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:

3 13:

10, 100, 1.000

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14 10, 100, 1.000

52 10 =520 67 10 =................. 6,25 10 = 62,5 8,35 10 = ...................

52 100= 5.200 67 100=.................. 6,25 100= 625 8,35 100 = ..................

52 1.000= 52.000 67 1.000=..................6,25 1.000= 6.250 8,35 1.000 = ..............

289,5 : 10 = 28,95 751,8 : 10 = .......................... 22.490:10 =2249,0

289,5 : 100 = 2,895 751,8 : 100 = ......................... 22.490:100 =224,90

289,5 : 1.000 =0,2895 751,8 : 1.000 =.................... 22.490:1.000 =22,490

2,48 10 =..................... 238,5 10 =.....................0,09 10 = .................... 0,756 100=.......................

0,9 100=........................... 2,48 1.000=.................................. 0,6 1.000= .................................

4,28 : 10 = ......................5,9 : 10= ........................ 617,100 : 100= ........................ 7:1.000 = ........................

538,2 : 1.000 = .............................. 0,7 : 100 = .......................... 448 : 10 =........................................

10,100,1.000

1,2 3 .

10, 100 1.000 10, 100, 1.000

10, 100 1.000 10, 100, 1.000


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57

13 10, 100, 1.000

10, 100, 1.000 : , .

( .. 5 10 = 50 , 87 100 = 8.700 , 67 1.000 = 67.000 ) 10, 100, 1.000 : . ( .. 14,75 10 = 147,5 , 12,345 100 = 1.234,5 , 0,005 1.000 = 5 )

,

.

( .. 5,4 100 = 540 , 32,47 1.000 = 32.470 )

10, 100, 1.000 10, 100, 1.000: , , , .

( .. 69 : 10 = 6,9 , 758 : 100 = 7,58 , 2.654 : 1.000 = 2,654 )

, , .

( .. 5 : 10 = 0,5 , 7 : 100 = 0,07 , 52 : 1.000 = 0,052 ) 10, 100, 1.000: . ( .. 23,84.:.10 = 2,384 , 23,84 : 100 = 0,2384 , 543,2 : 1.000 = 0,5432 )

,

, , .

( .. 0,5 : 10 = 0,05 , 0,5 : 100 = 0,005 , 26,3 : 1.000 = 0,0263 )

1. 0,98 . 10 , 100 1.000 ;

2. 0,65 . 100

1.000 ;


, www.atheo.gr -

58

3. :

4. 100 8.500 .

; 5. 15 .

. ;

6. 0,80 . 10 , 100

1.000 ; 7. : 0,80 10 = . 204 100 = . 10,572 1.000 = . 458 10 = .

0,196 100 = . 6,14 1.000 = 532 10 = . 6,5 100 = .

8. :

32 : 10 = . 7,8 : 100 = . 1982 : 1.000 = . 0,05 : 10 = .

75,06 : 100 = . 2 : 1.000 = . 175 : 10 = . 210,04 : 100 = .

9. 120 . 100 ;

10. 10 140 . ;

11. 1,35 . 10 , 100 100 ;

12. 48.000 . 10 , ;

10 100 1.000 5

10 100 1.000 54,987

: 10 100 1.000 77

: 10 100 1.000 7,75

10 100 1.000 0,55

: 10 100 1.000

0,55


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10, 100, 1.000

- 10, 100, 1000: , .

( .. 5 10 = 50 , 87 100 = 8700 , 67 1.000 = 67.000 )

- 10, 100, 1000 : .

( .. 14,75 10 = 147,5 , 12,345 100 = 1234,5 , 0,005 1.000 = 5,000 )

, .

( .. 5,4 100 = 540 , 32,47 1000 = 32.470 )

10, 100, 1.000

- 10, 100, 1000:, , , .

( .. 69 :10 = 6,9 , 758 : 100 = 7,58 , 2.654 : 1.000 = 2,654 )

, , .

( .. 5 : 10 = 0,5 , 7 : 100 = 0,07 , 52 : 1000 = 0,052 )

- 10, 100, 1000: .

( .. 23,84 :10 = 2,384 , 23,84 : 100 = 0,2384 , 543,2 : 1.000 = 0,5432 )

,, , .

(.. 0,5 : 10 = 0,05 , 0,5 : 100 = 0,005 , 26,3:1000 = 0,0263)


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1. :

2. 1,33 . 10, 100 1.000 ;

: .

3. 0,65 . 100 1.000 ;

: .

4. 100 8.500 . ;

: .

5. 15 . . ;

: .

6. 0,42 . 10 , 100 1.000 ;

: .

54,987

0,55

77

7,75

0,55

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5. 15 . . ;

: .

6. 0,42 . 10 , 100 1.000 ;

: .

7. :0,80 10 = . 204 100 = . 10,572 1.000 = . 458 10 = .0,196 100 = . 6,14 1.000 = 532 10 = . 6,5 100 = .

: .

8. :32 : 10 = . 7,8 : 100 = . 1982 : 1.000 = . 0,05 : 10 = .75,06 : 100 = . 2 : 1.000 = . 175 : 10 = . 210,04 : 100 = .

: .

9. 120 . 100 ;

: .

10. 10 140 . ;

: .

11. 1,35 . 10 , 100 100 ;

: .

12. 48.000 . 10 , ;

: .

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10, 100

1.000 *To 2 50 10, 100 1.000 https://www.youtube.com/watch?v=-0daM2c1lI8

10, 100, 1000:

10, 100 1000.

