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Algebra

Chapter 9

Problem 2

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Rule 1: The product or quotient of two signed numbers that have the same sign is a positive number.
Rule 2: The product or quotient of two signed numbers that have opposite signs is a neagative number.

(a) The additive inverse of is

(b) The additive inverse of - is

(c) The sum of a real number and its additive inverse is


Example:

Definition of Multiplicative Inverse:
For any given nonzero real number x, the reciprocal,

(or multiplicative inverse), of the number is: click refresh (F5)

So, the multiplicative inverse of x = -1.23 can be written as click refresh (F5)...

This problem can be solved using the graphing calculator below by entering -1/1.23 in the Function f(x)= box
Then click on the Plot Graph button. The answer will appear as f(x)= -0.813... below the Function f(x)=box

Definition of Additive Inverse:
For any given nonzero real number x, the Additive Inverse,

of the number is: click refresh (F5)

So, the additive inverse of x = -1.23 can be written as click refresh (F5)...

This problem can be solved using the graphing calculator below by entering -(-1.23) in the Function f(x)= box
Then click on the Plot Graph button. The answer will appear as f(x)= 1.23 below the Function f(x)=box