Powers of 10 in Fraction

Converting Fractions to Decimals

Wednesday, 22 March 2023​

​Learning Objective

I will understand how to convert fractions to decimals.

​Expectations

Full focus - no other tabs.

Note-taking in Maths notebook.

Think how could we change 1/5 to a decimal.

I am looking for the process, not the answer.

Is there more than 1 way to do it?

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​How can we convert a fraction to a decimal?

Converting a fraction to a decimal using equivalent fractions

("Power of 10" Denominators)

Converting Fractions to Decimals Using Division

Convert a fraction to a decimal using equivalent fractions

​To convert a fraction to a decimal when the denominator is a factor or multiples of powers of ten:

1. Write an equivalent fraction with a denominator that is a power of ten.

2. Use place value to convert this fraction to a decimal.

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How to convert a fraction to a decimal using division

​Fractions can be converted into decimals by division. This method works for converting any fraction to a decimal:

• Divide the numerator by the denominator.

• Understanding short division can be helpful when using this method.

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Knowing these are handy for converting fractions to decimals mentally..

1/2

1/3

1/4

1/5

1/10

Get ready to practice!!

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​Common conversions

Match

Match the following

• 0.5

• 0.25

• 0.1

• 0.75

• 0.33

1/2

1/4

1/10

3/4

1/3

• 1/2

• 1/4

• 1/10

• 3/4

• 1/3

Multiple Choice

Choose the correct denominator for the fraction.

• A

• B

• C

• D

Multiple Choice

What is 0∙003 as a fraction?

• A

• B

• C

• D

Multiple Choice

Which of the following options have NOT been converted correctly to a fraction?

• A

• B

• C

• D

Multiple Choice

Which of these fractions CANNOT be written as an equivalent fraction with a denominator of 100?

• A

• B

• C

• D

Multiple Choice

Which of these fractions is equal to 0.1?

• A

• B

• C

• D

Multiple Choice

Which of these statements are correct?

• A

• B

• C

• D

Multiple Choice

 Which of these fractions will NOT give a recurring decimal?

• A

• B

• C

• D

Multiple Choice

 Convert this fraction to a decimal.

• 0.13

• 0.25

• 0.52

• 0.65

Multiple Choice

What is 24⁄600 as an equivalent fraction with a denominator of 100?

• A

• B

• C

• D

Multiple Choice

Which TWO of these statements are correct?

• A + C

• B + D

• A + B

• C + D

Multiple Choice

Which TWO calculations are correct for converting 5⁄8 to a decimal?

• A + C

• A + D

• B + C

• B + D

​Show your understanding

of today's lesson

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