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Subtracting Negative Numbers
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Subtracting Negative Numbers
Practise subtracting negative numbers, explaining the effect on a value, and showing a calculation on a number line. Remember: subtracting a negative is equivalent to adding a positive.
Choose and calculate
1.What is the value of 11 − (−4)?
- 7
- 15
- −15
- −7
2.Which expression has a value of 5?
- 2 − (−3)
- 2 − (−5)
- −2 − (−3)
- 5 − (−1)
3.Evaluate −9 − (−6).
- −15
- −3
- 3
- 15
Work with signed numbers
Rewrite each subtraction of a negative as an addition, then calculate.
4.Calculate 8 − (−7).
5.Calculate −6 − (−10).
6.Calculate 0 − (−12).
7.A lift is on level −3. It moves up by 8 levels. Write a subtraction expression for this change and find the level where it stops.
8.At dawn, the temperature is −5°C. It rises by 4°C. Write this change as a subtraction of a negative number and give the new temperature.
Show and explain
9.Start at −4 on the number line. Show the movement for −4 − (−6), then write the result.
10.Explain why subtracting a negative number is equivalent to adding a positive number. Use an example to support your explanation.
11.Create a short real-life word problem that can be represented by subtracting a negative number. Write the matching expression and solve it.
12.If x − (−y) = 3, and x = −5, what is y?
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