New
New
Year 6

Explain how to use long multiplication to multiply a 4-digit by a 2-digit number

I can explain how to use long multiplication to multiply a 4-digit by a 2-digit number.

New
New
Year 6

Explain how to use long multiplication to multiply a 4-digit by a 2-digit number

I can explain how to use long multiplication to multiply a 4-digit by a 2-digit number.

Lesson details

Key learning points

  1. Calculate the partial products.
  2. Add the partial products to recombine.
  3. Regroup when numbers bridge 10, 100, 1,000, 10,000

Common misconception

Pupils find it challenging to keep track of multiple regroupings in the long multiplication layout and therefore forget to add these to partial products.

Estimation can support checking of magnitude. Discuss and agree on a position for regrouped values and continuously model noting and using these.

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.

Developing a sense of magnitude with learners is a key way in which to support them to check the accuracy of their answers.
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).

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6 Questions

Q1.
Match the multiplication expressions to their products.
Correct Answer:2 × 0.1,0.2

0.2

Correct Answer:0.2 × 10,2

2

Correct Answer:12 × 10,120

120

Correct Answer:120 × 10,1,200

1,200

Q2.
What is 6,000 × 9 =
Correct Answer: 54,000
Q3.
What is 700 × 60 =
Correct Answer: 42,000
Q4.
Complete the long multiplication algorithm to find the product.
An image in a quiz
Correct Answer: 9,303
Q5.
Sam shuffles some cards and arranges them as long multiplication. Use this to calculate the product.
An image in a quiz
Correct Answer: 4,828
Q6.
Sam shuffles some cards and arranges them as long multiplication. Use this to calculate the product.
An image in a quiz
Correct Answer: 14,202

6 Questions

Q1.
Look at the long multiplication below. The highlighted number is known as the .
An image in a quiz
Correct Answer: product
Q2.
Complete the long multiplication to find the product.
An image in a quiz
Correct Answer: 90,712
Q3.
The Olympic stadium sells tickets for various events. Each event has 3,145 tickets available, and there are 23 events. How many tickets are sold in total? {{ } tickets
Correct Answer: 72,335
Q4.
Each of the 3,414 athletes will receive 22 bottles. How many water bottles are needed in total? bottles
Correct Answer: 75,108
Q5.
What is the missing digit in the long multiplication?
An image in a quiz
Correct Answer: 5
Q6.
What is the missing digit in the long multiplication?
An image in a quiz
Correct Answer: 3