Recognise the effects of multiplying and dividing by numbers between 0 and 1​

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-Recognise the equivalence of 0.1 1/10 and 10-1 multiply and divide whole numbers and decimals by 10 to the power of any positive or negative integer

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Learning Objective

Remember

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30 ÷ 1 = 30

30 ÷​ 10 = 3

30 ÷ 100 = 0.3

30 ÷​ 1000 = 0.03

Divide by 10

3 x 1 = 3

3 x 10 = 30

3 x 100 = 300​

0.3 x 100 = 30​

Multiply by 10

When you multiply any number by a decimal number between 0 and 1, your answer will be smaller than the number you started with

Multiplying Decimals

When you divide any number by a decimal number between 0 and 1, your answer will be greater than the number you started with.

Dividing Decimals

First, think to multiply without decimals

After that, you can follow the point to the left​

Just Multiply

We know 12 x 6 = 72

so 12 x 6 ÷ 10 = 72 ÷​ 10

we can write 12 x 0.6 = 7.2

12 x 0.6 = ...

Multiplying Decimals

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First, think to divide without decimals

After that, you can follow the point to the right

Just Multiply

We know 24 ÷ 4 = 6

so 24 ÷ 0.4 = 60​

​it from 240 ÷ 4 = 60

24 ÷ 0.4 = ...

Dividing Decimals

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Operate the fraction

(fraction is dividing operation)​

Operate the multiply on numerator and denominator

Complex operation

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10^-2, 10^-3, 10^-4

10², 10³, 10⁴

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