What is the absolute value of -47?

When it comes to understanding numbers, we often encounter terms like positive, negative, and absolute value. These concepts can sometimes be confusing, especially when dealing with negative numbers. In this article, we will focus on one particular question: What is the absolute value of -47?

Understanding Absolute Value

Before we delve into finding the absolute value of -47, let’s first understand what absolute value means. The absolute value of a number refers to its distance from zero on a number line. It disregards the sign of the number and gives us its magnitude.

For instance, the absolute value of 5 and -5 is the same, which is 5. The absolute value simply tells us how far a number is from zero, without considering its positive or negative nature.

What is the Absolute Value of -47?

To find the absolute value of -47, we can follow a simple rule: ignore the negative sign and write down the number as positive. Applying this rule to -47, we can conclude that:

**The absolute value of -47 is 47.**

By removing the negative sign and considering only the magnitude, we find that -47 is 47 units away from zero on the number line.

Frequently Asked Questions

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

No, the absolute value of any number is always positive or zero.

2. What is the absolute value of 0?

The absolute value of 0 is just 0 since it is already at 0 units away from itself on the number line.

3. Is the absolute value of a positive number the same as the original number?

Yes, the absolute value of a positive number will always be the same as the original number itself.

4. How is the absolute value represented mathematically?

In mathematical notation, the absolute value of a number x is typically denoted by placing vertical bars around it, like |x|.

5. Can the absolute value of a non-integer be calculated?

Yes, the concept of absolute value can be applied to any real number, including non-integers such as fractions or decimals.

6. Is the absolute value a measure of distance?

Yes, the absolute value is a measure of distance from zero. It tells us how far a number is from zero, regardless of its positive or negative nature.

7. Can the absolute value of a complex number be calculated?

Yes, the absolute value of a complex number is found by taking the square root of the sum of the squares of its real and imaginary parts.

8. Does the absolute value operation change the sign of a negative number?

No, the absolute value operation removes the negative sign from a negative number but does not change its sign. The result is always positive or zero.

9. Is the absolute value of a number always greater than or equal to zero?

Yes, the absolute value of any number is never negative and is either zero or positive.

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

No, the absolute value of a positive number is always positive since the distance from zero is always positive.

11. Why is the absolute value important?

The concept of absolute value is significant in various mathematical applications, such as solving equations, calculating distances, and determining magnitudes.

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

No, the absolute value of any negative number is always positive and therefore cannot be equal to zero.

Understanding absolute value is crucial in many mathematical operations and applications. Whether dealing with negative numbers, complex numbers, or even non-integers, knowing how to find the absolute value allows us to analyze and interpret numerical information effectively. Now that you know the absolute value of -47 is 47, you can confidently handle similar calculations and explore the realm of mathematics with more clarity.

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