. . 45100=4.500

10, 100, 1000:


https://www.youtube.com/watch?v=-0daM2c1lI8

10, 100 1000. . . 673:100=6,73

10, 100, 1000:

( ) , 10, 100

1000. , , ( ) . . 3,510=35

10, 100, 1000:

( ) , ,

10, 100 1000. , , . . . 47,6:10=4,76 47,6: 1.000=0,0476


10, 100, 1.000


10, 100, 1.000

,

.. 34 10 = 340 34 100 = 3.400 34 1.000 = 34.000


10, 100, 1.000

,

.. 3,46 10 = 34,6 0,84 100 = 84

,

.. 23,45 1.000 = 23.450


10, 100, 1.000

,

.. 69:10 = 6,9 453:100 = 4,53

, , ,

.. 6:100 = 0,06 4:1.000 = 0,004 : http://e-taksh.blogspot.gr .13

10, 100, 1.000

.. 16,78: 10 = 1,678

, , ,

.. 4,3:1.000 = 0,0043


10, 100, 1.000,

10, 100, 1.000, 10 100 1.000 .

1, 2 3 .

.. 8:10 = 8:100 = 0,8:100 =

0,8 0,08

0,008


0,1, 0,01, 0,001,

0,1, 0,01, 0,001, 10 100 1.000 .

1, 2 3 .

.. 12,3:10 = 12,3:1.000 = 12,3:100 =

123 12.300

1.230


: ___________________________________________________

1. .

150 10 = . 4.750 100 = 6.752 1.000= ...

1,5 10 = . 4,7 100 = 5,2 1.000= ...

0,08 10 = . 0,3 100 = 0,43 1.000= ...

7 : 10 = . 6 : 100 = 9 : 1.000= ...

35 : 10 = . 56 : 100 = 75 : 1.000= ...

8,5 : 10 = . 2,5 : 100 = 6,01 : 1.000= ...

2. .

4,8 = 480 10 .. =6 0,05 ..= 0,5

100 = 2,5 0,678 .. =67,8 1.000 ..= 500

15,5 : = 1,55 45 : .. = 0,45 19 : ..= 0,019

. : 10 = 0,35 .. : 100 = 6,57 : 1.000 =0,0421

3.

10 100 1.000

2,48

95

1.250

46,2

4. :

1.200 10

1 .

10

1 500 .

15 000.1

1 .

100

1 0,5 .

0,4 10

1 .

000.1

1 600 .

:10 :100 :1.000

2.546

472

14,56

235,8


10 000 1000 100 10 1 1101

1001

1000

MultiplyingX 10 digits move LEFT 1 spaceX 100 digits move LEFT 2 spacesX 1000 digits move LEFT 3 spaces

Dividing 10 digits move RIGHT 1 space 100 digits move RIGHT 2 spaces 1000 digits move RIGHT 3 spaces

Multiplying and Dividing by 10, 100 and 1000

2012 www.greatmathsteachingideas.com: http://e-taksh.blogspot.gr .18

http://www.greatmathsteachingideas.comhttp://www.greatmathsteachingideas.com

0 1 2 3 4 5 6 7 8 90 1 2 3 4 5 6 7 8 90 1 2 3 4 5 6 7 8 90 1 2 3 4 5 6 7 8 90 1 2 3 4 5 6 7 8 9

2012 www.greatmathsteachingideas.comCut these out and then use them to do calculations on the first sheet of paper: http://e-taksh.blogspot.gr .19



2012 www.greatmathsteachingideas.com

a) 7 X 10 =b) 13 X 10 =c) 5.43 X 10 =d) 34.1 X 100 =e) 32 X 100 =f) 1.234 X 100 =g) 3.2 X 1000 =h) 0.32 X 1000 =i) 0.001 X 1000 =j) 43 10 =k) 432 10 =l) 0.2 10 =m) 432 100 =n) 121.3 100 = o) 0.2 100 =

p) 3234 1000 =q) 433 1000 = r) 7 1000 =s) 0.003 X 10 =t) 32.003 X 100 =u) 399.9 10 =v) 3.333 X 1000 =w) 87230 1000 =x) 0.203 X 100 =y) 0.001 X 10 000 =z) 132.345 1000 =

Finished? Make up some of your own then solve them

Use your number cards and template worksheet to help you answer these questions:




2012 www.greatmathsteachingideas.com

a) 7 X 10 = 70b) 13 X 10 = 130c) 5.43 X 10 = 54.3d) 34.1 X 100 = 3410e) 32 X 100 = 3200f) 1.234 X 100 = 123.4g) 3.2 X 1000 = 3200h) 0.32 X 1000 = 320i) 0.001 X 1000 = 1j) 43 10 = 4.3k) 432 10 = 43.2l) 0.2 10 = 0.02m) 432 100 = 4.32n) 121.3 100 = 1.213o) 0.2 100 = 0.002

p) 3234 1000 = 3.234q) 433 1000 = 0.433r) 7 1000 = 0.007s) 0.003 X 10 = 0.03t) 32.003 X 100 = 3200.3u) 399.9 10 = 39.99v) 3.333 X 1000 = 3333w) 87230 1000 = 87.23x) 0.203 X 100 = 20.3y) 0.001 X 10 000 = 10z) 132.345 1000 = 0.132345

Finished? Make up some of your own then solve them

ANSWERS



3.14. 10, 100, 1.000 mathimatika13 Giorgos Baroutas 10 10, 100 10, 100, 1.000 10, 100, 1.000 10, 100, 1.000 10, 100, 1.000 10, 100, 1.000

random-120927153833-phpapp0214. 10, 100, 1.000Multiplying-and-dividing-by-10-100-and-1000

Μαθηματικά Ε΄ 3.14. ΄΄Γρήγοροι πολλαπλασιασμοί και...

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