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Adding and Subtracting Integers
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Adding and Subtracting Integers
Aotearoa’s winter sports festival uses positive and negative numbers to track temperatures, scores and heights. Solve each challenge. Show a calculation or explain your reasoning where asked.
Track the changes
Use the number lines to picture each journey.
1.A ski-lift sensor starts at −4 m and records an upward change of 9 m. What is its new reading? Use the number line to show the jump.
2.A snowboarder’s altitude reading changes from 3 m to −5 m. Calculate the change as a subtraction: −5 − 3 = .
3.Work out 6 − (−4). Choose the expression that is equivalent to this subtraction.
- 6 − 4
- 6 + 4
- −6 + 4
- −6 − 4
4.At dawn, the temperature is −3°C. It drops by 6°C before sunrise. What is the new temperature? Write an integer calculation and the answer with units.
Festival score challenge
The teams’ scores can go below zero when penalties exceed points earned.
5.A team has a score of −7 points. It earns 12 points, then receives a 9-point penalty. What is its final score? Show both steps.
6.Evaluate (−15) − (−8).
7.Fill each blank with <, > or =: −6 − 3 −6 + 3.
8.A hiker is at 18 m relative to a marked reference point. They descend 25 m, then climb 11 m. What is their final position relative to the reference point?
Explain and check
Use integer rules to solve the final puzzles.
9.True or false? Subtracting a negative integer always gives a smaller answer. Give one example to support your choice.
TrueFalse
10.Find the missing integer: ____ + (−9) = −14. Show how you checked your answer.
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