Rational, Irrational, Real Numbers

Which number is irrational?

• √45

• 3/8

Answer explanation

The number √45 is irrational because it cannot be expressed as a fraction. It is a non-repeating, non-terminating decimal.

Tags

CCSS.8.NS.A.1

which number is a rational number ?

• √3

• 1/4

Answer explanation

The number 1/4 is a rational number because it can be expressed as a fraction.

-17.5

• Rational

• Irrational

Answer explanation

The number -17.5 is a rational number because it can be expressed as a fraction. It is not an irrational number.

Tags

CCSS.7.NS.A.1D

.141414141414...

• Rational 

• Irrational 

Answer explanation

The number .141414141414... is a rational number because it can be expressed as a fraction. It is equal to 14/99, which is a ratio of two integers.

Tags

CCSS.8.NS.A.1

CCSS.7.NS.A.2D

• Irrational

• Rational

• Both Rational & Irrational

The Venn diagram shows the relationship among several sets of numbers. Indicate whether the following numbers are rational or irrational. \sqrt[]{3} ​ ​: ​​ ​ (a)   ​ \sqrt[]{9} : ​ ​ (b)  

• Irrational

• Rational

• Both Rational & Irrational

Which number is not rational?

• 0.33

• √15

• √25

• -7

Complete the sentence to identify the number that is NOT correctly placed in the Venn diagram. Move the correct answer into each box. Not all answers will be used. "The number __________ is not correctly placed in the Venn diagram. It should be moved to the set of __________."

​

​ (a)   ​ (b)   ​

• 0
• irrational numbers
• rational numbers
• whole numbers

Tags

8.2.A

Which numbers are NOT rational?

Tags

CCSS.8.NS.A.1

Let's start with a review. What type of number is 0.3033033303333....(the number continues in this pattern)?

• Integer

• Rational

• Irrational

• Imaginary