Rational and Irrational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a 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 ratio of two integers. Its decimal representation is non-terminating and non-repeating.

Front

Which of the following is NOT an integer: 5, -3, 6.7, 0?

Back

6.7 is NOT an integer.

Front

What is an example of an improper fraction?

Back

An example of an improper fraction is \( \frac{21}{3} \), which simplifies to 7.

Front

True or False: Every rational number can be written as a terminating decimal or a repeating decimal.

Back

True.

Front

Convert \( \frac{1}{4} \) to a decimal.

Back

\( \frac{1}{4} \) as a decimal is 0.25.

Front

What is the decimal representation of the rational number \( \frac{3}{2} \)?

Back

The decimal representation of \( \frac{3}{2} \) is 1.5.

Front

What is the difference between a terminating decimal and a repeating decimal?

Back

A terminating decimal has a finite number of digits after the decimal point, while a repeating decimal has one or more digits that repeat infinitely.

Front

Is the number 0.333... rational or irrational?

Back

0.333... is a rational number because it can be expressed as \( \frac{1}{3} \).

Front

What is the decimal equivalent of the fraction \( \frac{5}{8} \)?

Back

The decimal equivalent of \( \frac{5}{8} \) is 0.625.