Rational / Irrational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers, and 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 is non-repeating and non-terminating when expressed in decimal form.

Tags

CCSS.8.NS.A.1

Front

Is √9 a rational number?

Back

Yes, √9 = 3, which can be expressed as the fraction 3/1.

Tags

CCSS.8.NS.A.1

Front

Is √2 a rational number?

Back

No, √2 is an irrational number because it cannot be expressed as a fraction.

Tags

CCSS.8.NS.A.1

Front

What type of decimal is a rational number?

Back

Rational numbers can be expressed as either terminating or repeating decimals.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

What type of decimal is an irrational number?

Back

Irrational numbers are represented by non-repeating, non-terminating decimals.

Tags

CCSS.8.NS.A.1

Front

True or False: A rational number can be written as a fraction.

Back

True.

Tags

CCSS.5.NBT.A.2

Front

True or False: Non-repeating, non-terminating decimals are rational numbers.

Back

False.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

Can natural numbers be expressed as fractions?

Back

Yes, natural numbers can be expressed as fractions (e.g., 5 = 5/1).

Front

What is an example of a rational number?

Back

Examples include 1/2, 3, -4, and 0.75.