Solve Absolute Value: Finding |34| Step by Step

Q: Why doesn't the absolute value of 34 become -34?

Absolute value never makes numbers negative! It represents distance from zero, which is always positive or zero. Since 34 is already positive, $ |34| = 34 $.

Q: How do I remember what absolute value means?

Think of it as distance on a number line! Just like you can't walk a negative distance, absolute value is always positive or zero. It tells you how far a number is from zero.

Q: Can absolute value ever equal zero?

Yes! Only when the number inside is zero. $ |0| = 0 $ because zero is exactly 0 units away from zero on the number line.

Q: Do I need to do any calculations for |34|?

No calculations needed! Since 34 is positive, the absolute value is simply 34. You only need to remove negative signs when they're present.

Absolute Value with Positive Integers

Solve for the absolute value of the following integer:

$\left|34\right|=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve for the absolute value of the following integer:

$\left|34\right|=$

Step-by-step solution

The absolute value of a number is always non-negative because it represents the distance from zero. Therefore, the absolute value of $34$ is $34$ .

Final Answer

$34$

Key Points to Remember

Essential concepts to master this topic

Rule: Absolute value represents distance from zero, always non-negative
Technique: For positive numbers like 34, $|34| = 34$
Check: Distance from 0 to 34 on number line is 34 units ✓

Common Mistakes

Avoid these frequent errors

Thinking absolute value changes positive numbers
Don't think |34| = -34 because you're 'making it positive'! This creates confusion since 34 is already positive. Always remember that absolute value of a positive number stays the same positive number.

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 doesn't the absolute value of 34 become -34?

Absolute value never makes numbers negative! It represents distance from zero, which is always positive or zero. Since 34 is already positive, $|34| = 34$ .

What's the difference between |34| and |-34|?

Both equal 34! The absolute value removes the negative sign from $|-34|$ but leaves positive numbers unchanged. So $|34| = |-34| = 34$ .

How do I remember what absolute value means?

Think of it as distance on a number line! Just like you can't walk a negative distance, absolute value is always positive or zero. It tells you how far a number is from zero.

Can absolute value ever equal zero?

Yes! Only when the number inside is zero. $|0| = 0$ because zero is exactly 0 units away from zero on the number line.

Do I need to do any calculations for |34|?

No calculations needed! Since 34 is positive, the absolute value is simply 34. You only need to remove negative signs when they're present.

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