Year 5 - Maths
Use knowledge of column addition and subtraction to calculate with decimals: tenths and hundredths
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 column addition and subtraction to calculate with decimals with tenths and hundredths.
Key Notes
- Numbers are recorded in columns with the same value digits in each column
- Identify if regrouping will occur
- If the value of a digit in the minuend is greater than the same digit in the subtrahend, you will need to regroup
- Make sure that any regrouped numbers are added in with others of the same value
Vocabulary To Learn
- Hundredth: The name we give to one part of one hundred equal parts.
- Tenth: The name we give to one part of ten equal parts.
- Regroup / regrouping: The process of unitising and exchanging between place values.
Common Mistakes To Avoid
- Where regroupings are required, pupils may not be concise in their jottings.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Numbers are recorded in columns with the same value digits in each column. Identify if regrouping will occur.
2. Use this key word in a maths sentence and explain it clearly. 'Hundredth'
The name we give to one part of one hundred 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: Where regroupings are required, pupils may not be concise in their jottings. Correction: Encourage pupils to articulate what each number represents in each calculation, demonstrating the calculations with place value counters.
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 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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