Year 5 - Maths
Explain that decimal numbers with tenths can be composed multiplicatively
Compose and calculate with decimals including column addition and subtraction
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Study Guides
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 extend their understanding of formal calculation strategies to use column methods to add and subtract with decimal numbers.
Lesson Summary
You will learn to explain that decimal numbers with tenths can be represented as multiplication.
Key Notes
- A number of tenths can be represented as repeated addition and multiplication.
- Decimal numbers (tenths) greater than 1 can be represented as a multiplication equation with 0.1 as a factor.
- Decimal numbers (tenths) greater than one can be written as an improper fraction of tenths.
Vocabulary To Learn
- Decimal number: A decimal number has a decimal point followed by digits that show the fractional part.
- Equation: An equation is used to show that one number, calculation or expression is equal to another.
- Factor: Factors are numbers which divide exactly into another number.
- Product: The product is the result of two or more numbers multiplied together.
Common Mistakes To Avoid
- Pupils write equations involving both addition and multiplication incorrectly.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A number of tenths can be represented as repeated addition and multiplication. Decimal numbers (tenths) greater than 1 can be represented as a multiplication equation with 0.1 as a factor.
2. Use this key word in a maths sentence and explain it clearly. 'Decimal number'
A decimal number has a decimal point followed by digits that show the fractional part. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils write equations involving both addition and multiplication incorrectly. Correction: Encourage pupils to match their equation to an image provided and be clear about where the numbers in their equation come from.
More Lessons In This Unit
- Explain that decimal numbers with tenths can be composed additively Study Guide
- Use knowledge of column addition and subtraction to calculate with decimal numbers Study Guide
- Use known facts and mental strategies to calculate with decimal numbers within and across a whole Study Guide
- Use representations to round a decimal number with tenths to the nearest whole number Study Guide
Browse all guides in the Year 5 Maths guide library.