U4 CW #3: Rational and 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.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.

Front

Is √25 a rational or irrational number?

Back

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

Front

Is 0.141414141414... a rational or irrational number?

Back

Rational (it can be expressed as the fraction 14/99).

Front

Is √7 a rational or irrational number?

Back

Irrational (it cannot be expressed as a fraction).

Front

Is -√4 a rational or irrational number?

Back

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

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 π (pi) and √2.

Front

How can you identify a rational number?

Back

If it can be written as a fraction a/b where a and b are integers and b ≠ 0.

Front

How can you identify an irrational number?

Back

If its decimal form is non-terminating and non-repeating.