Year 5 - Maths
The relationship between multiplying by 0.1 and dividing by 10
Calculating with decimal fractions
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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 will explain the effect of multiplying and dividing a number by 10, 100 and 1,000 and use their knowledge of multiplying decimal fractions by whole numbers to solve measures problems.
Lesson Summary
You will learn to explain the relationship between multiplying by 0.1 and dividing by 10.
Key Notes
- 0.1 can be represented as the fraction 1/10
- Multiplying by 0.1 is the same as multiplying by 1/10
- Multiplying by 1/10 is the same as dividing by 10
- Multiplying by 0.1 is the same as dividing by 10
Vocabulary To Learn
- Unit fraction: A unit fraction is any fraction with a numerator of one.
- Tenth: A tenth is one part in ten equal parts.
Common Mistakes To Avoid
- Children may struggle to make the connection between multiplying by 0.1 and dividing by ten.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
0.1 can be represented as the fraction 1/10. Multiplying by 0.1 is the same as multiplying by 1/10.
2. Use this key word in a maths sentence and explain it clearly. 'Unit fraction'
A unit fraction is any fraction with a numerator of one. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Children may struggle to make the connection between multiplying by 0.1 and dividing by ten. Correction: When we multiply by 0.1, it is the same as multiplying by one-tenth. When we multiply by a unit fraction, we can divide by the denominator - in this case, 10.
More Lessons In This Unit
- Converting units of length Study Guide
- Converting units of mass and capacity Study Guide
- Divide decimal fractions by 1-digit numbers Study Guide
- Divide decimal fractions by 1-digit numbers using written methods Study Guide
- Explain how to multiply and divide a number by 10, 100 and 1,000 Study Guide
- Multiply 1-digit numbers by decimal fractions using written methods Study Guide
- Multiply 1-digit numbers by decimals Study Guide
- Multiply hundredths by whole numbers Study Guide
- Multiply tenths by whole numbers Study Guide
- Multiplying and dividing a number by 10, 100 and 1,000 Study Guide
- Multiplying and dividing a number by 10, 100 and 1,000 including bridging 1 Study Guide
- Predicting the size of a product Study Guide
- Solve measures problems using knowledge of multiplying decimal fractions Study Guide
- The relationship between multiplying by 0.01 and dividing by 100 Study Guide
Browse all guides in the Year 5 Maths guide library.