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Explain how to multiply a 3-digit number by a 2-digit number

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

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Lesson 1 of 15
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Explain how to multiply a 3-digit number by a 2-digit number

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

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These resources will be removed by end of Summer Term 2025.

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Lesson details

Key learning points

  1. Partition one of the factors.
  2. Calculate the partial products.
  3. Add the partial products to recombine.

Keywords

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

Common misconception

Children lack fluency and recall in multiplication tables and therefore lose the thread of longer multiplication strategies.

Providing multiplication grids and / or adapting questions to focus on known multiplication tables can support learners to focus on the steps of an algorithm.

This lesson uses Olympics and similar large-scale sport events as contexts for multiplication of larger integers. If adapting contexts, consider real-life contexts in which pupils will encounter 3-digit numbers and have reason to multiply these.
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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

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6 Questions

Q1.
Match the equation to its product.

Correct Answer:1.7 × 10 =,17

17

Correct Answer:12.7 × 10 =,127

127

Correct Answer:1.07 × 100 =,107

107

Correct Answer:1.77 × 100 =,177

177

Correct Answer:7.7 × 100 =,770

770

Q2.
What is $$7^2$$?

36
14
9
Correct answer: 49
56

Q3.
What is $$8^2$$?

4
9
16
49
Correct answer: 64

Q4.
Calculate the product using short multiplication 42 × 6 =

Correct Answer: 252

Q5.
Calculate the product short multiplication 223 × 5 =

Correct Answer: 1,115

Q6.
Sofia has £99 and Lucas has seven times this amount. How much money does Lucas have? £

Correct Answer: 693

Assessment exit quiz

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6 Questions

Q1.
Look at the grid model for 31 × 29 shown. 29 has been partitioned into …

An image in a quiz
2 and 9
20 and 90
Correct answer: 20 and 9
9 and 2

Q2.
Look at the part–part-whole model. The multiplication expression is:

An image in a quiz
45 × 9
45 × 90
45 × 91
Correct answer: 45 × 19

Q3.
Which of these part-part-whole models represents 315 × 12

Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz

Q4.
Which of these part-part-whole models represents 55 × 13

An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz

Q5.
Calculate 45 × 32 = Use a grid model to show your thinking.

Correct Answer: 1,440

Q6.
Calculate 145 × 33 = Use a grid model to show your thinking.

Correct Answer: 4,785

Lesson appears in

UnitMaths / Multiplying and dividing by 2-digit numbers

Maths

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