1. MULTIPLYING AND DIVIDING INTEGERS AND DECIMALS BY 10, 100 AND 1000

2. LEARNING OBJECTIVES
TO KNOW THE EFFECT OF MULTIPLYING NUMBERS BY 10, 100 AND 1000
TO BE ABLE TO MULTIPLY AND DIVIDE NUMBERS BY 10, 100 AND 1000
TO USE UNDERSTANDING OF PLACE VALUE TO MULTIPLY AND DIVIDE WHOLE NUMBERS AND DECIMALS BY 10, 100 AND 1000

4. CHOOSE THE CORRECT ANSWER FROM THE BOXES
DO NOW!
CHOOSE THE CORRECT ANSWER FROM THE BOXES

5. L.O. multiply and divide by 10/100
24 x 10 24 42
420
240

6. L.O. multiply and divide by 10/100
37 x 10
3700 37
370
307

7. L.O. multiply and divide by 10/100
187 x 10
1870
1780
180
18700

8. L.O. multiply and divide by 10/100
24 x 100
240
420
4200 20

9. L.O. multiply and divide by 10/100
60 ÷ 10 6 06 60
600

10. L.O. multiply and divide by 10/100
3000 ÷ 10
300 30
30,000
3000

11. L.O. multiply and divide by 10/100
740 ÷ 10
740 74
7,400
400

12. STARTER
26 000, 26, WHICH NUMBER IS MISSING IN THE SEQUENCE?

13. 2600
WHAT IS THE RELATIONSHIP BETWEEN THE NUMBERS?

14. WHAT HAPPENS IF WE MULTIPLY 19 BY 10?
19 X 10 = 190
It looks as if we ‘add a zero’ because the numbers all move one place along the place value grid to the left.(the number is 10 times bigger)
Numbers have digits that occupy particular places according to their value.

15. Multiplying by 10

16. Multiplying by 100
What do you think is the multiplication question in the grid?

17. 19 x 100
When you multiply a number by 100, the number becomes 100 times bigger!
Multiplying by 100 is the same as multiplying by 10 and by 10 again

18. Multiplying decimals by 10,100 and 1000
Sam has saved £3.46. His rich uncle says he will multiply his savings by 100!
£3.46 x 100 =

19. Have a go!
1.8 x 10=
3.9 x 10=
1.38 x 100=
27.9 x 100=
0.056 x 10=

20. Di viding by 10
The length of Jo’s shelf is 126cm. He wants to put 10 boxes on this shelf. How much space will she have for each box?
126cm ÷ 10 =

21. Dividing by 10
When dividing by 10, the digits move to the right one place. ( the number is 10 times smaller)
126cm ÷ 10 = 12.6cm
Joe has 12.6cm for each of her boxes.

22. What happened? Each digit has moved one place to the left.
The opposite of what happened in multiplication, were each digit moved to the right.

23. Dividing by 100

24. Have a go!
18÷ 10 =
374 ÷ 10 =
257 ÷ 100 =
81352 ÷ 1000 =
1.34 ÷ 100 =

25. Recap MULTIPLYING DIVIDING X 10 DIGITS MOVE LEFT 1 SPACE
X DIGITS MOVE LEFT 2 SPACES
X DIGITS MOVE LEFT 3 SPACES
DIVIDING
÷ DIGITS MOVE LEFT 1 SPACE
÷ DIGITS MOVE LEFT 2 SPACES
÷ DIGITS MOVE LEFT 3 SPACES

26. Work out using the place value grid
286 x 10 =
36.24 x 10 =
1.572 x 100=
6345 ÷ 1000=
5.39 ÷ 10 =

27. Complete by writing the missing number.
_______x 10 = 1820
________x 100=
16.8 x _____=
0.834 x ____ = 83.4
______ ÷ = 7000
______ ÷ = 804
530 ÷ _____= 0.53
÷ _____ =

28. Extension How many centimeters make: 380m? 2000m?
How many meters make:
72km?
4500km?

29. I hope you enjoyed today’s lesson
I hope you enjoyed today’s lesson! Did you achieve the objectives for the day?
I would be expecting your answers to slide 25, 26 and 27 in my box