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Read this word problem. $\newline$ The afternoon temperature in Biscoff Bay was $-2 \, ^{\circ}\mathrm{F}$ . By midnight, a warm front moved in and the temperature rose to $11 \, ^{\circ}\mathrm{F}$ . What was the change in temperature from afternoon to midnight? $\newline$ To solve the problem, Ross subtracted $11 - (-2)$ and came up with an answer of $13 \, ^{\circ}\mathrm{F}$ . Is Ross correct? Why or why not? $\newline$ Choices: $\newline$ (A) Yes, Ross is correct. $\newline$ (B) No. The answer should have been $9 \, ^{\circ}\mathrm{F}$ , not $13 \, ^{\circ}\mathrm{F}$ , because the difference between $11$ and $2$ is $9$ . $\newline$ (C) No. Ross should have added $-2 + 11$ because the temperature rose.

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Add and subtract integers: word problems

Full solution

Q. Read this word problem.

\newline

The afternoon temperature in Biscoff Bay was

-2 \, ^{\circ}\mathrm{F}

. By midnight, a warm front moved in and the temperature rose to

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

. What was the change in temperature from afternoon to midnight?

\newline

To solve the problem, Ross subtracted

11 - (-2)

and came up with an answer of

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

. Is Ross correct? Why or why not?

\newline

Choices:

\newline

(A) Yes, Ross is correct.

\newline

(B) No. The answer should have been

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

, not

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

, because the difference between

11

and

2

is

9

.

\newline

(C) No. Ross should have added

-2 + 11

because the temperature rose.

Subtraction of Integers: Ross subtracted $11 - (-2)$ , which is the same as $11 + 2$ because subtracting a negative is like adding a positive.
Addition of Integers: So, $11 + 2$ equals $13$ .
Verification of Correctness: Therefore, Ross is correct. The change in temperature from afternoon to midnight is $13 \,\text{°F}$ .

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