Properties of Real Numbers

Front

What is the Additive Inverse?

Back

The Additive Inverse of a number is the value that, when added to the original number, results in zero. For example, the additive inverse of 2 is -2.

Front

What is the Additive Identity?

Back

The Additive Identity is the number 0, because adding 0 to any number does not change the value of that number. For example, 5 + 0 = 5.

Front

What is the Multiplicative Identity?

Back

The Multiplicative Identity is the number 1, because multiplying any number by 1 does not change the value of that number. For example, 7 × 1 = 7.

Front

What is the Multiplicative Inverse?

Back

The Multiplicative Inverse of a number is the value that, when multiplied by the original number, results in 1. For example, the multiplicative inverse of 4 is 1/4.

Front

Classify the number: -5

Back

-5 is an integer, rational, and real number.

Front

Classify the number: 0.75

Back

0.75 is a rational and real number.

Front

What is a Rational Number?

Back

A Rational Number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

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What is an Irrational Number?

Back

An Irrational Number is a number that cannot be expressed as a simple fraction. Its decimal representation goes on forever without repeating.

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What is a Natural Number?

Back

Natural Numbers are the set of positive integers starting from 1 (1, 2, 3, ...). They do not include zero or negative numbers.

Front

What is a Whole Number?

Back

Whole Numbers are the set of non-negative integers (0, 1, 2, 3, ...). They include zero.