New
New
Year 5

Multiply a 3-digit by a 1-digit number with multiple regroups

I can multiply a 3-digit by a 1-digit number using expanded and short multiplication (multiple regroups).

New
New
Year 5

Multiply a 3-digit by a 1-digit number with multiple regroups

I can multiply a 3-digit by a 1-digit number using expanded and short multiplication (multiple regroups).

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Lesson details

Key learning points

  1. If the product of the ones digits is greater than 10 then you regroup ten ones into one ten.
  2. If the product of the 1-digit number and the tens digit is greater than 100 then you regroup ten 10s into one 100
  3. If the product of the 1-digit number and the 100s digit is greater than 1,000 then you regroup ten 100s into one 1,000

Common misconception

Incorrectly regrouping or forgetting to record a regrouped amount.

Clear teacher modelling. 'What does this digit represent?' 'Where do we place the regrouped amount?'

Keywords

  • Short multiplication - A way of recording using columns to set out and calculate a multiplication.

  • Expanded multiplication - A way of recording the steps of a calculation focusing on partitioning one or more factors and showing partial products.

  • Regroup - The process of unitising and exchanging between place values is known as regrouping.

Use base ten blocks to expose the structure of regrouping.
Teacher tip

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).

Video

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6 Questions

Q1.
Order the multiplication equations in ascending order.
1 - 7 × 8
2 - 6 × 7
3 - 7 × 4
4 - 3 × 8
5 - 9 × 0
Q2.
___ and ___ are the partial products in this expanded multiplication.
An image in a quiz
14 and 42
Correct answer: 42 and 140
182 and 42
26 and 7
Q3.
There are ___ instances of regrouping.
An image in a quiz
0
1
Correct answer: 2
3
Q4.
True or false: 2 tens have been regrouped from the ones to the tens.
An image in a quiz
True
Correct answer: False
Q5.
Find the missing number.
An image in a quiz
Correct Answer: 3, three, Three
Q6.
Find the missing number.
An image in a quiz
Correct Answer: 6, six, Six

6 Questions

Q1.
Match the factor pair to the correct product.
Correct Answer:3 × 3 ,9

9

Correct Answer:4 × 7 ,28

28

Correct Answer:7 × 7,49

49

Correct Answer:8 × 9,72

72

Correct Answer:9 × 3,27

27

Q2.
Find the missing partial product in this expanded multiplication.
An image in a quiz
Correct Answer: 240, two hundred and forty
Q3.
Look at Andeep's calculation. How many times did he regroup?
An image in a quiz
0 regroup
1 regroup
Correct answer: 2 regroups
3 regroups
Q4.
Match the equation to the correct partial product expression.
Correct Answer:3 × 203,600 + 9

600 + 9

Correct Answer:216 × 3,600 + 30 + 18

600 + 30 + 18

Correct Answer:5 × 203,1000 + 15

1000 + 15

Correct Answer:216 × 5,1000 + 50 + 30

1000 + 50 + 30

Q5.
Use short or expanded to solve: 487 × 6 Write the answer in numeral form.
Correct Answer: 2922, 2,922
Q6.
Look at the image. How many cakes did Jacob bake?
An image in a quiz
Correct Answer: 3,192, 3192