Year 6 - Maths
Dividing numbers with up to 4 digits by multiples of 10
Multiplying and dividing by 2-digit numbers
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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 extend their understanding of formal calculation strategies to multiply and divide by 2-digit numbers, explaining when other strategies are more efficient.
Lesson Summary
You will learn to divide numbers with up to 4 digits by multiples of 10.
Key Notes
- If the dividend and divisor are both scaled by the same amount, the quotient will remain the same.
- If you divide the dividend and the divisor by 10, the quotient will remain the same.
- Skip counting in multiples of the divisor can help you solve problems.
Vocabulary To Learn
- Dividend: The dividend is the amount that you want to divide.
- Divisor: A divisor is the number we divide by.
- Multiple: A multiple is the result of multiplying a number by another whole number.
- Quotient: A quotient is the result after division has taken place.
Common Mistakes To Avoid
- Pupils may make mistakes converting from km into m or kg in g.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If the dividend and divisor are both scaled by the same amount, the quotient will remain the same. If you divide the dividend and the divisor by 10, the quotient will remain the same.
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: Pupils may make mistakes converting from km into m or kg in g. Correction: Pupils may need supporting converting units and multiplying by one thousand. Place value charts may be needed here.
More Lessons In This Unit
- Dividing by a 2-digit divisor including using long division Study Guide
- Dividing by a 2-digit divisor with a remainder Study Guide
- Explain how to multiply a 3-digit number by a 2-digit number Study Guide
- Explain how to use long multiplication to multiply a 3-digit by a 2-digit number Study Guide
- Explain how to use long multiplication to multiply a 4-digit by a 2-digit number Study Guide
- Explain how to use long multiplication to multiply two 2-digit numbers regrouping ones to tens Study Guide
- Explain how to use long multiplication to multiply two 2-digit numbers with regrouping Study Guide
- Explain how to use the associative law to multiply efficiently Study Guide
- Explain when it is efficient to use factorising or long multiplication to multiply by 2-digits Study Guide
- Solve problems involving remainders in context Study Guide
- Solve problems with 4-digit dividends using factors and long division Study Guide
- Use long division with decimal remainders Study Guide
- Use long division with fraction remainders Study Guide
- Using short and long division to divide by a 2-digit divisor Study Guide
Browse all guides in the Year 6 Maths guide library.