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Read this word problem. $\newline$ On a cold February morning, Colton checked the temperature on his phone and saw that it was $-3 \, ^{\circ}\mathrm{C}$ . When he checked again after school, the temperature had dropped $3 \, ^{\circ}\mathrm{C}$ . What was the temperature after school? $\newline$ To solve the problem, Ellen subtracted $-3 - (-3)$ and came up with an answer of $0 \, ^{\circ}\mathrm{C}$ . Is Ellen correct? Why or why not? $\newline$ $\newline$ Choices: $\newline$ (A) Yes, Ellen is correct. $\newline$ (B) No. Ellen should have added $-3 + 3$ because she needed to add the starting temperature and the change in temperature. $\newline$ (C) No. Ellen should have subtracted $-3 - 3$ because the temperature started at $-3 \, ^{\circ}\mathrm{C}$ and dropped $3 \, ^{\circ}\mathrm{C}$ .

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Add and subtract integers: word problems

Full solution

Q. Read this word problem.

\newline

On a cold February morning, Colton checked the temperature on his phone and saw that it was

-3 \, ^{\circ}\mathrm{C}

. When he checked again after school, the temperature had dropped

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

. What was the temperature after school?

\newline

To solve the problem, Ellen subtracted

-3 - (-3)

and came up with an answer of

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

. Is Ellen correct? Why or why not?

\newline

\newline

Choices:

\newline

(A) Yes, Ellen is correct.

\newline

(B) No. Ellen should have added

-3 + 3

because she needed to add the starting temperature and the change in temperature.

\newline

(C) No. Ellen should have subtracted

-3 - 3

because the temperature started at

-3 \, ^{\circ}\mathrm{C}

and dropped

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

.

Starting Temperature Calculation: Colton's starting temperature was $-3 \, ^{\circ}\mathrm{C}$ . The temperature dropped by $3 \, ^{\circ}\mathrm{C}$ . To find the new temperature, subtract the drop from the starting temperature: $-3 \, ^{\circ}\mathrm{C} - 3 \, ^{\circ}\mathrm{C}$ .
Subtraction Calculation: Perform the subtraction: $-3 - 3 = -6$ .
Ellen's Incorrect Calculation: The temperature after school was $-6 \, ^{\circ}C$ . Ellen's calculation of $-3 - (-3) = 0 \, ^{\circ}C$ is incorrect because she did not account for the temperature drop correctly.

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