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Negative Number Operations
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Negative Number Operations
Calculate carefully. Show working for the word problems and challenge question.
Core operations
1.Calculate: (a) (−9) + (−6) (b) (−13) + 8 (c) 5 − (−7) (d) (−4) − (−11).
2.Work out each product or quotient: (a) (−6) × (−5) (b) 9 × (−7) (c) (−36) ÷ (−4) (d) 42 ÷ (−6).
3.Choose the statement that is always true when multiplying two negative integers.
- The product is negative.
- The product is positive.
- The product is zero.
- The product depends on which integer has the greater absolute value.
Negative numbers in context
4.At 7 a.m. in Dunedin, the temperature was −6°C. It rose by 9°C before midday, then fell by 3°C during the afternoon. What was the temperature after the afternoon drop?
5.A bank account balance is −$28. A fee of $7 is charged three times, with no deposits made. What is the new balance?
6.Explain why subtracting a negative integer has the same effect as adding a positive integer. Include a numerical example.
Patterns and challenge
7.Continue the pattern by filling the two gaps: 15, 9, 3, , , −15.
8.Evaluate (−3) × 4 + (−18) ÷ (−6) − (−2). Apply the order of operations.
9.A remotely operated vehicle is at 0 metres (sea level). It descends 18 metres, descends another 11 metres, then rises 14 metres. What is its final position relative to sea level?
2 printable pages
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