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.

Tags

CCSS.5.NBT.A.2

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.

Tags

CCSS.8.NS.A.1

Front

Is the number \( \frac{5}{7} \) rational or irrational?

Back

Rational number.

Front

What type of number is a non-perfect square?

Back

Irrational.

Tags

CCSS.8.NS.A.1

Front

Which of the following is a rational number: \( \sqrt{16} \) or \( \sqrt{2} \)?

Back

\( \sqrt{16} \) is a rational number.

Front

What is an example of an irrational number?

Back

An example of an irrational number is 5.72314... (a non-repeating, non-terminating decimal).

Tags

CCSS.8.NS.A.1

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 the decimal representation of a rational number?

Back

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

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

What is the decimal representation of an irrational number?

Back

The decimal representation of an irrational number is non-terminating and non-repeating.

Tags

CCSS.8.NS.A.1

Front

Is the number 0.333... rational or irrational?

Back

Rational, because it can be expressed as \( \frac{1}{3} \).

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1