Choose exam board for KS4 Computer Science (GCSE)
Choose exam board for KS4 English
Choose exam board for KS4 French
Choose exam board for KS4 Geography
Choose exam board for KS4 German
Choose exam board for KS4 History
Choose tier for KS4 Maths
Choose exam board for KS4 Music
Choose exam board for KS4 Physical education (GCSE)
Choose exam board for KS4 Religious education (GCSE)
Choose exam board for KS4 Spanish

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

      Lesson details

      Learning outcome

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

      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.

      Teacher tip

      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.

      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

      Loading...

      Prior knowledge starter quiz

      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

      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
      Correct Answer:23 × 14,1 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

      To help you plan your 6 maths lesson on: Explain how to use long multiplication to multiply two 2-digit numbers regrouping ones to tens, download all teaching resources for free and adapt to suit your pupils' needs...