New
New
Year 6

Explain how to use long multiplication to multiply a 3-digit by a 2-digit number

I can explain how to use long multiplication to multiply a 3-digit by a 2-digit number.

New
New
Year 6

Explain how to use long multiplication to multiply a 3-digit by a 2-digit number

I can explain how to use long multiplication to multiply a 3-digit by a 2-digit number.

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Lesson details

Key learning points

  1. Calculate the partial products.
  2. Add the partial products to recombine.
  3. Regroup when numbers bridge 10, 100 or 1,000

Keywords

  • Partial product - Any of the multiplication results we get leading up to an overall multiplication result is a partial product.

  • Regroup - The process of unitising and exchanging between place values is known as regrouping.

Common misconception

Pupil automatically assume that the largest 3-digit factor will lead to the largest product.

Encourage pupils to think about the multiplicative structure of 'groups' of and consider e.g. whether 30 groups of 52 or 20 groups of 53 will be greater or smaller.

In Cycle 2 pupils consider greatest and smallest products using digit cards to generate factors. You may wish to scaffold this for some learners using smaller examples e.g. 2-digit multiplied by 1-digit and rearranging digits to see the effect to support reasoning.
Teacher tip

Equipment

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).

Lesson video

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6 Questions

Q1.
Match the square numbers to the correct expression.
Correct Answer:,1

1

Correct Answer:,9

9

Correct Answer:,25

25

Correct Answer:,49

49

Correct Answer:,81

81

Q2.
Select the correct long multiplication layout for 43 × 27
A
Correct answer: B
Q3.
Look at the long multiplication below, how many tens have been regrouped? tens
An image in a quiz
Correct Answer: 4
Q4.
Identify the expression needed to solve: In the Olympic gift shop, Sam and Andeep are organising t-shirts. Each display rack holds 29 t-shirts, and there are 37 display racks in the shop.
29 × 29
Correct answer: 29 × 37
37 × 37
29 + 37
Q5.
In the Olympic gift shop, Sam and Andeep are organising t-shirts. Each display rack holds 25 t-shirts and there are 39 display racks in the shop. How many t-shirts are there altogether? t-shirts
Correct Answer: 975
Q6.
There are 46 torch handlers for each leg of a relay. If there are 68 legs of the relay, how many torch handlers are involved in total? torch handlers
Correct Answer: 3,128

6 Questions

Q1.
Identify the expression needed to solve this problem: An event sells 427 tickets for £17 each. How much money do they make on these tickets?
427 + 17
427 ÷ 17
Correct answer: 427 × 17
Q2.
Select the correct long multiplication layout for 343 × 27
A
Correct answer: B
Q3.
Complete the long multiplication algorithm to find the product of 162 and 32
An image in a quiz
Correct Answer: 5,184
Q4.
Look at the long multiplication below. How many tens have been regrouped? tens
An image in a quiz
Correct Answer: 10
Q5.
There are 231 torch handlers for each leg of the relay. If there are 33 legs of the relay, how many torch handlers are involved in total?
Correct Answer: 7,623
Q6.
Sam shuffles some cards and arranges them into a long multiplication algorithm. Use this to calculate the product.
An image in a quiz
Correct Answer: 9,683

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