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Integer Operations Practice
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Integer Operations Practice
Work through each question. Show your working where asked.
Integer Operations
1.Calculate −9 + 14.
2.Work out 7 − (−5).
3.Calculate (−8) × 4.
4.Evaluate (−42) ÷ (−6).
5.At 6 am, the temperature was 3°C. By midday it had fallen by 11°C. What was the temperature at midday?
6.A bank account has a balance of $32. A payment of $47 is taken from it. What is the new balance?
7.Which statement correctly describes the sign of the product when two negative integers are multiplied?
- The product is negative.
- The product is positive.
- The product is always zero.
- The sign cannot be determined.
Problem Solving
8.A diver is at sea level, represented by 0 m. She descends 38 m, rises 15 m, then descends a further 9 m. What is her final position relative to sea level?
9.Continue the integer pattern by filling in the three missing values: −18, −14, −10, __, __, __, 6.
10.Ari owes $34. Ari pays back $13, then borrows another $6. Represent the debt with integers and calculate how much Ari owes now.
11.Use rounding to estimate the result, then decide whether the stated answer is reasonable: −58 + 31 = −27.
Challenge
12.Apply the distributive property to evaluate −4 × (6 + (−9)).
13.Write an integer calculation using at least two operations that has a result of −15. Show one valid calculation.
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