Rational and Irrational Numbers

Front

What are natural numbers?

Back

Natural numbers are the set of positive integers starting from 1, 2, 3, and so on. They do not include zero or negative numbers.

Front

Which of the following is a rational number? √4, √5, √3, √2

Back

√4 is a rational number because it equals 2, which can be expressed as a fraction (2/1).

Front

True or False: Every natural number is an integer.

Back

True. Natural numbers are a subset of integers.

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-repeating and non-terminating.

Front

Which of the following is an example of an irrational number? √2, √1, √9, √25

Back

√2 is an irrational number because it cannot be expressed as a fraction.

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.

Front

Give an example of a natural number.

Back

An example of a natural number is 5.

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

Is 0 a natural number?

Back

No, 0 is not considered a natural number.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (e.g., 0.5) or repeats (e.g., 0.333...).