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Read this word problem. $\newline$ The temperature on February $2$ in Lake City was $14 \, ^{\circ}\mathrm{F}$ . The temperature in Ellenville the same day was $-6 \, ^{\circ}\mathrm{F}$ . How much warmer was it in Lake City than in Ellenville? $\newline$ To solve the problem, Gabby subtracted $14 - (-6)$ and came up with an answer of $8 \, ^{\circ}\mathrm{F}$ . Is Gabby correct? Why or why not? $\newline$ Choices: $\newline$ (A) Yes, Gabby is correct. $\newline$ (B) No. The answer should have been $20 \, ^{\circ}\mathrm{F}$ , not $8 \, ^{\circ}\mathrm{F}$ , because subtracting a negative number is the same as adding its opposite. $\newline$ (C) No. Gabby should have added $-6 + 14$ because the temperature in Lake City was warmer.

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Add and subtract integers: word problems

Full solution

Q. Read this word problem.

\newline

The temperature on February

2

in Lake City was

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

. The temperature in Ellenville the same day was

-6 \, ^{\circ}\mathrm{F}

. How much warmer was it in Lake City than in Ellenville?

\newline

To solve the problem, Gabby subtracted

14 - (-6)

and came up with an answer of

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

. Is Gabby correct? Why or why not?

\newline

Choices:

\newline

(A) Yes, Gabby is correct.

\newline

(B) No. The answer should have been

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

, not

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

, because subtracting a negative number is the same as adding its opposite.

\newline

(C) No. Gabby should have added

-6 + 14

because the temperature in Lake City was warmer.

Subtracting a negative: Gabby did $14 - (-6)$ . Subtracting a negative is like adding a positive, so it's $14 + 6$ .
Add them up: Now add them up: $14 + 6 = 20$ .
Temperature difference: So, the temperature was $20 \, ^{\circ}\mathrm{F}$ warmer in Lake City than in Ellenville.

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