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Year 6

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

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

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Year 6

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

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

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Share activities with pupils
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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 or 100

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

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.

In Cycle B, a game of bingo is introduced. This allows for deliberate practice of the strategies included in the lesson. Consider how this activity may be best carried out in your class.
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 equation 45 × 23 = 1,035 45 and 23 are both __________.
addends
quotients
Correct answer: factors
products
Q2.
Use known facts to match the expression to its product.
Correct Answer:30 × 6 ,180

180

Correct Answer:70 × 9,630

630

Correct Answer:5 × 50 ,250

250

Correct Answer:12 × 70,840

840

Q3.
Look at the long multiplication below. How many tens have been regrouped? ten(s) has been regrouped.
An image in a quiz
Correct Answer: 1, one
Q4.
Look at the long multiplication below. Calculate the missing partial product.
An image in a quiz
Correct Answer: 636
Q5.
Use long multiplication to calculate. A football match is selling tickets at £35 It sells 22 tickets on Tuesday. How much money was made altogether? £
Correct Answer: 770
Q6.
Use long multiplication to calculate. A concert is selling tickets at £37 each. It sells 114 tickets on Thursday. How much money was made altogether? £
Correct Answer: 4,218

Exit quiz

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6 Questions

Q1.
Select the correct long multiplication layout for 43 × 27
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q2.
Look at the equation 145 × 23 = 3,335 145 and 23 are both __________.
addends
quotients
Correct answer: factors
products
Q3.
Look at the long multiplication below. The number circled is known as a partial .
An image in a quiz
Correct Answer: product
Q4.
T-shirts are displayed on racks. Each display rack holds 45 t-shirts, and there are 34 display racks in the shop. Which equation represents this?
Correct answer: 45 × 34 =
45 × 45 =
34 × 34 =
Q5.
T-shirts are displayed on racks. Each display rack holds 45 t-shirts, and there are 34 display racks in the shop. How many t-shirts are there? t-shirts
Correct Answer: 1,530
Q6.
There are 86 volunteers involved in each leg of the Olympic torch relay. If there are 48 legs of the relay, how many volunteers are involved in total?
Correct Answer: 4,128

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