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Additive Inverses Exploration

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Additive Inverses Exploration

An additive inverse is the number that adds to a given number to make zero. Show your working where it helps.

Find the additive inverse

1.What is the additive inverse of 11?

2.Find the additive inverse of -14.

3.What number completes 4.6 + ___ = 0?

4.What number completes -0.35 + ___ = 0?

5.Which pair consists of additive inverses?

9 and -9
-6 and 8
3 and 3
-2 and -2

6.True or false: The additive inverse of zero is zero.

TrueFalse

7.On the number line, mark 6 and its additive inverse. What is the sum of the two marked numbers?

Additive inverses in context

8.At dawn, the temperature is -7°C. How many degrees must it rise to reach 0°C?

9.A bank account is $18 overdrawn, represented by -$18. A deposit of $18 is made. Write an addition equation and state the new balance.

10.A lift travels down 32 metres from the ground floor, then up 32 metres. Represent the movements with signed numbers and find its final position relative to where it started.

11.Which situation shows two equal and opposite changes that bring you back to your starting point?

Walk 12 metres north, then 12 metres south
Walk 12 metres north, then 8 metres south
Save $12, then spend $5
Climb 4 steps, then climb 4 more

Explain and apply

12.In your own words, describe what makes two numbers additive inverses. Include a numerical example.

13.Explain why zero is the result when a number and its additive inverse are added. Use -9 and its inverse in your explanation.

14.A diver is 4.5 metres below the water surface. They rise 4.5 metres. Write an addition equation for the movement and state the diver’s final position relative to the surface.

15.Find the missing number in ___ + (-2.75) = 0.