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Read this word problem. $\newline$ In the morning, the temperature was $-10 \, ^{\circ}\mathrm{C}$ . By the afternoon, it had risen to $-2 \, ^{\circ}\mathrm{C}$ . What was the change in temperature from the morning to the afternoon? $\newline$ To solve the problem, Luke subtracted $-2 - (-10)$ and came up with an answer of $8 \, ^{\circ}\mathrm{C}$ . Is Luke correct? Why or why not? $\newline$ Choices: $\newline$ (A) Yes, Luke is correct. $\newline$ (B) No. The answer should have been $-8 \, ^{\circ}\mathrm{C}$ , not $8 \, ^{\circ}\mathrm{C}$ , because the temperature is still negative. $\newline$ (C) No. Luke should have added $-10 + (-2)$ because the temperature rose.

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Add and subtract integers: word problems

Full solution

Q. Read this word problem.

\newline

In the morning, the temperature was

-10 \, ^{\circ}\mathrm{C}

. By the afternoon, it had risen to

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

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

\newline

To solve the problem, Luke subtracted

-2 - (-10)

and came up with an answer of

8 \, ^{\circ}\mathrm{C}

. Is Luke correct? Why or why not?

\newline

Choices:

\newline

(A) Yes, Luke is correct.

\newline

(B) No. The answer should have been

-8 \, ^{\circ}\mathrm{C}

, not

8 \, ^{\circ}\mathrm{C}

, because the temperature is still negative.

\newline

(C) No. Luke should have added

-10 + (-2)

because the temperature rose.

Calculate subtraction: Luke did $-2 - (-10)$ , which is the same as $-2 + 10$ because subtracting a negative is like adding a positive.
Perform addition: So, $-2 + 10$ equals $8$ .
Verify temperature change: The change in temperature is a rise of $8 \, ^{\circ}C$ , so Luke is correct.

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