Question

Johanna installs a post in her yard at a depth of 41 cm below ground. She installs a second post at a depth of 25 cm below ground.

image 1c1f822af9e1417285c9db8c7c6ae09b

Which expression shows the distance between the depths of the two posts?

A.
−
41
−
25

B.
−
41
−
(
−
25
)

C.
|
−
41
−
25
|

D.
|
−
41
−
(
−
25
)

Answer 1

To find the distance between the depths of the two posts, we can use the concept of absolute value to measure the difference in their depths (where depths are represented as negative values).

The depths of the posts are:
- First post: \( -41 \) cm
- Second post: \( -25 \) cm

The distance between the two depths can be calculated as:

\[
|-41 - (-25)| = |-41 + 25| = |-41 + 25| = |-16| = 16
\]

Therefore, the correct expression that shows the distance between the depths of the two posts is:

**D. \( |-41 - (-25)| \)**