Rational vs 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; it cannot be written as a ratio of two integers.

Front

Is -3 a rational number?

Back

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

Front

What type of number is a repeating decimal?

Back

A repeating decimal is a rational number because it can be expressed as a fraction.

Front

What type of number is π (pi)?

Back

π (pi) is an irrational number because it cannot be expressed as a fraction.

Front

Which of the following is an example of an irrational number: √8, ¾, 2, -1.325?

Back

√8 is an irrational number.

Front

Is -17.5 a rational number?

Back

Yes, -17.5 is a rational number because it can be expressed as -175/10.

Front

What is the decimal representation of a rational number?

Back

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

Front

Can a whole number be a rational number?

Back

Yes, all whole numbers are rational numbers because they can be expressed as a fraction with a denominator of 1.

Front

What is an example of a non-repeating decimal?

Back

An example of a non-repeating decimal is 0.1010010001..., which is an irrational number.