaluate if x = 4 y = 2 and z = 6

1 5x - z divide y 2 4z - y2 + xy

21and22addsubtract integers andintronotebook

32

September 19 2014

httpberghuisconzabiatormathssasaintegermultiplyhtml

21and22addsubtract integers andintronotebook

31

September 19 2014

Evaluate if x = 4 y = 2 and z = 6

1 5x - z divide y 2 4z - y2 + xy

21and22addsubtract integers andintronotebook

32

September 19 2014

httpberghuisconzabiatormathssasaintegermultiplyhtml

21and22addsubtract integers andintronotebook

32

September 19 2014

httpberghuisconzabiatormathssasaintegermultiplyhtml

21and22addsubtract integers andintronotebook

33

September 19 2014

21and22addsubtract integers andintronotebook

34

September 19 2014

21and22addsubtract integers andintronotebook

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September 19 2014

• Page 1 Classifying integers
• Page 2 comparing integers
• Page 3 Jul 19-1108 AM
• Page 4 Sep 13-124 PM
• Page 5 Sep 10-812 AM
• Page 6 Sep 11-100 PM
• Page 7 rules for combining integers
• Page 8 Jul 18-957 AM
• Page 9 Jul 18-1114 AM
• Page 10 Sep 11-1118 AM
• Page 11 Sep 11-102 PM
• Page 12 Sep 11-916 AM
• Page 13 Subtracting integers and double negative
• Page 14 explore subtracting integers
• Page 15 Sep 11-224 PM
• Page 16 Sep 11-224 PM
• Page 17 Sep 11-800 AM
• Page 18 Sep 11-806 AM
• Page 19 Sep 10-809 AM
• Page 20 Jul 19-1052 AM
• Page 21 Jun 22-1051 AM
• Page 22 Sep 11-108 PM
• Page 23 Sep 11-108 PM
• Page 24 Sep 11-108 PM
• Page 25 Sep 11-109 PM
• Page 26 Sep 19-829 AM
• Page 27 Sep 19-831 AM
• Page 28 Sep 14-120 PM
• Page 29 Sep 14-130 PM
• Page 30 Sep 14-125 PM
• Page 31 Sep 26-840 AM
• Page 32 Sep 12-231 PM
• Page 33 Sep 11-1141 AM
• Page 34 Sep 13-819 AM
• Page 35 Sep 16-928 AM

21and22addsubtract integers andintronotebook

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September 19 2014

21and22addsubtract integers andintronotebook

35

September 19 2014

• Page 1 Classifying integers
• Page 2 comparing integers
• Page 3 Jul 19-1108 AM
• Page 4 Sep 13-124 PM
• Page 5 Sep 10-812 AM
• Page 6 Sep 11-100 PM
• Page 7 rules for combining integers
• Page 8 Jul 18-957 AM
• Page 9 Jul 18-1114 AM
• Page 10 Sep 11-1118 AM
• Page 11 Sep 11-102 PM
• Page 12 Sep 11-916 AM
• Page 13 Subtracting integers and double negative
• Page 14 explore subtracting integers
• Page 15 Sep 11-224 PM
• Page 16 Sep 11-224 PM
• Page 17 Sep 11-800 AM
• Page 18 Sep 11-806 AM
• Page 19 Sep 10-809 AM
• Page 20 Jul 19-1052 AM
• Page 21 Jun 22-1051 AM
• Page 22 Sep 11-108 PM
• Page 23 Sep 11-108 PM
• Page 24 Sep 11-108 PM
• Page 25 Sep 11-109 PM
• Page 26 Sep 19-829 AM
• Page 27 Sep 19-831 AM
• Page 28 Sep 14-120 PM
• Page 29 Sep 14-130 PM
• Page 30 Sep 14-125 PM
• Page 31 Sep 26-840 AM
• Page 32 Sep 12-231 PM
• Page 33 Sep 11-1141 AM
• Page 34 Sep 13-819 AM
• Page 35 Sep 16-928 AM

21and22addsubtract integers andintronotebook

35

September 19 2014

• Page 1 Classifying integers
• Page 2 comparing integers
• Page 3 Jul 19-1108 AM
• Page 4 Sep 13-124 PM
• Page 5 Sep 10-812 AM
• Page 6 Sep 11-100 PM
• Page 7 rules for combining integers
• Page 8 Jul 18-957 AM
• Page 9 Jul 18-1114 AM
• Page 10 Sep 11-1118 AM
• Page 11 Sep 11-102 PM
• Page 12 Sep 11-916 AM
• Page 13 Subtracting integers and double negative
• Page 14 explore subtracting integers
• Page 15 Sep 11-224 PM
• Page 16 Sep 11-224 PM
• Page 17 Sep 11-800 AM
• Page 18 Sep 11-806 AM
• Page 19 Sep 10-809 AM
• Page 20 Jul 19-1052 AM
• Page 21 Jun 22-1051 AM
• Page 22 Sep 11-108 PM
• Page 23 Sep 11-108 PM
• Page 24 Sep 11-108 PM
• Page 25 Sep 11-109 PM
• Page 26 Sep 19-829 AM
• Page 27 Sep 19-831 AM
• Page 28 Sep 14-120 PM
• Page 29 Sep 14-130 PM
• Page 30 Sep 14-125 PM
• Page 31 Sep 26-840 AM
• Page 32 Sep 12-231 PM
• Page 33 Sep 11-1141 AM
• Page 34 Sep 13-819 AM
• Page 35 Sep 16-928 AM