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 simple fraction or ratio of two integers. Its decimal representation is non-repeating and non-terminating.

Front

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

Back

6.7 is NOT an integer.

Front

What is an example of an improper fraction?

Back

An example of an improper fraction is 21/3.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats a digit or a group of digits indefinitely.

Front

Provide an example of a repeating decimal.

Back

An example of a repeating decimal is 2.334334.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as such.

Front

Can all integers be considered rational numbers?

Back

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

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal that has a finite number of digits after the decimal point.

Front

Give an example of a terminating decimal.

Back

An example of a terminating decimal is 0.75.