The Real Number System

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-terminating and non-repeating.

Front

What are the classifications of the number 0?

Back

0 is classified as a Rational, Integer, and Whole number.

Front

Which of the following is an example of an irrational number? Square root of 12 or Square root of 9?

Back

Square root of 12 is an irrational number.

Front

How can 0.4444... be expressed as a fraction?

Back

0.4444... can be expressed as 4/9.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction where both the numerator and the denominator are integers.

Front

Is every integer a rational number?

Back

Yes, every integer is a rational number because it can be expressed as a fraction with a denominator of 1.

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

Give an example of a rational number.

Back

An example of a rational number is 1/2 or 0.75.

Front

What is a whole number?

Back

Whole numbers are non-negative integers, including 0 (0, 1, 2, 3, ...).

Front

What is a natural number?

Back

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