The Real Number System

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; it cannot be written as a ratio of two integers.

Front

What are natural numbers?

Back

Natural numbers are the set of positive integers starting from 1, 2, 3, and so on.

Front

What are whole numbers?

Back

Whole numbers are all natural numbers including zero (0, 1, 2, 3, ...).

Front

What are integers?

Back

Integers are whole numbers that can be positive, negative, or zero (-2, -1, 0, 1, 2, ...).

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions.

Front

Classify the number 0.75.

Back

0.75 is a rational number.

Front

Can a natural number be negative?

Back

No, natural numbers are always positive.

Front

Is the number -3 an integer?

Back

Yes, -3 is an integer.

Front

What type of number is 5?

Back

5 is a natural number, whole number, integer, rational number, and real number.