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Adding and Subtracting Integers

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Adding and Subtracting Integers

Use integer rules and number lines to solve each problem. Show your working where asked.

Integer Moves

1.Start at 4 on the number line and add −9. What number do you land on? Explain the direction and distance of your move.

2.Calculate −8 + 11.

3.Calculate −6 + 9.

4.Calculate 7 + (−12).

5.Calculate −4 − (−9).

6.When you add a negative integer to a number, which way do you move on a number line?

Left
Right

7.When you subtract a negative integer, which direction does the value change on a number line?

Left
Right

Integers in Everyday Situations

8.At dawn, the temperature in Dunedin was −3°C. It warmed by 10°C during the day. Write an integer calculation and find the new temperature.

9.A hill town was at 6°C in the evening. Overnight, its temperature fell by 14°C. Write an integer calculation and find the temperature in the morning.

10.Tane's account balance is −$18. She spends another $6 from the account. What is her new balance? Write an integer calculation.

11.Aisha owes $23. He pays back $8. How much does he still owe? Show this using integers.

12.Which situation is represented by −7 + 4?

A diver is 7 m below sea level and descends another 4 m.
A diver is 7 m below sea level and rises 4 m.
A diver is 7 m above sea level and descends 4 m.

Explain and Apply

13.In your own words, explain how to add a positive integer and a negative integer. Include what you do when their absolute values are different.

14.Complete: A number that may be positive, negative or zero is an .

15.Complete: Adding a negative number to a value makes the value on a number line.

16.Complete: Subtracting a negative number makes the value .

17.Complete: The of −12 is +12.

18.A research submersible starts at sea level. It descends 28 m, rises 11 m, then descends 17 m. Write one integer expression and calculate its final position relative to sea level.