Year 7 - Maths
Priority of operations with positive and negative integers, decimals and fractions
Arithmetic procedures with fractions
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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 revisits and secures fraction operations and extends pupil understanding to division of whole numbers by fractions and division of fractions by fractions.
Lesson Summary
You will learn to calculate using priority of operations, including brackets, powers, exponents and reciprocals with positive and negative integers, decimals and fractions.
Key Notes
- Division and multiplication have the same priority.
- With addition and subtraction the convention is to move from left to right.
- Brackets make the priority much clearer and avoid ambiguity.
- Sometimes brackets can be implicit.
Vocabulary To Learn
- Additive inverse: The additive inverse of a number is a number that, when added to the original number, gives the sum of 0.
Common Mistakes To Avoid
- Priority of operations does not apply to fractions
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Division and multiplication have the same priority. With addition and subtraction the convention is to move from left to right.
2. Use this key word in a maths sentence and explain it clearly. 'Additive inverse'
The additive inverse of a number is a number that, when added to the original number, gives the sum of 0. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Priority of operations does not apply to fractions. Correction: Priority of operations applies to all numbers. They can check with a scientific calculator as the priority of operations is programmed in.
More Lessons In This Unit
- Checking and securing dividing a fraction by a whole number Study Guide
- Checking understanding of addition and subtraction with fractions Study Guide
- Checking understanding of multiplication with fractions Study Guide
- Deepening understanding of multiplication with fractions Study Guide
- Dividing a fraction by a fraction Study Guide
- Dividing a whole number by a fraction Study Guide
- Problem solving with arithmetic procedures involving fractions Study Guide
- Securing understanding of addition and subtraction with fractions Study Guide
- Securing understanding of multiplication with fractions Study Guide
Browse all guides in the Year 7 Maths guide library.