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Lesson 4 of 15
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.
Lesson 4 of 15
New
New
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.
Lesson details
Key learning points
- Calculate the partial products.
- Add the partial products to recombine.
- 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 (2025), 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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Prior knowledge starter quiz
Download quiz pdf
6 Questions
Q1.Match the square numbers to the correct expression.
Match the square numbers to the correct expression.
1
9
25
49
81
Q2.Select the correct long multiplication layout for 43 × 27
Select the correct long multiplication layout for 43 × 27
A
Q3.Look at the long multiplication below, how many tens have been regrouped? tens
Look at the long multiplication below, how many tens have been regrouped? tens
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.
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
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
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
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
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
Assessment exit quiz
Download quiz pdf
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?
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
Q2.Select the correct long multiplication layout for 343 × 27
Select the correct long multiplication layout for 343 × 27
A
Q3.Complete the long multiplication algorithm to find the product of 162 and 32
Complete the long multiplication algorithm to find the product of 162 and 32
Q4.Look at the long multiplication below. How many tens have been regrouped? tens
Look at the long multiplication below. How many tens have been regrouped? tens
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?
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?
Q6.Sam shuffles some cards and arranges them into a long multiplication algorithm. Use this to calculate the product.
Sam shuffles some cards and arranges them into a long multiplication algorithm. Use this to calculate the product.
