Question

Solve the following problem: |7 - 3| - |3-7| = ?

A) 0
B) 4
C) -4
D) 8

Answer 1

The solution to the problem |7 - 3| - |3-7| is found by calculating the absolute values, which both result in 4. Subsequently, subtracting these equal values gives us 0, corresponding to option A.

Step-by-step explanation:

To solve the problem |7 - 3| - |3-7|, we first need to understand the concept of absolute value. The absolute value of a number is the non-negative value of the number without regard to its sign. For example, both |7 - 3| and |3 - 7| involve the same numbers, but with the subtraction order reversed. Since the subtraction inside the absolute value can result in a negative number, the absolute value turns it into a positive number.

Let's solve the first absolute value: |7 - 3| = |4| = 4, because 7 minus 3 equals 4. Now let's solve the second absolute value: |3 - 7| = |-4| = 4, because 3 minus 7 equals -4, but the absolute value turns it into a positive 4.

Now we subtract the second result from the first: 4 - 4 = 0. Therefore, the answer to the problem |7 - 3| - |3-7| is 0, which corresponds to option A.