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

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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

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**CHOOSE THE CORRECT ANSWER FROM THE BOXES**

DO NOW! CHOOSE THE CORRECT ANSWER FROM THE BOXES

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**L.O. multiply and divide by 10/100**

24 x 10 24 42 420 240

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**L.O. multiply and divide by 10/100**

37 x 10 3700 37 370 307

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**L.O. multiply and divide by 10/100**

187 x 10 1870 1780 180 18700

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**L.O. multiply and divide by 10/100**

24 x 100 240 420 4200 20

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**L.O. multiply and divide by 10/100**

60 ÷ 10 6 06 60 600

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**L.O. multiply and divide by 10/100**

3000 ÷ 10 300 30 30,000 3000

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**L.O. multiply and divide by 10/100**

740 ÷ 10 740 74 7,400 400

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

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2600 WHAT IS THE RELATIONSHIP BETWEEN THE NUMBERS?

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**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.

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Multiplying by 10

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

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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

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**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 =

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

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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 =

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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.

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**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.

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Dividing by 100

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

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**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

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**Work out using the place value grid**

286 x 10 = 36.24 x 10 = 1.572 x 100= 6345 ÷ 1000= 5.39 ÷ 10 =

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**Complete by writing the missing number.**

_______x 10 = 1820 ________x 100= 16.8 x _____= 0.834 x ____ = 83.4 ______ ÷ = 7000 ______ ÷ = 804 530 ÷ _____= 0.53 ÷ _____ =

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**Extension How many centimeters make: 380m? 2000m?**

How many meters make: 72km? 4500km?

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**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

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