Classifying Rational and Irrational Numbers

Can a number be both rational and irrational?

• Depends on the number.

• Only in special cases.

• No, it must be one or the other.

• Yes, it can be both.

Tags

CCSS.HSN.RN.B.3

What makes a number rational?

• It has a repeating decimal sequence.

• It cannot be expressed as a fraction.

• It is a square root of a non-perfect square.

• It cannot be written as a decimal.

Tags

CCSS.6.NS.C.6

Which of the following is an example of a rational number?

• Non-terminating, non-repeating decimal

• 5/8

• Square root of 24

• Pi (π)

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

How can repeating decimals be classified?

• Irrational

• Rational

• Neither rational nor irrational

• Both rational and irrational

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is a characteristic of a decimal that terminates?

• It is irrational.

• It cannot be expressed as a fraction.

• It is rational.

• It has an undefined value.

Tags

CCSS.8.NS.A.1

Which of the following numbers is classified as rational?

• e (Euler's Number)

• Square root of 20

• Square root of 25

• Pi (π)

Tags

CCSS.8.NS.A.1

What characteristic do irrational numbers have?

• They have non-repeating, non-terminating decimals.

• They are always whole numbers.

• They can be made into fractions.

• They repeat after a certain point.

Tags

CCSS.8.NS.A.1

Which of the following is an irrational number?

• Square root of 16

• 0.333...

• Square root of 23

• 2/3

Tags

CCSS.8.NS.A.1

Which example indicates a number is irrational?

• A repeating decimal

• A fraction

• A decimal that does not repeat or terminate

• A perfect cube's cubic root

Tags

CCSS.8.NS.A.1

What does a non-repeating, non-terminating decimal signify?

• The number can be both rational and irrational.

• The number is irrational.

• The number is a perfect square.

• The number is rational.

Tags

CCSS.8.NS.A.1