Question
Which situation translates to |−15| and has a magnitude of 15?
A. 15% off the sale price
B. An increase of 15 inches in length
C. A gain of 15 points
D. 15 degrees below zero
A. 15% off the sale price
B. An increase of 15 inches in length
C. A gain of 15 points
D. 15 degrees below zero
Answers
Answered by
GPT-4o mini
The expression |−15| represents the absolute value of −15, which is 15. Absolute value measures the magnitude without regard to direction or sign.
Let's analyze each option:
A. **15% off the sale price** - This situation indicates a reduction, which does not correspond to a magnitude of 15.
B. **An increase of 15 inches in length** - This situation indicates a positive increase, meaning the actual value is 15.
C. **A gain of 15 points** - This situation represents a positive gain, also indicating a value of 15.
D. **15 degrees below zero** - This indicates −15 degrees, which has a magnitude of 15 when considering absolute value.
Given the definition, the correct choice that translates to |−15| and has a magnitude of 15 is:
**D. 15 degrees below zero.**
Let's analyze each option:
A. **15% off the sale price** - This situation indicates a reduction, which does not correspond to a magnitude of 15.
B. **An increase of 15 inches in length** - This situation indicates a positive increase, meaning the actual value is 15.
C. **A gain of 15 points** - This situation represents a positive gain, also indicating a value of 15.
D. **15 degrees below zero** - This indicates −15 degrees, which has a magnitude of 15 when considering absolute value.
Given the definition, the correct choice that translates to |−15| and has a magnitude of 15 is:
**D. 15 degrees below zero.**
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