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 definition of natural numbers?

Back

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

Front

What are whole numbers?

Back

Whole numbers are non-negative integers that include zero and all positive integers (0, 1, 2, 3, ...).

Front

Is the number 0 a natural number?

Back

No, 0 is not considered a natural number; it is a whole number.

Front

What is an example of a rational number?

Back

An example of a rational number is 1/2, which can be expressed as a fraction.

Front

What is an example of an irrational number?

Back

An example of an irrational number is √2, which cannot be expressed as a fraction.

Front

Can a whole number be a rational number?

Back

Yes, all whole numbers are also rational numbers because they 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 and have non-repeating, non-terminating decimals.

Front

What is the decimal representation of 1/3?

Back

The decimal representation of 1/3 is 0.333..., which is a repeating decimal.