# Algebra 1 homework practice workbook

### Question:

What is the absolute value for negative 6?

Let us solve, 16−∣2z+1∣

Substitute z = -4

=16−∣2(−4)+1∣

=16−∣−8+1∣

=16−∣−7∣

Note that absolute value is positive always, |-7| = +7

= 16-(+7)

=16−7

= 9

A number’s absolute value is its distance from zero on the number line, independent of the direction the number is written. An absolute value, unlike a numerical value, can never be negative. Just have a look at these examples. The absolute value of the number 5 is 5. Between the digits 5 and 0, there is a distance of 5 units. There are numerous mathematical applications of the concept of absolute value for real numbers. Definitions of absolute value can be found in the domains of mathematics for things like complex numbers, quaternions, ordered rings, and vector spaces. The ideas of magnitude, distance, and norm are all connected to the idea of absolute value in many contexts in mathematics and physics.

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