# Negative scale factors

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## Lesson details

### Key learning points

- In this lesson, we will learn about negative scale factors and explore the commutativity of multiplication.

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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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### 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

### 7 Questions

Q1.

Which set of words fill in the gaps in order best? Multiplication by a negative _____________ can be visualised as a _________ in the _____________ direction.

scalar, swing, other

scale factor, stretch, positive right

scales, pull, opposite

Q2.

Select the calculation that the red arrow represents in relation to the given arrow of 5 and state the scale factor

(-3) x 5 = -15 s.f: -5

3 x 5 = 15 s.f: 3

3 x 5 = 15 s.f: 5

Q3.

Which number completes the calculation: ____ x 7 = -21

-28

28

3

Q4.

Which number completes the calculation: (-5) x 2 = (-30) + ____

-10

-20

10

Q5.

Calculate 7 x (-2)

-9

14

5

9

Q6.

Calculate 7 x (-1/2)

-14

14

3.5

Q7.

2 + (-4) x 3 =

-18

-24

-6