Rational vs Irrational

Front

What is the definition of 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 is a decimal that never ends and never repeats.

Front

Give an example of a rational number.

Back

2.5 is an example of a rational number because it can be expressed as 5/2.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely, and it is classified as a rational number.

Front

What is an example of an irrational number?

Back

The square root of 3 (√3) is an example of an irrational number.

Front

Is the number 12.3 an integer?

Back

No, 12.3 is not an integer; it is a decimal 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 fractions and have non-repeating, non-terminating decimal expansions.

Front

Can all integers be classified as rational numbers?

Back

Yes, all integers are rational numbers because they can be expressed as a fraction with a denominator of 1.

Front

What type of number is 0.333... (repeating)?

Back

0.333... is a rational number because it can be expressed as the fraction 1/3.

Front

What is the decimal representation of the rational number 1/4?

Back

The decimal representation of 1/4 is 0.25.