Year 7 - Maths
Simplifying multiplication and division using multiples of 10
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 factorise multiples of 10^n in order to simplify multiplication and division of both integers and decimals.
Key Notes
- Factorising multiples of 10 can scale the calculation to easier values.
- It is important to consider place value so answers are scaled back correctly when multiplying.
- Factorising multiples of 10 is one of the multiplication and division strategies.
Vocabulary To Learn
- Product: A product is the result of two or more numbers multiplied together.
- Partitioning: Partitioning is the act of splitting an object or value down into smaller parts.
Common Mistakes To Avoid
- That 0.0004 is one thousand times smaller than 4 as there are three zeros after the decimal point.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Factorising multiples of 10 can scale the calculation to easier values. It is important to consider place value so answers are scaled back correctly when multiplying.
2. Use this key word in a maths sentence and explain it clearly. 'Product'
A product is the result of two or more numbers multiplied together. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: That 0.0004 is one thousand times smaller than 4 as there are three zeros after the decimal point. Correction: The use of a place value or Gattegno chart is invaluable here to highlight this misconception . The 4 is in the 10 thousandths column.
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
- 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
- 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.