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Year 6

Explain how to use long multiplication to multiply two 2-digit numbers regrouping ones to tens

I can explain how to use long multiplication to multiply two 2-digit numbers regrouping ones to tens.

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Year 6

Explain how to use long multiplication to multiply two 2-digit numbers regrouping ones to tens

I can explain how to use long multiplication to multiply two 2-digit numbers regrouping ones to tens.

Download all resources
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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

Pupils forget to include regrouped values when multiplying.

Decide on a place and structure for regrouped values - they are included at the top of the algorithm in these lessons to avoid confusion with addition regrouping when partial products are summed. Ensure this is clearly modelled.

Continue to emphasise place value language when describing the long multiplication algorithm and have high expectations that pupils will do the same. This will promote understanding and provide a sense of magnitude when checking the product is sensible.
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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Starter quiz

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6 Questions

Q1.
Look at the grid model for 31 × 33 shown. 33 has been partitioned into…
An image in a quiz
32 and 9
30 and 30
Correct answer: 30 and 3
3 and 3
Q2.
Look at the part-part-whole model. The multiplication equation is:
An image in a quiz
35 × 7
35 × 72
Correct answer: 35 × 27
35 × 207
Q3.
Which of these part-part-whole models represents 552 × 17
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q4.
Calculate 245 × 3 = using short multiplication.
Correct Answer: 735
Q5.
Calculate 645 × 7 = using short multiplication.
Correct Answer: 4,515
Q6.
Class 6 at Oak Academy has 227 sheets of stickers. Each page has 5 stickers. How many stickers do they have altogether? stickers
Correct Answer: 1,135

Exit quiz

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6 Questions

Q1.
When using the long multiplication layout the __________ number usually goes at the top.
Correct answer: larger
smaller
Q2.
Look at the long multiplication layout below. What are the highlighted numbers in the box known as?
An image in a quiz
Quotients
Addends
Products
Correct answer: Partial products
Q3.
Look at the long multiplication. Complete it to calculate the product.
An image in a quiz
Correct Answer: 2,782
Q4.
Match the expressions to the correct amount of regrouping.
Correct Answer:11 × 13,No regrouping

No regrouping

Correct Answer:23 × 14,1 regroup from ones to tens

1 regroup from ones to tens

Q5.
Use long multiplication to calculate. A football match is selling tickets at £24 It sells 24 tickets on Monday. How much money was made on Monday? £
Correct Answer: 576
Q6.
Use long multiplication to calculate. A football match is selling tickets at £24 It sells 116 tickets on Monday. How much money was made altogether? £
Correct Answer: 2,784