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 a rational number?

Back

Yes, 0 is a rational number because it can be expressed as 0/1.

Front

Is the square root of 25 rational or irrational?

Back

Rational, because the square root of 25 is 5, which is a whole number.

Front

What is the decimal representation of a rational number?

Back

The decimal representation of a rational number either terminates (ends) or repeats.

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number goes on forever without repeating.

Front

Is 1/3 a rational number?

Back

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

Front

What is an example of an irrational number?

Back

An example of an irrational number is π (pi), which is approximately 3.14.

Front

Is -3.5 a rational number?

Back

Yes, -3.5 is a rational number because it can be expressed as -7/2.

Front

What type of number is 2.25?

Back

2.25 is a rational number because it can be expressed as 9/4.