Rational & Irrational

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

Is the sum of two rational numbers rational or irrational?

Back

Rational; The sum of two rational numbers is always rational.

Front

Is the sum of a rational number and an irrational number rational or irrational?

Back

Irrational; The sum of a rational number and an irrational number is always irrational.

Front

Is the product of two rational numbers rational or irrational?

Back

Rational; The product of two rational numbers is always rational.

Front

Is the product of a nonzero rational number and an irrational number rational or irrational?

Back

Irrational; The product of a nonzero rational number and an irrational number is always irrational.

Front

What is an example of a rational number?

Back

Examples include 1/2, 3, -4, and 0.75.

Front

What is an example of an irrational number?

Back

Examples include √2, π (pi), and e (Euler's number).

Front

Is √4 rational or irrational?

Back

Rational; √4 = 2, which is a rational number.

Front

Is √2 + √4 rational or irrational?

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Irrational; √2 is irrational and √4 is rational, so their sum is irrational.