Evaluate the Absolute Value Expression: |-8 + 3|

Question

8+3= |-8 + 3| =

Step-by-Step Solution

To solve this problem, we will follow these steps:

  • Step 1: Simplify the expression inside the absolute value symbol.
  • Step 2: Apply the definition of absolute value to the simplified expression.

Step 1: We start by evaluating the expression inside the absolute value, 8+3-8 + 3.
When we calculate 8+3-8 + 3, we perform the operation:

8+3=5-8 + 3 = -5.

Step 2: Now that we have simplified the expression to 5-5, we apply the absolute value definition. The absolute value of 5-5 is found using the rule for absolute values:

Since 5-5 is less than zero, we use the definition: x=x|x| = -x when x<0 x < 0 .

Therefore, 5=(5)=5|-5| = -(-5) = 5.

Thus, the solution to the problem is 5 5 .

Answer

5 5