New
New
Year 5

# Multiply a 3-digit by a 1-digit number with no regroups

I can multiply a 3-digit by a 1-digit number using expanded and short multiplication (no regroups).

New
New
Year 5

# Multiply a 3-digit by a 1-digit number with no regroups

I can multiply a 3-digit by a 1-digit number using expanded and short multiplication (no regroups).

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## Lesson details

### Key learning points

1. Expanded multiplication of a 3-digit by a 1-digit number will give three numbers to add to calculate the overall product
2. Short multiplication builds the overall product from the ones column to the hundreds with no regrouping.
3. The partial products can be seen in the expanded and short multiplication strategies.

### Common misconception

Misalignment of digits when setting out short multiplication.

Clear teacher modelling, ask pupils 'what does this digit represent?' Return to expanded layout briefly, before re-doing the problem.

### Keywords

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

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

• Factors - Numbers we can multiply together to get another number.

Model using base 10 blocks to represent the structure. Encourage pupils to think about using an efficient strategy.
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.
What is the next number in the sequence? 77, 70, 63,
60
57
55
Q2.
Order the multiplication equations in descending order.
1 - 8 × 11
2 - 11 × 6
3 - 9 × 7
4 - 7 × 8
5 - 11 × 0
Q3.
Select the correct expanded arrangement for 44 × 8
Pic 2
Pic 3
Q4.
Select the correct short multiplication based on this arrangement.
32 × 2
22 × 3
23 × 0
Q5.
Use expanded or short multiplication to solve: 33 × 3
Correct Answer: 99, ninety nine, ninety-nine, Ninety-nine
Q6.
Find the missing number.

## Exit quiz

### 6 Questions

Q1.
Select the correct factor pair for 48
48 × 0
4 × 11
47 + 1
Q2.
Select the correct expanded multiplication for this base ten block representation.
Correct Answer: An image in a quiz
Q3.
Select the correct short multiplication for: 321 × 3
Correct Answer: An image in a quiz
Q4.
Use expanded method to solve 212 × 4
Correct Answer: 848, Eight hundred and forty eight, eight hundred and forty eight
Q5.
Use short multiplication to solve 323 × 3
Correct Answer: 969, nine hundred and sixty nine, nine hundred and sixty-nine
Q6.
Solve the worded problem using expanded or short: if all these boxes are the same height, how tall is the stack of boxes?
Correct Answer: 906cm, 906 cm, nine hundred and six cm, 906