Year 5 - Maths
Divide a 3-digit by a 1-digit number using partitioning and representations (no remainders)
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 divide a 3-digit by a 1-digit number using partitioning and representations (no remainders).
Key Notes
- Partitioning the dividend into hundreds, tens and ones helps when dividing a 3-digit by a 1-digit number.
- Use times tables and unitising to divide the hundreds, tens and ones by the divisor.
- Place value resources can represent the division.
Vocabulary To Learn
- Dividend: The dividend is the amount that you want to divide.
- Divisor: A divisor is the number we divide by.
- Partial quotient: A partial quotient is seen when the dividend is partitioned.
- Partition: Partition means splitting an object or value down into smaller parts.
- Quotient: A quotient is the result after division has taken place.
Common Mistakes To Avoid
- Lack of understanding of place value may lead to the rise of incorrect partial quotients.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Partitioning the dividend into hundreds, tens and ones helps when dividing a 3-digit by a 1-digit number. Use times tables and unitising to divide the hundreds, tens and ones by the divisor.
2. Use this key word in a maths sentence and explain it clearly. 'Dividend'
The dividend is the amount that you want to divide. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Lack of understanding of place value may lead to the rise of incorrect partial quotients. Correction: Encourage children to identify what each digit represents. If misconceptions persist - use place value counters to divide by skip counting.
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 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
- Use short division when the hundreds digit is smaller than the divisor Study Guide
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