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).

## Starter quiz

### 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.
14 and 42
182 and 42
26 and 7
Q3.
There are ___ instances of regrouping.
0
1
3
Q4.
True or false: 2 tens have been regrouped from the ones to the tens.
True
Q5.
Find the missing number.
Q6.
Find the missing number.

## Exit quiz

### 6 Questions

Q1.
Match the factor pair to the correct product.

9

28

49

72

27

Q2.
Find the missing partial product in this expanded multiplication.
Correct Answer: 240, two hundred and forty
Q3.
Look at Andeep's calculation. How many times did he regroup?
0 regroup
1 regroup
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.