Year 7 - Maths
Ordering fractions by converting
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 compare and order fractions by converting to decimals.
Key Notes
- Fractions can be converted to decimals by division.
- Fractions can be compared by converting them to decimals.
- A list of fractions can be ordered by converting them all to decimals.
Vocabulary To Learn
- Decimal form: A number is in decimal form when the decimal point is shown and there are digits to the right of the decimal point.
- Numerator: The expression in a fraction that is written above the fraction line. It is the dividend.
- Denominator: The expression in a fraction that is written below the fraction line. It is the divisor.
Common Mistakes To Avoid
- Fractions with denominators that are not a factors of 10^n cannot be converted into a decimal.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Fractions can be converted to decimals by division. Fractions can be compared by converting them to decimals.
2. Use this key word in a maths sentence and explain it clearly. 'Decimal form'
A number is in decimal form when the decimal point is shown and there are digits to the right of 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: Fractions with denominators that are not a factors of 10^n cannot be converted into a decimal. Correction: This is a good opportunity to reiterate that fractions are an alternative way of writing a division.
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
- Converting terminating decimals to fractions Study Guide
- Limitations of technology in calculations Study Guide
- Ordering decimals 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.