Final answer:
Absolute values are simplified by converting negative numbers to their positive counterparts and summing them. For example, |-25.6|+|-11.4| equals 37, -|-3 2/7| equals -3 2/7, and |0.375|+|- 5/8| equals 1.
Step-by-step explanation:
The absolute value of a number is the distance of that number from zero on the number line, without considering the direction. This means it is always non-negative. Here's how we simplify the given expressions:
- A. |-25.6|+|-11.4|: The absolute value of -25.6 is 25.6, and the absolute value of -11.4 is 11.4. Therefore, adding these together gives us 25.6 + 11.4 = 37.
- B. -|-3 2/7|: The absolute value of -3 2/7 is 3 2/7, and since we have a negative outside of the absolute value, our final answer is -3 2/7.
- C. |0.375|+|- 5/8|: The absolute value of 0.375 is 0.375, and the absolute value of - 5/8 is 5/8, which, when converted to decimal, is 0.625. Adding these together gives us 0.375 + 0.625 = 1.