The Real Numbers

Classify Numbers

Equations with roots

Roots

100

Counting numbers are also called...

Natural Numbers

100

RATIONAL OR IRRATIONAL? Explain your reasoning.

3.216

RATIONAL because it terminates.

100

x^2=121

What is 11, -11?

100

sqrt36=

6

200

Real Numbers are divided into 2 main sets:

Rational and Irrational Numbers

200

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

Natural, whole, integers, rational

RATIONAL, INTEGER

200

(x + 2)^2=16

2

200

+-sqrt25=

5, -5 or

+-5

300

Rational Numbers are rational because they can be expressed as __________

fractions and decimals

300

pi

IRRATIONAL

300

(x + 6)^2=24

x = -6 +- 2 sq root 6

300

root3(-8)=

-2

400

Irrational Numbers are so because they ...

never end and never repeat

400

RATIONAL OR IRRATIONAL? Explain your reasoning.

6^{2}

Rational because 36 is a whole number

400

sqrt36 + 2sqrt25

16

400

Estimate sqrt12 to the closest integer.

3

500

Give an example of an Integer

...

500

Is sqrt2/2 rational or irrational?

IRRATIONAL

500

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

6

500

Round to nearest thousandths

sqrt4587

67.727