Understanding the Absolute Value of Numbers: Definition, Calculation, and Applications

absolute value

The absolute value of a number refers to the magnitude or size of the number without considering its sign

The absolute value of a number refers to the magnitude or size of the number without considering its sign. In other words, it represents the distance between the number and zero on a number line.

The symbol used to denote absolute value is two vertical bars around the number. For example, the absolute value of -5 is written as |-5|, and the absolute value of 7 is written as |7|.

To calculate the absolute value of a number, you simply remove the negative sign if the number is negative, or leave the number unchanged if it is positive or zero. Here are a few examples:

1. |-5| = 5: Since -5 is a negative number, removing the negative sign gives us the absolute value of 5.

2. |7| = 7: Since 7 is a positive number, the absolute value remains the same.

3. |0| = 0: Zero is neither positive nor negative, so its absolute value is 0.

The absolute value function is often used in various mathematical equations and applications, including solving inequalities, finding the distance between two points, and evaluating the modulus of complex numbers. It is a helpful concept to understand in order to interpret and solve mathematical problems accurately.

More Answers:

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Finding the value of a to make the equation pass through the point (0,0): a(x + 2)² – 1 = 0

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