Read this word problem.Overnight, the temperature in Mayville was −4∘F. But by the following afternoon, the temperature had risen 11∘F. What was the temperature in Mayville that afternoon?To solve the problem, Rose added −4+11 and came up with an answer of 7∘F. Is Rose correct? Why or why not?Choices:(A) Yes, Rose is correct.(B) No. The answer should have been −7∘F, not 7∘F, because a negative plus a positive is always a negative.(C) No. The answer should have been 15∘F, because the sum of the absolute values of −4 and 11 is 15.
Q. Read this word problem.Overnight, the temperature in Mayville was −4∘F. But by the following afternoon, the temperature had risen 11∘F. What was the temperature in Mayville that afternoon?To solve the problem, Rose added −4+11 and came up with an answer of 7∘F. Is Rose correct? Why or why not?Choices:(A) Yes, Rose is correct.(B) No. The answer should have been −7∘F, not 7∘F, because a negative plus a positive is always a negative.(C) No. The answer should have been 15∘F, because the sum of the absolute values of −4 and 11 is 15.
Rose's calculation: Rose's calculation: −4+11.
Adding the two numbers: Adding the two numbers: −4+11 equals 7.
Checking sign result: Checking if a negative plus a positive is always a negative: This is not true, the sign of the result depends on the magnitude of the numbers.
Determining correctness: Determining if Rose's answer of 7°F is correct: Since −4 increased by 11 results in 7, Rose is correct.
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