Roots & Irrational Numbers

The Real Numbers

100

Counting numbers are also called...

Natural Numbers

200

Real Numbers are divided into 2 main sets:

Rational and Irrational Numbers

300

Rational Numbers are rational because they can be expressed as __________

fractions and decimals 

400

Irrational Numbers are so because they ... 

never end and never repeat 

500

Give an example of an Integer 

 ... 

Classify Numbers

100

RATIONAL OR IRRATIONAL?  Explain your reasoning.

3.216

RATIONAL because it terminates.

200

What set(s) of numbers does  -sqrt81  fall into?

Natural, whole, integers, rational

RATIONAL, INTEGER

300

pi

IRRATIONAL

400

RATIONAL OR IRRATIONAL?  Explain your reasoning.

6²

Rational because 36 is a whole number 

500

Is sqrt2/2  rational or irrational?

IRRATIONAL

Equations with roots

100

x^2=121

What is 11, -11?

200

(x + 2)^2=16 

2

300

(x + 6)^2=24 

x = -6 +- 2 sq root 6

400

 sqrt36  +  2sqrt25

16

500

 If f(x) = 10 - sqrt x + 4 then f (12) = 

6

Roots

100

sqrt36=

6

200

+-sqrt25=

5, -5 or 

+-5

300

root3(-8)=

-2

400

Estimate sqrt12 to the closest integer.

3

500

Round to nearest thousandths 

 sqrt4587

67.727