Math Snap

STEP 1

Assumptions1. The value of $k$ is $-49$
. The value of $m$ is $43$
3. We need to evaluate the expression $|m-k|$

STEP 2

The absolute value of a number is its distance from zero on the number line, regardless of the direction. The absolute value is always non-negative. So, $|m-k|$ means we subtract $k$ from $m$ and take the absolute value of the result.
$$|m-k| = |43 - (-49)|$$

STEP 3

Subtract $k$ from $m$.
$$|m-k| = |43 - (-49)| = |43 +49|$$

STEP 4

Calculate the sum inside the absolute value.
$$|m-k| = |43 +49| = |92|$$

The absolute value of92 is92 itself, because92 is a positive number.
$$|m-k| = |92| =92$$So, the value of the expression $|m-k|$ for $k=-49$ and $m=43$ is92.