What is the absolute value of -72?

What is the absolute value of -72? Many times, we come across numbers that are negative, and we might wonder what their absolute value is. Specifically, in the case of -72, the absolute value is a positive number. Let’s explore further to understand what exactly the absolute value means and how we calculate it.

Absolute value refers to the distance of a number from zero on a number line. It indicates the magnitude or size of a number regardless of its sign. By eliminating any negative sign, we obtain the absolute value. In simple terms, it shows how far a number is from zero, without considering whether it is positive or negative.

Now, to answer the question, **the absolute value of -72 is 72**. Since -72 is 72 units away from zero, the absolute value of -72 is equal to 72.

FAQs about Absolute Value:

1. What is the definition of absolute value?

The absolute value of a number represents its distance from zero on the number line, disregarding its sign.

2. How do I find the absolute value of a positive number?

The absolute value of a positive number is the number itself. For example, the absolute value of 5 is 5.

3. Is the absolute value always positive?

Yes, the absolute value is always positive or zero but never negative.

4. How do I find the absolute value of a negative number?

To find the absolute value of a negative number, simply remove its negative sign. For instance, the absolute value of -8 is 8.

5. Can the absolute value of zero be negative?

No, the absolute value of zero is always zero since it has no distance from zero.

6. What is the symbol for absolute value?

The symbol for absolute value is two vertical lines surrounding the number, like |x|.

7. What is the absolute value of any positive number squared?

When you square a positive number, the absolute value remains the same. For example, the absolute value of (3^2) is still 3.

8. What is the absolute value of any negative number squared?

When you square a negative number, the result is always positive. So, the absolute value of a negative number squared becomes positive. For instance, the absolute value of (-4^2) is 16.

9. Is absolute value commutative?

No, absolute value is not commutative. In other words, |a + b| is not always equal to |b + a|. The ordering of the terms matters.

10. Can the absolute value of a number ever be negative?

No, the absolute value of a number is always either positive or zero but never negative.

11. How is absolute value useful in real-life applications?

Absolute value is used in various fields, such as physics, engineering, and economics, to represent magnitudes, distances, or deviations from a reference point.

12. Can absolute value be used to compare numbers?

Yes, absolute value can be used to compare numbers. By comparing the absolute values of two numbers, you can determine which one is bigger or smaller, regardless of their signs.

In conclusion, the absolute value of -72 is 72. The concept of absolute value is crucial in mathematics as it helps us understand the magnitude of numbers, irrespective of their sign. By considering the distance from zero, we can determine the absolute value of any number, be it positive or negative.

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