Year 5 - Maths
Read and write numbers with up to 3 decimal places
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 read and write numbers with up to 3 decimal places.
Key Notes
- There are 10 one thousandths in one hundredth.
- There are 100 one thousandths in one tenth.
- There are 1,000 one thousandths in one whole.
- Thousandths are recorded in the third decimal place so one thousandth is 0.001
Vocabulary To Learn
- Thousandth: One thousandth is one part in one thousand equal parts.
- One thousandth the size: When a whole is divided into one thousand equal parts, we can say one of those parts is one thousandth the size of the whole.
- Thousandths column: The thousandths column places the number of thousandths a given number has.
- Millimetre: A millimetre is a measure of length that can be abbreviated as mm.
Common Mistakes To Avoid
- Pupils record numbers like 29 thousandths incorrectly as 0.0029
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
There are 10 one thousandths in one hundredth. There are 100 one thousandths in one tenth.
2. Use this key word in a maths sentence and explain it clearly. 'Thousandth'
One thousandth is one part in one thousand equal parts. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils record numbers like 29 thousandths incorrectly as 0.0029. Correction: Continue to link representations of thousandths to the place value chart and use language of ten thousandths being equal to one hundredth.
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
- 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
- Use knowledge of place value to calculate with decimal numbers up to and bridging one tenth Study Guide
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