HW - Rational / Irrational Numbers

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. Examples include integers, fractions, and terminating or repeating decimals.

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. Examples include √2, π, and e.

Front

Is √4 a rational or irrational number?

Back

Rational (√4 = 2, which is an integer).

Front

Is 1/3 a rational or irrational number?

Back

Rational (it can be expressed as a fraction).

Front

What type of number is 0?

Back

Rational (0 can be expressed as 0/1).

Front

Is π a rational or irrational number?

Back

Irrational (it cannot be expressed as a fraction).

Front

What is the result of (√2) * (√2)?

Back

Rational (the result is 2, which is an integer).

Front

Is 3.14 a rational or irrational number?

Back

Rational (it can be expressed as a fraction, 314/100).

Front

What is the decimal representation of a rational number?

Back

It can be either terminating (like 0.5) or repeating (like 0.333...).

Front

Is √25 a rational or irrational number?

Back

Rational (√25 = 5, which is an integer).