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

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Presentation on theme: "MULTIPLYING AND DIVIDING INTEGERS AND DECIMALS BY 10, 100 AND 1000."— Presentation transcript:

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

2  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 LEARNING OBJECTIVES

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

5 L.O. multiply and divide by 10/ x

6 L.O. multiply and divide by 10/ x

7 L.O. multiply and divide by 10/ x

8 L.O. multiply and divide by 10/ x

9 L.O. multiply and divide by 10/ ÷

10 L.O. multiply and divide by 10/ ÷ ,

11 L.O. multiply and divide by 10/ ÷ ,

12 26 000, 26, 260. WHICH NUMBER IS MISSING IN THE SEQUENCE? STARTER

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

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

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

20  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 = Di viding by 10

21  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. Dividing by 10

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

23 Dividing by 100

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

25 Recap  MULTIPLYING X 10 DIGITS MOVE LEFT 1 SPACE X 100 DIGITS MOVE LEFT 2 SPACES X 1000 DIGITS MOVE LEFT 3 SPACES  DIVIDING ÷10 DIGITS MOVE LEFT 1 SPACE ÷100 DIGITS MOVE LEFT 2 SPACES ÷1000 DIGITS MOVE LEFT 3 SPACES

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

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

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

29  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

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