Classifying Real 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.

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 or ratio. Its decimal representation goes on forever without repeating.

Tags

CCSS.8.NS.A.1

Front

Give an example of an irrational number.

Back

Examples of irrational numbers include √2, π (pi), and e (Euler's number).

Tags

CCSS.8.NS.A.1

Front

What kind of decimals are irrational?

Back

Those that never end and have no pattern.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

Can a rational number be negative?

Back

Yes, rational numbers can be positive or negative.

Front

Can a rational number be a decimal?

Back

Yes, rational numbers can be expressed as decimals, either terminating or repeating.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

What is the opposite of a real number?

Back

The opposite of a real number is an imaginary number.

Tags

CCSS.HSN.CN.A.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.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal that has one or more digits that repeat infinitely.

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

Can all integers be classified as rational numbers?

Back

Yes, all integers are rational numbers because they can be expressed as a ratio of themselves to 1.