Rational and Irrational Numbers

Square Roots

100

What are the square roots of 81?

9 and -9.

200

What two integers is the sqaure root of 87 between? 

9 and 10.

300

What is the square root of 170 rounded to the nearest hundreth?

13.04

400

WildCARD!!! Which of the following is irrational numbers: 6, 3/2, 18/0, 3.67686...., 7.121212......

3.67686....

500

Is the square root of 46 rational or irrational? Do NOT use a calculator.

Irratiional. BONUS. What is .78 repeating written as a fraction? Must show work, worth 500 points.

Rational Numbers

100

What type of decimals are considered rational numbers?

repeating and terminating decimals

200

What type of fractions are considered rational numbers?

any fraction where the denominator is NOT zero

300

Which of these numbers are Rational numbers: 6, 80, 3.5, 7/1, 8.1111111111....

All are rational numbers

400

Which of these numbers are NOT rational numbers? 56, 800.1, 5.131452..., 78/3, 3.1415...

5.131452 and 3.1415

500

Is the cube root of 64 rational or irrational? Do NOT use a calculator.

Rational. 4 cubed = 64. BONUS. What is 1.343 repeating, written as a fraction? Must show work and worth 1,500 points.

Irrational Numbers

100

True or False: 80% is irrational

False.

200

What type of decimals are considered irrational?

Decimals that go on forever and have no repeating pattern

300

Which of the following are considered irrational numbers: 19.3, 2.323232...., 46, 6.1425...., 0/67

6.1425......

400

Which of the are NOT irrational numbers? 17/3, 4.6354...., square root of 17, 8

17/3 and 8

500

Is .163163163163... rational? 

Yes. Bonus First group to convert to a fraction wins 1000 points. Must raise your hand and show your work.

Cube Roots

100

Name any perfect cube root.

Example answers... 1,8,27,64,125.

200

The cube root of 87 is between what two integers?

4 and 5.

300

Wildcard!!What are the perfect squares greater than 200, but less than 300. 

225,256,&289 

15²⁼225, 16²⁼256, 17² =289

400

What is the cube root of 35,937?

33

500

What is the cube root of 4,913?

17

Roots & Decimals

100

what is 0.66666... repeating as a fraction?

6/9

200

What 2 consecutive numbers does the square root of 30 fall in between?

5 and 6

300

To the nearest tenth, what is the square root of 80?

8.9

400

To the nearest hundredth what is the square root of 119?

10.91

500

Place the following numbers in order from least to greatest square root of 12, 4.3, square root of 18, 3, square root of 24

3, square root of 12, square root of 18, 4.3, square root of 24