Simplifying radicals numbers
Order of Operations
Real Number System
Radicals
Number Properties
100
Simplify √45
3√5
100

40 - 32 div 8 + 5 * (-2)

-26

100

List the order of categories of the Real Number System.

Rational or Irrational

Integers

Whole Numbers 

Natural Numbers

100

Simplify:

sqrt64

8

100

Name the Property:

6m * 1 = 6m

Identity Property

200
Simplify √75
5√3
200

(4-7)^2-6*7 +20

-13

200

What is the ONLY number that is a whole number, but NOT a natural number. 

0

200

Simplify:

sqrt2 + sqrt2

2 sqrt2

200

3 * 1/3 = 1

Inverse Property

300
Simplify 2√12
4√3
300

2[18-(5+3^2)div7]

32

300
Give me an example of a number from EACH category. 

* There are 5 total categories

Answers Vary

300

Simplify:

10 sqrt7 + 2sqrt63

16 sqrt7

300

Name the Property:

(4y + 1) * 0 = 0

Property of Zero

400

Simplify √384 

8√6

400

(2^5 div8+3)/(4+3)

1

400

What is the smallest subset that the following number falls into?

1.33333...

Rational - Repeating Decimal

400

Simplify:

-3 sqrt28 + 8 sqrt3 - sqrt300 + 7sqrt112

22 sqrt7 - 2 sqrt3

400

Name the Property:

If 

5 * 2 = 10 and 10 = sqrt100, then 5*2 = sqrt100

Transitive Property

500

Simplify √108

6√5

500

- abs(-16) div (3^2 - 4)/(5-10)

16

500

What is the smallest subset the following number falls into?

(2pi)/(pi)

Natural
500

Simplify:

-4 sqrt2 (sqrt6 + 3 sqrt14) 

-8 sqrt3 - 24 sqrt7

500

Solve and name which properties you used:

8(1) + 0 - 8

1. Identity Property

2. Property of Zero or Identity Property

3. Additive Inverse