Year 7 - Maths
Converting terminating decimals to fractions
Comparing and ordering fractions and decimals (positive and negative)
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Study Guides
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 appreciate that any terminating decimal can be written as a fraction with a denominator of the form 10^n.
Key Notes
- Place value of decimals can be represented with exponentials in the column headings.
- Terminating decimals have fraction equivalents.
- All terminating fractions can be written with exponential denominator with 10 as the base.
Vocabulary To Learn
- Terminating decimal: A terminating decimal is one that has a finite number of digits after the decimal point.
Common Mistakes To Avoid
- The more decimal places there are, the greater the number.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Place value of decimals can be represented with exponentials in the column headings. Terminating decimals have fraction equivalents.
2. Use this key word in a maths sentence and explain it clearly. 'Terminating decimal'
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: The more decimal places there are, the greater the number. Correction: Pupils can investigate this by looking at the numbers 0.23 and 0.1237 and using a common denominator or 10000.
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 to terminating decimals Study Guide
- Converting fractions with technology 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.