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How to work out division with remainders | Year 5 Mathematics PDF Download

Understanding Division with Remainders

  • When dividing numbers, sometimes there is a remaining amount left, which is known as the 'remainder'.
  • For instance, when dividing 7 by 2, you get 3 as the quotient and 1 as the remainder, written as 7 ÷ 2 = 3 r1.
  • In certain cases, you might need to round the result up or down to get a whole number.

How to work out division with remainders | Year 5 Mathematics

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What is the remainder when dividing 15 by 4?
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FAQs on How to work out division with remainders - Year 5 Mathematics

1. How do you work out division with remainders?
Ans. To work out division with remainders, you first divide the dividend by the divisor. The quotient is the whole number part of the division. The remainder is the amount left over after dividing as much as possible.
2. What is the significance of remainders in division?
Ans. Remainders in division show how many items are left over after dividing as much as possible. They are essential when dealing with real-life problems that involve sharing or grouping objects.
3. Can a remainder be greater than the divisor in division?
Ans. No, a remainder cannot be greater than the divisor in division. The remainder should always be less than the divisor, as it represents what is left over after dividing by the divisor.
4. How can remainders be represented in division problems?
Ans. Remainders in division problems are often represented using the notation "r" or "remainder." For example, in the division problem 17 ÷ 4 = 4 r 1, the remainder is 1.
5. How do you check if a division with remainder is correct?
Ans. To check if a division with remainder is correct, you can multiply the quotient by the divisor and add the remainder. The result should equal the dividend. This helps ensure that the division was done accurately.
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