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Read this word problem. $\newline$ A gopher was digging $8$ inches below ground. To avoid a tree root, it dug $3$ inches deeper. What is the position of the gopher now relative to the surface? $\newline$ To solve the problem, Miles subtracted $-8 - 3$ and came up with an answer of $-11$ inches. Is Miles correct? Why or why not? $\newline$ Choices: $\newline$ (A)Yes, Miles is correct. $\newline$ (B)No. The answer should have been $-5$ inches, not $-11$ inches, because the difference in the absolute values of the numbers is $5$ . $\newline$ (C)No. Miles should have subtracted $8 - 3$ because the gopher dug deeper.

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Add and subtract integers: word problems

Full solution

Q. Read this word problem.

\newline

A gopher was digging

8

inches below ground. To avoid a tree root, it dug

3

inches deeper. What is the position of the gopher now relative to the surface?

\newline

To solve the problem, Miles subtracted

-8 - 3

and came up with an answer of

-11

inches. Is Miles correct? Why or why not?

\newline

Choices:

\newline

(A)Yes, Miles is correct.

\newline

(B)No. The answer should have been

-5

inches, not

-11

inches, because the difference in the absolute values of the numbers is

5

.

\newline

(C)No. Miles should have subtracted

8 - 3

because the gopher dug deeper.

Calculate initial depth: The gopher was initially $8$ inches below ground. To find out how deep it is after digging $3$ inches deeper, we add the $3$ inches to the initial $8$ inches. $\newline$ $8$ inches $+$ $3$ inches $=$ $11$ inches
Add depth after digging: So, the gopher is now $11$ inches below the surface.

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\$ 200

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