Real Number System

Number Categories

100

What is the best classification for the number "2"? 

Natural

200

What is the best classification for the number "0"?

Whole

300

What is the best classification for the number "√220"?

Irrational

400

What is the best classification for the number "-59.88888888....."?

Rational

500

What is the best classification for the number "-√196"?

Integer

Square Roots

100

What is √81? 

9

200

What is √26?

5.1

300

What is √36?

6.8

400

What is -√95?

-9.7

500

What is √439?

20.9

Conversions

100

What is 1/2 as a decimal?

0.5

200

What is 0.73 as a fraction?

73/100

300

What is 7  3/8 as a decimal?

7.375

400

What is -5/9 as a decimal?

-0.55555555.....

500

What is -8.255 as a fraction? (Simplest Form)

-8  51/200

Word Problems

100

What are all of the categories that correctly classify the number "pi"?

Irrational and Real

200

Mr. Kramer is planting trees around the south side of his square yard. If the area of the yard is 81 ft², how long is his south side of his yard?

9ft

300

Mrs. Steward is attempting to draw the worlds most perfect square. She wants the square to have an area of 90ft² (the perfect area). Approximately how long do her square's sides have to be in order to create this square.

9.5

400

What are all of the categories that correctly classify the number "-25/5"? 

Integer, Rational, and Real

500

Mr. Ricker is trying to build a safety fence around the square pool on the third floor. The pool has an area of 169 ft². How many feet of fence does Mr. Ricker need to completely surround the perimeter of the pool?

52ft

Hodgepodge

100

What two numbers does the square root of 87 lie between?

9 and 10

200

evaluate 2 times the square root of 100

20

300

is 8/11 terminating or repeating

repeating

400

What determines if a number is irrational

- cannot be written as a fraction

- non repeating decimals

- non terminating decimals

500

What is the name for the BIGGEST classification of numbers? (all numbers are this)

Real