Comprehensive Calculator Guide
This calculator finds |x|, a number’s distance from zero on the number line, so a minus sign is dropped and a positive number stays as it is: |−7.5| = 7.5. Add a second number to get the distance between them, |a − b|: from 3 to −4 is 7. It helps with integers, equations and differences without direction.
Absolute value
|x| = x when x ≥ 0 and −x when x < 0, so it is never negative. The distance between a and b is |a − b| either way round. |x| = 5 has two solutions, 5 and −5.
How to Use
- Enter the number.
- Add a second number for the distance (optional).
- Press “Calculate” to see the absolute value and distance.
Formula Used
|x| = x if x ≥ 0, −x if x < 0 | distance = |a − b|
Practical Examples
- Example 1
- |−7.5| = 7.5.
- Example 2
- Distance from 3 to −4: 7.
Important Tips
- Think of it as distance.
- Work out the inside first.
- |x| = 5 has two answers.
Common Mistakes to Avoid
- Assuming |a + b| = |a| + |b|.
- Missing the negative solution.
- Thinking it flips positives.
Frequently Asked Questions
- |−12|?
- 12.
- Can it be negative?
- No.
- Distance from −2 to 5?
- 7.