Year 5 - Maths
Solve measures problems using knowledge of multiplying decimal fractions
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 use knowledge of multiplying decimal fractions by whole numbers to solve measures problems.
Key Notes
- Using knowledge of multiplying decimal numbers with whole numbers can help us solve measures problems.
- __ times __ ones is equal to __ ones, so __ times __ tenths/hundredths is equal to __ tenths/hundredths.' supports us.
- Unitising of known facts can be used to support calculating with decimal fractions.
- When we multiply by ten, the digits move one place value place to the left.
Vocabulary To Learn
- Convert: When we convert, we change a value or expression from one form to another.
Common Mistakes To Avoid
- Children may get confused when converting between units of measure and be unsure when they need to multiply or divide.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Using knowledge of multiplying decimal numbers with whole numbers can help us solve measures problems. __ times __ ones is equal to __ ones, so __ times __ tenths/hundredths is equal to __ tenths/hundredths.' supports us.
2. Use this key word in a maths sentence and explain it clearly. 'Convert'
When we convert, we change a value or expression from one form to another. 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 get confused when converting between units of measure and be unsure when they need to multiply or divide. Correction: ___ are smaller than ___, so there must be more of them in the same measure so we need to multiply (and vice versa).
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
- The relationship between multiplying by 0.01 and dividing by 100 Study Guide
- The relationship between multiplying by 0.1 and dividing by 10 Study Guide
Browse all guides in the Year 5 Maths guide library.