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Operations with negative numbers
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EasyQuestion 1
[2 marks]Calculate:
(a) -6 + 4
(b) -3 - 5
(c) -8 × 2
(d) -20 ÷ -4
Solution for Question 1
MediumQuestion 2
[3 marks]Calculate:
(a) -7 - (-3)
(b) (-4)²
(c) -5 × (-2) × (-3)
Solution for Question 2
HardQuestion 3
[4 marks]The temperature at midnight was -8°C. By 6am it had dropped by 5°C. By noon it had risen by 17°C. By 6pm it had dropped by 9°C.
(a) What was the temperature at 6pm?
(b) What was the total change in temperature from midnight to 6pm?
Solution for Question 3
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Operations with negative numbers follow specific rules that you must memorise. For addition and subtraction, think of movement on a number line: adding a positive moves right, adding a negative moves left, subtracting a positive moves left, and subtracting a negative moves right.
For multiplication and division, the sign rules are: same signs give a positive result, different signs give a negative result. So positive × positive = positive, negative × negative = positive, but positive × negative = negative.
A useful trick for subtraction: subtracting a negative is the same as adding a positive. So 5 - (-3) = 5 + 3 = 8. Think of it as "two negatives make a positive" but only when they're directly next to each other in this way.
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