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Question

Difficulty: EasyIntegers, Absolute Value, and Number Lines

What is the value of the expression −∣−15+7∣-|-15 + 7|?

  1. A
    −22-22
  2. B
    −15-15
  3. −8-8Answer
  4. D
    88
  5. E
    2222

Answer

−8-8
To find the value of −∣−15+7∣-|-15 + 7|, we first evaluate the expression inside the absolute value bars: −15+7=−8-15 + 7 = -8. Next, we take the absolute value of that result: ∣−8∣=8|-8| = 8. Finally, we apply the negative sign that is outside the absolute value bars, which gives −8-8.

Step-by-Step Solution

1
Evaluate the expression inside the absolute value bars.
−15+7=−8-15 + 7 = -8
Before applying the absolute value, the terms inside the vertical bars must be simplified according to the order of operations.
2
Find the absolute value of the result from Step 1.
∣−8∣=8|-8| = 8
The absolute value of a number represents its distance from zero on a number line, which is always non-negative.
3
Apply the negative sign that is outside the absolute value bars.
−(8)=−8- (8) = -8
The negative sign outside acts as multiplication by −1-1 after the absolute value has been evaluated.

Key Concept

Evaluating expressions involving absolute values and negative numbers
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Topics

Integers, Absolute Value, and Number Lines

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