As part of an advanced ranger training camp, Emek and Tara completed a circuit of navigation stations across rugged terrain. Each station required evaluating operations with positive and negative integers to track changing elevations, temperatures, and distances before moving to the next checkpoint. At the final review, they compared every calculated result with the course clues and discovered that one recorded value did not match the correct integer operation. After identifying and correcting the error, they confirmed the entire route was accurate. Their careful verification earned them top marks and completed the training challenge successfully.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Add a positive number to a negative number by finding the difference of their absolute values.
During the final review, one station recorded (-9) + 4 = 13. Which value should replace the incorrect result?
-1313-55Correct! (-9) + 4 = -5, so the recorded value was incorrect.
Check the signs and recalculate the sum carefully.
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Hint
Subtracting a negative number is the same as adding its opposite.
Another station required evaluating (-15) - (-8). What integer should Emek and Tara record?
Correct! The result is -7.
Rewrite the subtraction as addition before calculating.
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Hint
Think about the sign when multiplying two negative numbers.
A trainee claims that (-6) × (-4) = -24. What is the best response?
The trainee is correct because multiplying always keeps the negative sign.The trainee is correct because 6 × 4 = 24.The trainee is incorrect because the product should be 24.The trainee is incorrect because the product should be -10.Correct! Two negative factors multiply to a positive product, so the answer is 24.
Review the sign rule for multiplying integers.
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