Real Number Systems

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 is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely.

Front

What are natural numbers?

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 are whole numbers?

Back

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

Front

What are integers?

Back

Integers are the set of whole numbers that include positive numbers, negative numbers, and zero (-2, -1, 0, 1, 2, ...).

Front

Can a number be both rational and irrational?

Back

No, a number cannot be both rational and irrational; it can only be one or the other.

Front

What is the classification of the number π (pi)?

Back

π (pi) is classified as an irrational number and also a real number.

Front

How can -7.5 be classified?

Back

-7.5 is classified as a rational number and a real number.

Front

What is the difference between rational and irrational numbers?

Back

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