7.7.1: Key Terms

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Additive Identity: The additive identity is 0. When zero is added to any number, it does not change the value.

Additive Inverse: The opposite of a number is its additive inverse. The additive inverse of a is $- a$ .

Irrational number: An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.

Multiplicative Identity: The multiplicative identity is 1. When one multiplies any number, it does not change the value.

Multiplicative Inverse: The reciprocal of a number is its multiplicative inverse. The multiplicative inverse of a is $\frac{1}{a}$ .

Rational number: A rational number is a number that can be written in the form $\frac{p}{q}$ , where p and q are integers and $q \neq 0$ . Its decimal form stops or repeats.

Real number: a real number is a number that is either rational or irrational.

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