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MA19-01 Maths Coming soon

Convert between fractions and terminating decimals, and order them

MA19-01

This lesson is coming soon.

In this lesson

Convert a terminating decimal to its equivalent fraction and back, and correctly order a mixed list of fractions and decimals by comparing true place value rather than counting decimal places.

What it covers

  • Converting a terminating decimal to its equivalent fraction (using place value to find the denominator, then simplifying)
  • Converting a fraction to a decimal (dividing numerator by denominator)
  • Comparing and ordering a mixed list of fractions and decimals by converting them into the same form and comparing true place value
  • Correcting the 'more decimal places = bigger number' misconception

Key words

For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560

On the specification

BoardSpecStatement
AQA GCSE 8300N10Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8)
Edexcel GCSE 1MA1N10Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 or 3/8)
Eduqas GCSE C300FN10Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8)
Eduqas GCSE C300HN10Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8); change recurring decimals into their corresponding fractions and vice versa
OCR GCSE J5602.02aExpress a simple fraction as a terminating decimal or vice versa, without a calculator. Understand and use place value in decimals.
For teachers

This GCSE Maths lesson teaches convert between fractions and terminating decimals, and order them. By the end, students should be able to convert a terminating decimal to its equivalent fraction and back, and correctly order a mixed list of fractions and decimals by comparing true place value rather than counting decimal places. It works through three worked examples and the mistakes examiners report.