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In mathematics, the absolute value or modulus of a real number , denoted , is the non-negative value of without regard to its sign. Namely, if is a positive number, and if is negative (in which case negating makes positive), and . For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3.
What would happen if you have a negative sign outside of the absolute value sign. For example, 4-|8n|= -52. You subtract the 4 from both sides and get. -|8n|=-56. Would negative sign next to the absolute value sign change the -52?
The absolute value of −156 is 156 No Negatives! So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive (or zero).
How Do you Find the Absolute Value of a Negative Number? The absolute value of a negative number is also a positive value. If a number x < 0, then its absolute value is given by, |x| = -x. For example, |-2| = 2. Irrespective of the sign of the numeric value, the absolute value is always non-negative. What Is the Use of Absolute Value?
What is absolute value? The absolute value of a number is its distance from 0 . Example: positive number. The absolute value of 4 is 4 : − 5 − 4 − 3 − 2 − 1 0 1 2 3 4 5 4. Example: negative number. The absolute value of − 4 is also 4 : − 5 − 4 − 3 − 2 − 1 0 1 2 3 4 5 4.
To solve absolute value equations, find x values that make the expression inside the absolute value positive or negative the constant. To graph absolute value functions, plot two lines for the positive and negative cases that meet at the expression's zero.
Remember, the absolute value of a number is always nonnegative (positive or zero). If a number is negative, negating that number will make it positive. | − 5| = − (−5) = 5, and similarly, | − 12| = − (−12) = 12. Thus, if x < 0 (if x is negative), then |x| = −x. If x = 0, then |x| = 0.
