Real Number Systems (8.2A/B)

Front

What is a real number?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.

Front

What are rational numbers?

Back

Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What are irrational numbers?

Back

Irrational numbers are numbers that cannot be expressed as a simple fraction; they have non-repeating, non-terminating decimal expansions.

Front

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number.

Front

How do you estimate square roots?

Back

To estimate square roots, find the two perfect squares between which the number lies and then approximate the value.

Front

What is the difference between whole numbers and integers?

Back

Whole numbers are non-negative numbers (0, 1, 2, ...), while integers include all whole numbers and their negative counterparts.

Front

What is the classification of the number 1,378,472,706?

Back

The number 1,378,472,706 is classified as a natural number, whole number, integer, rational number, and real number.

Front

What is a natural number?

Back

Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...).

Front

What is the significance of -7.5 in number classification?

Back

-7.5 is classified as a rational number and a real number, but it is not a natural number, whole number, or integer.

Front

What is the relationship between whole numbers and rational numbers?

Back

All whole numbers are also rational numbers because they can be expressed as a fraction with a denominator of 1.