While exploring a remote valley, Emek and Tara discovered an abandoned campsite with an explorer's weathered journal. Inside, each clue described changes in elevation and temperature using positive and negative integers, but the journal did not always require the same operation. At every station, they first decided whether to add, subtract, multiply, or divide the signed numbers before calculating the result. They checked each answer against the next clue to be sure their reasoning was correct. Their careful choices led them to the hidden emergency supply cache just before nightfall, allowing them to continue their expedition safely.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
An increase means add the change to the starting temperature.
One journal clue says the temperature changed from -6°C by increasing 9°C. Which operation should Emek and Tara use, and what is the result?
Subtract: -6 - 9 = -15Add: -6 + 9 = 3Multiply: -6 × 9 = -54Divide: -6 ÷ 9 = 0Correct! An increase of 9°C means add 9, giving -6 + 9 = 3.
Think about whether the temperature is increasing or decreasing before choosing the operation.
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Hint
Divide the negative number by the positive number.
Another clue says the elevation is -24 meters and is divided equally into 6 sections. What integer represents the elevation change for each section?
Correct! Each section represents -4 meters.
Remember that a negative divided by a positive is negative.
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Hint
A drop means the elevation becomes lower.
A journal clue says, "The elevation is -8 meters. It drops another 5 meters." Which calculation correctly finds the new elevation?
-8 + 5 = -3-8 - 5 = -13-8 × 5 = -40-8 ÷ 5 = -1.6Correct! Dropping 5 meters from -8 meters gives -13 meters.
Consider whether the elevation is increasing or decreasing before choosing the operation.
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