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Integer Number Line Operations

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Integer Number Line Operations

Use the number lines to show integer movements. Include units in answers where needed.

Locate integers

1.On the number line, mark −8, −3, 0, 2 and 6.

2.Begin at −7 and move 5 units to the right. Which integer do you reach?

3.At sunrise in Dunedin, the temperature was −4°C. It warmed by 9°C during the morning. What was the temperature then?

5°C
−13°C
13°C
−5°C

Add and subtract on a number line

4.Use the number line to work out −5 + 8. State the starting integer, direction and number of steps, then give the result.

5.Evaluate 7 + (−10).

6.Aki’s account balance is −$18. A payment of $32 is added to the account. What is the new balance?

7.Which operations move to the left on a number line? Select all that apply.

Adding a positive integer
Adding a negative integer
Subtracting a positive integer
Subtracting a negative integer

Explain and solve problems

8.Work out −9 − (−4). Show the movement on the number line and explain why you move in that direction.

9.A research submersible is 12 metres below sea level. It descends a further 17 metres. Write an integer calculation and state its new depth relative to sea level.