Year 7 - Maths
Converting fractions to terminating decimals
Comparing and ordering fractions and decimals (positive and negative)
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
This unit develops understanding and manipulation of fractions, including conversion between fractions to terminating and recurring decimals. Pupils then learn strategies to order fractions of increasing complexity.
Lesson Summary
You will learn to divide the numerator of a fraction by its denominator and know that this results in an equivalent terminating decimal.
Key Notes
- The line in a fraction means divide.
- Dividing the numerator by the denominator may result in an equivalent terminating decimal.
- It can be shown that 1/2, 1/4 and 1/10 have equivalent terminating decimals.
- Using a calculator can help investigate fractions which are equivalent to terminating decimals.
Vocabulary To Learn
- Terminating decimals: A terminating decimal is one that has a finite number of digits after the decimal point.
Common Mistakes To Avoid
- Denominators that are multiples of 10 will give a terminating decimal.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The line in a fraction means divide. Dividing the numerator by the denominator may result in an equivalent terminating decimal.
2. Use this key word in a maths sentence and explain it clearly. 'Terminating decimals'
A terminating decimal is one that has a finite number of digits after the decimal point. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Denominators that are multiples of 10 will give a terminating decimal. Correction: Investigate the difference between powers of 10 and multiples of 10. e.g 7/30 and 7/100.
More Lessons In This Unit
- Between numbers Study Guide
- Checking and securing converting improper fractions to mixed numbers Study Guide
- Checking and securing converting mixed numbers to improper fractions Study Guide
- Checking and securing understanding of fractions Study Guide
- Converting fractions to recurring decimals Study Guide
- Converting fractions with technology Study Guide
- Converting terminating decimals to fractions Study Guide
- Limitations of technology in calculations Study Guide
- Ordering decimals Study Guide
- Ordering fractions by converting Study Guide
- Ordering fractions by way of a common denominator Study Guide
- Ordering fractions in different ways Study Guide
- Ordering negative integers Study Guide
- Ordering positive and negative fractions and decimals Study Guide
- Problem solving with fractions and decimals Study Guide
- Simplifying fractions Study Guide
- The identity property of multiplication and division Study Guide
Browse all guides in the Year 7 Maths guide library.