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Simplify each of the Following Absolute value expressions

A. |-25.6|+|-11.4|

B. -|-3 2/7|

C.|0.375|+|- 5/8|

2 Answers

3 votes

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:

  1. 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.
  2. 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.
  3. 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.
User HymnZzy
by
8.6k points
3 votes
A. 25.6+11.4
B. -3 2/7
C. .375+(5/8)
User Narendra Vadnere
by
9.1k points

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