Year 7 - Maths
Ordering 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 compare decimals using < and >.
Key Notes
- Decimals can be compared using place value tables.
- Decimals can be compared on a number line.
- Decimals comparisons can be expressed using < and >.
Vocabulary To Learn
- Place value: The value of a digit in a number based on where it is placed is known as place value.
- 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.
Common Mistakes To Avoid
- Considering the decimal part of a number to be an integer.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Decimals can be compared using place value tables. Decimals can be compared on a number line.
2. Use this key word in a maths sentence and explain it clearly. 'Place value'
The value of a digit in a number based on where it is placed is known as place value. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Considering the decimal part of a number to be an integer. Correction: Reinforce the use of a place value table and working from left to right when comparing decimals. It can be useful to use money here.
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 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.