# Multiplication as scaling

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## Lesson details

### Key learning points

- In this lesson, we will explore multiplication involving at least one positive number and learn how it is possible to visualise multiplication as a stretch by a scale factor.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

Which word best completes the gap: -14 and 14 are additive inverses as they sum to ____

negative

subtraction

the same thing

twenty eight

Q2.

Which words (in order) best complete this sentence: __________________________ can be viewed as the ________________________ of the additive inverse.

Addition, addition

Subtraction, subtraction

Q3.

Complete the gap: -3 - (-5) = (-3) + _____

-1

-5

-8

2

Q4.

Which calculation gives the smallest answer?

-9-(-12)

9 - (-12)

9- 12

Q5.

Which calculation gives the largest answer?

-9-(-12)

(-9)-12

9- 12

### 8 Questions

Q1.

Fill in the gap: Multiplication when viewed as scaling can be thought of as a ___________.

multiplication

scale factor

scaling

Q2.

Fill in the gap: Looking at the diagram below we can use a ___________ to describe how much the number was scaled by.

multiplication

scaling

stretch

Q3.

Fill in the gap: In the diagram below the top arrow can be visualised as stretching -10 by a scale factor of_____.

-10

-3

-30

Q4.

Calculate the following product: 9 x (-12)

-112

108

92

Q5.

Calculate the following product: 0.5 x (-12)

-24

24

6

Q6.

Which calculation best represents the unlabelled arrow?

2 x (-5) = -10

4 x (-5) = -20

6 x (-5) = -30

Q7.

Which calculation best represents the unlabelled arrow.

1 x (-5) = -5

3 x (-5) = -15

None of the above

Q8.

Calculate: 3 x (-2) + 7 x (-3) - (-27)

-15

-30

27