Year 7 - Maths
Priority of operations with positive integers
Arithmetic procedures with integers and decimals
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils develop their ability and efficacy with the four operations including more complicated and challenging calculations involving fractions, decimals and negative numbers. This leads into an exploration of the priority order of operations.
Lesson Summary
You will learn to calculate using priority of operations, including brackets, powers and exponents with positive integers.
Key Notes
- Division and multiplication have the same priority.
- With addition and subtraction, subtractions can all be re-written as additions of the additive inverse.
- Brackets can 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.
- Commutative: An operation is commutative if the values it is operating on can be written in either order without changing the calculation.
Common Mistakes To Avoid
- Students do not see the implicit brackets. Eg. Sqrt(49 + 36) is not sqrt(49) + sqrt(36)
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, subtractions can all be re-written as additions of the additive inverse.
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: Students do not see the implicit brackets. Eg. Sqrt(49 + 36) is not sqrt(49) + sqrt(36). Correction: Look for extended lines or operations which indicate an implicit brackets.
More Lessons In This Unit
- Addition of positive and negative integers Study Guide
- Checking and securing understanding of multiplication and division Study Guide
- Checking and securing understanding of negative numbers in context Study Guide
- Checking and securing understanding of written addition and subtraction strategies Study Guide
- Checking understanding of arithmetic procedures with integers and decimals Study Guide
- Dividing with decimals Study Guide
- Multiplication and division where only one value is negative Study Guide
- Multiplication and division where two or more values are negative Study Guide
- Multiplying with decimals Study Guide
- Priority of operations with positive and negative integers and decimals Study Guide
- Problem solving with integers and decimals Study Guide
- Securing understanding of arithmetic procedures with integers and decimals Study Guide
- Simplifying multiplication and division using multiples of 10 Study Guide
- Subtraction of positive and negative integers Study Guide
- Using the associative, commutative and distributive laws together Study Guide
- Using your calculator efficiently Study Guide
Browse all guides in the Year 7 Maths guide library.