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Read this word problem. $\newline$ Overnight, the temperature in Mayville was $-4 \, ^{\circ}\mathrm{F}$ . But by the following afternoon, the temperature had risen $11 \, ^{\circ}\mathrm{F}$ . What was the temperature in Mayville that afternoon? $\newline$ To solve the problem, Rose added $-4 + 11$ and came up with an answer of $7 \, ^{\circ}\mathrm{F}$ . Is Rose correct? Why or why not? $\newline$ Choices: $\newline$ (A) Yes, Rose is correct. $\newline$ (B) No. The answer should have been $-7 \, ^{\circ}\mathrm{F}$ , not $7 \, ^{\circ}\mathrm{F}$ , because a negative plus a positive is always a negative. $\newline$ (C) No. The answer should have been $15 \, ^{\circ}\mathrm{F}$ , because the sum of the absolute values of $-4$ and $11$ is $15$ .

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Add and subtract integers: word problems

Full solution

Q. Read this word problem.

\newline

Overnight, the temperature in Mayville was

-4 \, ^{\circ}\mathrm{F}

. But by the following afternoon, the temperature had risen

11 \, ^{\circ}\mathrm{F}

. What was the temperature in Mayville that afternoon?

\newline

To solve the problem, Rose added

-4 + 11

and came up with an answer of

7 \, ^{\circ}\mathrm{F}

. Is Rose correct? Why or why not?

\newline

Choices:

\newline

(A) Yes, Rose is correct.

\newline

(B) No. The answer should have been

-7 \, ^{\circ}\mathrm{F}

, not

7 \, ^{\circ}\mathrm{F}

, because a negative plus a positive is always a negative.

\newline

(C) No. The answer should have been

15 \, ^{\circ}\mathrm{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 $7 \,\text{°F}$ is correct: Since $-4$ increased by $11$ results in $7$ , Rose is correct.

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