absolute value
Absolute value is a mathematical concept that represents the distance of a number from zero
Absolute value is a mathematical concept that represents the distance of a number from zero. It is denoted by vertical bars or pipes around the number. For example, the absolute value of -5 is written as |-5|, which equals 5.
The absolute value function returns the positive value of a given number, regardless of its sign. It essentially removes the negative sign from a negative number, leaving only its positive value, and leaves a positive number unchanged.
To find the absolute value of a number, you can follow these steps:
1. If the number is already positive or zero, its absolute value is equal to the number itself. For example, the absolute value of 7 is 7, and the absolute value of 0 is 0.
2. If the number is negative, remove the negative sign to obtain the positive value. For example, the absolute value of -4 is 4.
Here are a few examples to illustrate the concept of absolute value:
Example 1:
Find the absolute value of -9.
Solution: Since the number is negative, we remove the negative sign to get the positive value, so the absolute value of -9 is 9.
Example 2:
Find the absolute value of 12.
Solution: The number 12 is already positive, so its absolute value is 12.
Example 3:
Find the absolute value of 0.
Solution: Zero is neither positive nor negative, so its absolute value is 0.
The absolute value function can be used in various mathematical operations and applications. For instance, it is often used to find the distance between two numbers on a number line or to solve equations involving absolute values.
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