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Comparing & Converting Decimals

Maths: Edexcel IGCSE Higher, topic 1.3.4

Comparing Decimals and Fractions

Which is bigger: 0.3 or 1⁄3?

Write 1⁄3 as a decimal

Write 1⁄3 as a decimal

Compare decimals

Compare decimals

Therefore 1⁄3 is bigger than 0.3

Therefore 1⁄3 is bigger than 0.3

Converting Between Decimals and Percentages

Decimal to percentage

Decimal to percentage

  • To convert from a decimal to a percentage multiply by 100 and add the % sign.
Percentage to decimal

Percentage to decimal

  • To convert from a percentage to a decimal divide by 100 and remove the % sign.

Converting Recurring Decimals to Fractions

To convert a recurring decimal into a fraction e.g. 0.2545454545454... do the following things:

Step 1

Step 1

  • Name the decimal.
Step 2

Step 2

  • Multiply by a power of ten to move any non repeating parts of the number to the left of the decimal point.
Step 3

Step 3

  • Expand the decimal by one repeating section.
Step 4

Step 4

  • Multiply by a power of ten so that one repeating section is to the left of the decimal point but the recurring section is to the right.
Step 5

Step 5

  • Subtract one from the other to remove the recurring part of the number.
Step 6

Step 6

  • Divide to leave r on its own on one side then cancel if possible.

Test yourself on Comparing & Converting Decimals

  • Ordering Numbers

  • Which is larger: 0.4 or 1⁄4?

  • Ordering Numbers

  • Which of these is a decimal larger than 23 {\frac{2}{3}} ?

  • Which of these values is larger than 0.745?

Practise this topic for free