Year 5 - Maths
Multiply a 3-digit by a 1-digit number using partitioning
Multiplication by partitioning leading to short multiplication (3 by 1-digit)
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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 multiply a 3-digit number by a single-digit number using expanded and short multiplication.
Lesson Summary
You will learn to multiply a 3-digit by a 1-digit number using partitioning.
Key Notes
- 3-digit numbers can be partitioned into hundreds, tens and ones.
- Calculate partial products by finding the product for the hundreds, tens and ones.
- Addition can be used to calculate the overall product.
Vocabulary To Learn
- Partition: Splitting an object or value down into smaller parts.
- Partial product: Any of the multiplication results we get leading up to an overall multiplication result.
Common Mistakes To Avoid
- Pupils may partition numbers incorrectly and arrange grid model incorrectly.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
3-digit numbers can be partitioned into hundreds, tens and ones. Calculate partial products by finding the product for the hundreds, tens and ones.
2. Use this key word in a maths sentence and explain it clearly. 'Partition'
Splitting an object or value down into smaller 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 may partition numbers incorrectly and arrange grid model incorrectly. Correction: Clear teacher modelling, ask pupils 'what does this digit represent?'.
More Lessons In This Unit
Browse all guides in the Year 5 Maths guide library.