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Integer Number Line Exploration
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Integer Number Line Exploration
Use the number line where shown. For written questions, include enough working to explain your thinking.
Integers and their positions
1.Select every integer in this list: −11, 2.4, 0, 18, −5/8.
- −11
- 2.4
- 0
- 18
- −5/8
2.On a horizontal number line, which way do you travel from zero to reach positive integers?
- Left
- Right
- Up
- Down
3.What is the additive inverse of −13?
- 13
- −13
- 0
- 26
4.Choose the symbol that makes this statement true: −9 ___ −3
- >
- <
- =
Working with integers on a number line
5.Use the number line to work out −7 + 5. Show your jumps and write the starting number, the direction and number of steps, and the ending number.
6.At midday in Dunedin, the temperature was 6°C. It fell by 11°C before midnight. What was the temperature at midnight?
7.Fill each gap with the integer that makes the sum zero: (a) 12 + = 0; (b) −19 + = 0; (c) + 6 = 0.
8.Arrange these integers from least to greatest: 5, −4, 2, −10, 0.
Explain and apply
9.Explain why there is no final integer: how can you find another integer that is greater than any integer you choose?
10.A research submersible is at sea level, or 0 m. It descends 32 m, then rises 14 m. Write an integer addition statement and find its final position relative to sea level.
11.Write your own short situation involving a positive and a negative integer. Then solve it and show the movement on a number line.
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