Evaluate the Absolute Value Expression: |0| = ?

Q: Why isn't the absolute value of zero equal to 1?

Absolute value measures distance from zero, not how many numbers exist. Since zero is already at zero on the number line, the distance is zero units, so $ |0| = 0 $.

Q: Does zero count as having an absolute value?

Yes! Every real number has an absolute value, including zero. The absolute value of zero is simply zero because it's zero distance from the origin.

Q: How is |0| different from |1| or |-1|?

The numbers 1 and -1 are each 1 unit away from zero, so $ |1| = |-1| = 1 $. But zero is already at zero, so $ |0| = 0 $.

Q: Is zero positive or negative?

Zero is neither positive nor negative - it's neutral! That's why $ |0| = 0 $ stays zero instead of becoming positive like other absolute values.

Absolute Value with Zero

$\left|0\right|=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\left|0\right|=$

Step-by-step solution

The absolute value of $0$ is the distance from zero to zero on the number line. Since zero is not negative or positive, $\left|0\right| = 0$ .

Final Answer

$0$

Key Points to Remember

Essential concepts to master this topic

Definition: Absolute value measures distance from zero on number line
Zero Rule: Distance from zero to zero equals $0$
Check: Zero has no sign, so $|0| = 0$ ✓

Common Mistakes

Avoid these frequent errors

Thinking zero has no absolute value
Don't say "there is no absolute value" for zero = confusion about definition! Every real number has an absolute value, including zero. Always remember that $|0| = 0$ because zero is exactly zero units 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 isn't the absolute value of zero equal to 1?

Absolute value measures distance from zero, not how many numbers exist. Since zero is already at zero on the number line, the distance is zero units, so $|0| = 0$ .

Does zero count as having an absolute value?

Yes! Every real number has an absolute value, including zero. The absolute value of zero is simply zero because it's zero distance from the origin.

How is |0| different from |1| or |-1|?

The numbers 1 and -1 are each 1 unit away from zero, so $|1| = |-1| = 1$ . But zero is already at zero, so $|0| = 0$ .

Can I visualize this on a number line?

Absolutely! Draw a number line with zero in the center. The absolute value is how many steps you need to reach zero. From zero to zero = 0 steps, so $|0| = 0$ .

Is zero positive or negative?

Zero is neither positive nor negative - it's neutral! That's why $|0| = 0$ stays zero instead of becoming positive like other absolute values.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Absolute Value and Inequality questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime