Calculate the Absolute Value: Solving |-25| Step by Step

Absolute Value with Negative Numbers

Determine the absolute value of the following number:

25= \left|-25\right|=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Determine the absolute value of the following number:

25= \left|-25\right|=

2

Step-by-step solution

The absolute value of a number is the distance of the number from zero on a number line, without considering its direction. For the number 25 -25 , the absolute value is 25 25 because it is 25 units away from zero without considering the negative sign.

3

Final Answer

25 25

Key Points to Remember

Essential concepts to master this topic
  • Definition: Absolute value is distance from zero, always positive
  • Method: Remove negative sign from -25 to get 25
  • Check: Count 25 units from zero in either direction ✓

Common Mistakes

Avoid these frequent errors
  • Keeping the negative sign in the answer
    Don't write |-25| = -25! Absolute value measures distance, which is never negative. Always remove the negative sign to get the positive distance from zero.

Practice Quiz

Test your knowledge with interactive questions

Determine the absolute value of the following number:

\( \left|18\right|= \)

FAQ

Everything you need to know about this question

Why can't absolute value be negative?

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Absolute value represents distance, and distance is always positive or zero. Just like you can't walk a negative number of steps, you can't have negative distance!

What if the number is already positive?

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If the number is already positive, like 15 |15| , the absolute value stays the same: 15 15 . The bars don't change positive numbers!

How do I remember which way the absolute value bars go?

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Think of absolute value bars | | as protective walls around the number. They protect it from being negative by making everything inside positive!

Is there ever a time when absolute value equals zero?

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Yes! 0=0 |0| = 0 because zero is exactly zero units away from zero. It's the only number whose absolute value equals itself and is neither positive nor negative.

Can I have absolute value of absolute value?

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Sure! For example, 25=25=25 ||{-25}|| = |25| = 25 . Once you take absolute value once, the result is positive, so taking it again doesn't change anything.

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