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Year 5

Use short division when the hundreds digit is smaller than the divisor

I can use short division when the hundreds digit is smaller than the divisor.

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Share activities with pupils
New
New
Year 5

Use short division when the hundreds digit is smaller than the divisor

I can use short division when the hundreds digit is smaller than the divisor.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. If the hundreds digit is smaller than the divisor then it is exchanged for tens and included with the tens digit
  2. If the 100s digit is smaller than the divisor then no partial product is recorded above the 100s digit of the dividend

Common misconception

Pupils may confuse the terminology of dividend and divisor. Pupils may regroup the incorrect amount.

Ensure pupils can identify the dividend and the divisor. Use language of unitisation to correct any place value misconceptions.

Keywords

  • Dividend - What we are dividing.

  • Divisor - What we are dividing by.

  • Quotient - The result after division has taken place. It is the whole number part.

  • Regroup / Regrouping - The process of unitising and exchanging between place values.

A quick recap / game of the inequalities signs will be helpful. In doing so, pupils will understand that if the divisor is greater than the 100s digit in the dividend, this will result in a 2-digit quotient.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Video

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Starter quiz

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6 Questions

Q1.
2 is the __________.
An image in a quiz
product
dividend
Correct answer: divisor
quotient
Q2.
Select the statements that are true.
6 × 3 > 3 × 6
11 × 1 < 11 × 0
Correct answer: 20 × 1 = 1 × 20
Correct answer: 13 × 0 < 1 × 13
Correct answer: 4 × 1 < 4 × 11
Q3.
30 tens can be regrouped as hundreds.
Correct Answer: 3
Q4.
Look at the short division. You can make groups of 3 ones from the 15 ones in the dividend.
An image in a quiz
Correct Answer: 5, five
Q5.
Which calculations will require two or more instances of regrouping?
An image in a quiz
A
B
Correct answer: C
Q6.
Use short division to solve this problem: Izzy is packing 371 t-shirts to sell at a funfair. She packs them equally into three large boxes. How many T-shirts will be in each box?
Correct Answer: 123, 123r2, 123 r2, 123 r 2

Exit quiz

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6 Questions

Q1.
Identify the multiples of 3.
Correct answer: 3
Correct answer: 9
Correct answer: 15
16
Correct answer: 21
Q2.
6 hundreds can be regrouped for ___ tens.
An image in a quiz
6
Correct answer: 60
66
600
Q3.
If you were to divide the number by 9, which of these would require regrouping?
900
Correct answer: 800
909
Q4.
Choose the correct short division for this equation: 325 ÷ 5.
An image in a quiz
A
B
Correct answer: C
Q5.
Use short division to calculate 764 ÷ 8 = . Write your answer in numeral form, using r if there is a remainder.
Correct Answer: 95 r 1, 95r1, 95 r1, 95r 1
Q6.
Look at the short division, what is the missing number?
An image in a quiz
Correct Answer: 6