Year 5 - Maths
Use knowledge of place value to calculate with decimal numbers up to and bridging one tenth
Use knowledge of decimals to solve problems in different contexts: length
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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 use their knowledge of decimal place value to convert between and compare metres and centimetres explaining that different lengths can be composed additively and multiplicatively.
Lesson Summary
You will learn to use knowledge of place value to calculate with decimal numbers up to and bridging one tenth.
Key Notes
- 10 one hundredths is equal to one tenth or 0.1
- If 7 + 3 is equal to 10 then 7 hundredths + 3 hundredths is equal to 10 hundredths which is equal to one tenth 0.1
- Number facts and place value can be applied when adding hundredths which bridge one tenth.
Vocabulary To Learn
- Number fact: A simple calculation using two numbers.
- Bridge / bridging: A mental strategy which uses addition or subtraction to cross a number boundary.
Common Mistakes To Avoid
- Pupils use a known fact but add or subtract with different place values (e.g. 0.6 + 0.04 = 0.1).
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
10 one hundredths is equal to one tenth or 0.1. If 7 + 3 is equal to 10 then 7 hundredths + 3 hundredths is equal to 10 hundredths which is equal to one tenth 0.1.
2. Use this key word in a maths sentence and explain it clearly. 'Number fact'
A simple calculation using two numbers. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils use a known fact but add or subtract with different place values (e.g. 0.6 + 0.04 = 0.1). Correction: Unitise through the use of language to help identify this for pupils. For example: 6 hundredths plus 4 hundredths is equal to 10 hundredths.
More Lessons In This Unit
- Compare and order numbers with up to 3 decimal places Study Guide
- Explain that different lengths can be composed additively and multiplicatively Study Guide
- Read and write numbers with up to 3 decimal places Study Guide
- Round a decimal number with hundredths to the nearest tenth Study Guide
- Round a decimal number with hundredths to the nearest whole number Study Guide
- Solve problems with numbers with up to 3 decimal places Study Guide
- Use knowledge of column addition and subtraction to calculate with decimals: tenths and hundredths Study Guide
- Use knowledge of decimal place value to convert between and compare metres and centimetres Study Guide
- Use knowledge of decimal place value to solve problems in different contexts Study Guide
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