What Is The Absolute Value Of -3

What is the Absolute Value of -3? A Simple Explanation

The absolute value of a number represents its distance from zero on the number line. It's always a non-negative number, regardless of whether the original number is positive or negative. This means we're only concerned with the magnitude, or size, of the number, not its direction. So, what is the absolute value of -3? Let's break it down.

Understanding Absolute Value

The absolute value of a number is denoted by two vertical bars surrounding the number, like this: | |. For example, the absolute value of -3 is written as |-3|.

To find the absolute value:

• If the number is positive or zero, the absolute value is the number itself. For example, |5| = 5 and |0| = 0.
• If the number is negative, the absolute value is the opposite (positive) of that number. For example, |-5| = 5.

Calculating the Absolute Value of -3

Since -3 is a negative number, its absolute value is the opposite of -3, which is 3. Therefore:

|-3| = 3

This means that -3 is 3 units away from zero on the number line.

Absolute Value in Real-World Applications

Absolute value has practical applications in various fields, including:

• Mathematics: Used extensively in algebra, calculus, and other mathematical disciplines. It's crucial for solving equations and inequalities involving distance and magnitude.
• Physics: Describes the magnitude of physical quantities like velocity (speed) and acceleration, without considering direction. A car traveling at -3 m/s (negative indicating a backward direction) has a speed of |-3 m/s| = 3 m/s.
• Computer Science: Used in programming for tasks like error handling and distance calculations.

In Summary

The absolute value of -3 is 3. Understanding absolute value is fundamental in mathematics and other fields where the magnitude of a quantity is more important than its direction. Remember, the absolute value always results in a non-negative number.