Year 5 - Maths
Divide a 2-digit by a 1-digit number using representations with exchanging and 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 can divide a 2-digit by a 1-digit number using representations with exchanging and remainders.
Key Notes
- Partitioning the dividend into tens and ones helps when dividing a 2-digit by a 1-digit number.
- If the dividend is not a multiple of the divisor, there will be a remainder.
- If the remainder is a number of tens, you can exchange the tens for ones and continue to divide.
- If the number of ones is not a multiple of the divisor, there will be a remainder as part of the quotient.
Vocabulary To Learn
- Remainder: A remainder is an amount left over after division.
- Regroup / regrouping: The process of unitising and exchanging between place values is known as regrouping.
Common Mistakes To Avoid
- Pupils may forget to record the remainder.
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 tens and ones helps when dividing a 2-digit by a 1-digit number. If the dividend is not a multiple of the divisor, there will be a remainder.
2. Use this key word in a maths sentence and explain it clearly. 'Remainder'
A remainder is an amount left over after division. 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 forget to record the remainder. Correction: Remind children that if the ones are not divisible there will be a remainder and that this is expressed as 'r'.
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 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
- Use short division when the hundreds digit is smaller than the divisor Study Guide
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