Year 5 - Maths
Use short division when the hundreds digit is smaller than the divisor
Division by partitioning leading to short division (2 and 3-digits 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 divide a 2-digit and a 3-digit number by a single-digit number using partitioning and representations and divide a 2-digit number by a single-digit number by using short division.
Lesson Summary
You will learn to use short division when the hundreds digit is smaller than the divisor.
Key Notes
- If the hundreds digit is smaller than the divisor then it is exchanged for tens and included with the tens digit
- If the 100s digit is smaller than the divisor then no partial product is recorded above the 100s digit of the dividend
Vocabulary To Learn
- Dividend: What we are dividing.
- Divisor: What we are dividing by.
- Quotient: The result after division has taken place.
- Regroup / Regrouping: The process of unitising and exchanging between place values.
Common Mistakes To Avoid
- Pupils may confuse the terminology of dividend and divisor. Pupils may regroup the incorrect amount.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If the hundreds digit is smaller than the divisor then it is exchanged for tens and included with the tens digit. If the 100s digit is smaller than the divisor then no partial product is recorded above the 100s digit of the dividend.
2. Use this key word in a maths sentence and explain it clearly. 'Dividend'
What we are dividing. 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 confuse the terminology of dividend and divisor. Pupils may regroup the incorrect amount. Correction: Ensure pupils can identify the dividend and the divisor. Use language of unitisation to correct any place value misconceptions.
More Lessons In This Unit
- Divide a 2-digit by a 1-digit number using partitioning (with regrouping) Study Guide
- Divide a 2-digit by a 1-digit number using partitioning and representations (no remainders) Study Guide
- Divide a 2-digit by a 1-digit number using representations with exchanging and remainders Study Guide
- Divide a 2-digit by a 1-digit number using short division (no regrouping ) Study Guide
- Divide a 2-digit by a 1-digit number using short division (with regrouping) Study Guide
- Divide a 2-digit number using short division (with regrouping and remainders) Study Guide
- Divide a 3-digit by a 1-digit number using partitioning and representations (no remainders) Study Guide
- Divide a 3-digit by a 1-digit number using short division Study Guide
- Divide a 3-digit number using partitioning and representations (one regroup) Study Guide
- Divide using partitioning and representations (multiple regroups and remainder) Study Guide
- Divide using short division with regrouping and remainders Study Guide
- Solve problems involving multiplication and division Study Guide
- Solve problems involving multiplication and division in a range of contexts Study Guide
- Use efficient division strategies to solve problems Study Guide
Browse all guides in the Year 5 Maths guide library.