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Read this word problem. $\newline$ In science class, Antonio started an experiment using a solution with a temperature of $-5 \, ^{\circ}\mathrm{C}$ . During the experiment, the change in the solution's temperature was $-4 \, ^{\circ}\mathrm{C}$ . What was the final temperature of Antonio's solution? $\newline$ To solve the problem, Antonio added $-5 + (-4)$ and came up with an answer of $-9 \, ^{\circ}\mathrm{C}$ . Is Antonio correct? Why or why not? $\newline$ Choices: $\newline$ (A) Yes, Antonio is correct. $\newline$ (B) No. The answer should have been $9 \, ^{\circ}\mathrm{C}$ , not $-9 \, ^{\circ}\mathrm{C}$ , because a negative plus a negative is always a positive. $\newline$ (C) No. Antonio should have subtracted $-5 - (-4)$ because the temperature dropped.

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Add and subtract integers: word problems

Full solution

Q. Read this word problem.

\newline

In science class, Antonio started an experiment using a solution with a temperature of

-5 \, ^{\circ}\mathrm{C}

. During the experiment, the change in the solution's temperature was

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

. What was the final temperature of Antonio's solution?

\newline

To solve the problem, Antonio added

-5 + (-4)

and came up with an answer of

-9 \, ^{\circ}\mathrm{C}

. Is Antonio correct? Why or why not?

\newline

Choices:

\newline

(A) Yes, Antonio is correct.

\newline

(B) No. The answer should have been

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

, not

-9 \, ^{\circ}\mathrm{C}

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

\newline

(C) No. Antonio should have subtracted

-5 - (-4)

because the temperature dropped.

Initial Temperature Calculation: Antonio's initial temperature is $-5 \, ^{\circ}C$ . The change in temperature is $-4 \, ^{\circ}C$ . To find the final temperature, we add the change to the initial temperature. $\newline$ $-5 + (-4) = -5 - 4$
Addition of Change in Temperature: Perform the addition: $-5 - 4 = -9$
Final Temperature Calculation: Antonio's final temperature is $-9 \, ^{\circ}\mathrm{C}$ . So, Antonio is correct.

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