Year 6 - Maths
Use long division with decimal remainders
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 use long division and give the remainder as a decimal.
Key Notes
- Fraction and decimal equivalence can be used to convert fraction remainders to decimals.
- 1 one is equivalent to 10 tenths so a 1 can be exchanged for 10 tenths in the tenths column.
- Continue to regroup until the number of the decimal fraction is a multiple of the divisor.
Vocabulary To Learn
- Remainder: A remainder is an amount left after a division.
- Decimal: A decimal number has a decimal point followed by digits that show the fractional part.
- Equivalent: Equivalent refers to when two or more things have the same value.
Common Mistakes To Avoid
- Pupils do not convert fractions to decimals accurately.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Fraction and decimal equivalence can be used to convert fraction remainders to decimals. 1 one is equivalent to 10 tenths so a 1 can be exchanged for 10 tenths in the tenths column.
2. Use this key word in a maths sentence and explain it clearly. 'Remainder'
A remainder is an amount left after a 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 do not convert fractions to decimals accurately. Correction: Take time to remind pupils about key equivalences such as one-half is 0.5 and one-fifth is 0.2 Pupils can use these to check the reasonableness of their answers.
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
- Dividing numbers with up to 4 digits by multiples of 10 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 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.