Year 7 - Maths
Multiplying with decimals
Arithmetic procedures with integers and decimals
Study Hub
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 generalise and fluently use written multiplication strategies to calculate accurately with decimals.
Key Notes
- The factorising multiples of 10 strategy can be used.
- With multiplication it is important to consider the magnitude of the product.
- Similar calculations can be used to help reason about a product.
Vocabulary To Learn
- Factorising: Factorising means to express a term as the product of its factors.
Common Mistakes To Avoid
- When pupils multiply decimals, they use the column method and align the decimal points.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The factorising multiples of 10 strategy can be used. With multiplication it is important to consider the magnitude of the product.
2. Use this key word in a maths sentence and explain it clearly. 'Factorising'
Factorising means to express a term as the product of its factors. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When pupils multiply decimals, they use the column method and align the decimal points. Correction: If the column method is used, encourage integer multiplication and use of powers of 10 to adjust the answer to the original calculation.
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
- 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.