Year 7 - Maths
Multiplication and division where two or more values are negative
Arithmetic procedures with integers and decimals
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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
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 use the mathematical structures that underpin multiplication and division of negative integers.
Key Notes
- Multiplication with negative numbers can be turned into a subtraction.
- Division is the inverse operation of multiplication.
- The rules for multiplying with negative numbers can be extended to division.
Vocabulary To Learn
- Absolute value: The absolute value of a number is its distance from zero. E.g. 5 and (-5) are both 5 away from zero and so both have an absolute value of 5.
- Product: A product is the result of two or more numbers multiplied together.
Common Mistakes To Avoid
- Using the phrase '2 negatives make a positive'.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Multiplication with negative numbers can be turned into a subtraction. Division is the inverse operation of multiplication.
2. Use this key word in a maths sentence and explain it clearly. 'Absolute value'
The absolute value of a number is its distance from zero. E.g. 5 and (-5) are both 5 away from zero and so both have an absolute value of 5. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Using the phrase '2 negatives make a positive'. Correction: Ensuring pupils understand the structure of the maths and not 'tricks' is so important. Encourage the use of correct language at all times.
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
- Multiplying with decimals Study Guide
- Priority of operations with positive and negative integers and decimals Study Guide
- Priority of operations with positive integers 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.