Rational vs Irrational

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction or ratio 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

Is 0.333... a rational or irrational number?

Back

Rational; it can be expressed as 1/3.

Front

Is √2 a rational or irrational number?

Back

Irrational; it cannot be expressed as a fraction.

Front

What is the sum of two rational numbers?

Back

The sum of two rational numbers is always rational.

Front

What is the product of two rational numbers?

Back

The product of two rational numbers is always rational.

Front

What happens when you add a rational number and an irrational number?

Back

The result is always irrational.

Front

What is a repeating decimal?

Back

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

Front

Is -3 a rational number?

Back

Yes, -3 is a rational number because it can be expressed as -3/1.

Front

What is π (pi)?

Back

π (pi) is an irrational number, approximately equal to 3.14159.