1. **State the problem:** Calculate the value of $|-25| + |10|$. 2. **Recall the definition of absolute value:** The absolute value of a number is its distance from zero on the number line, always non-negative. So, $|x| = x$ if $x \geq 0$, and $|x| = -x$ if $x < 0$. 3. **Evaluate each absolute value:** - $|-25| = 25$ because $-25$ is negative, so we take the opposite. - $|10| = 10$ because $10$ is already positive. 4. **Add the results:** $$|-25| + |10| = 25 + 10 = 35$$ 5. **Final answer:** The value of $|-25| + |10|$ is $35$.