Symbols and Sets
Fractions & Mixed Numbers
Order of Operations
Properties of Real Numbers
Potpourri
100

This represents what set of numbers: {1, 2, 3, 4, 5, ...} 

What is Natural Numbers

100

This is 120 as a product of prime factors.

 

What is 

2times2times2times3times5

100

This expression simplifies to:  6cdot3^2+2cdot8 

What is 70

100

Written another way, this illustrates the Commutative Property:  19+3y 

What is 

3y+19

100

This illustrates what property of Real Numbers:  1cdot9=9 

What is the identity element of multiplication

200

This represents what set of numbers:  {..., -3, -2, -1, 0, 1, 2, 3,...} 

What is Integers

200

This represented in lowest terms: 7/15+5/6 

What is 

13/10

200

This expression simplifies to : 8+3(2cdot6-1) 

What is 41

200

Written another way, this illustrates the Associative Property:  6+(r+s) 

What is 

(6+r)+s

200

This is an example of what category of Real Numbers: sqrt(10) 

What is 

Irrational Numbers

300

This is the definition of what set of numbers:

{a/b|a and b\ are\ i\n\teg\ers and bne0}

What is Rational Numbers

300

This represented in lowest terms:  7\1/6-2\2/3 

What is 

4\1/2

300

This expression simplifies to:  (4+abs(6-2)+8^2)/(4+6cdot4) 

What is 

18/7

300

This is the property used to remove the parenthesis in the expression  11(y-4) 

What is the Distributive Property

300

This is the algebraic expression for "The difference of twenty and twelve is equal to the product of two and four"

What is  20-12=2*4 

400

These are the rational numbers in the set {-2,0,1/4,-1.5,112,-3,11,sqrt(2)} 

What is 

{-3,-2,-1,5,0,1/4,11,112}

400

The result of 

5div1/3

What is 15

400

This simplifies to:  (16+abs(13-5)+4^2)/(17-5) 

What is 10/3

400

This is the expression  25x+25y written as a sum using the Distributive Property

What is 

25(x+y)

400

This is the determination of whether 3 is a solution to: 7x-3=18 

What is yes

500

This represents what set of numbers:  {0, 1, 2, 3, 4, 5, ...} 

What are Whole Numbers

500

This is the result of  8/11-1/4+1/2 

What is 

43/44

500

This simplifies to : 2+3[10(4cdot5-16)-30] 

What is 32

500

This is an example of what p

6cdot1/6=1

roperty of Real Numbers:

What is the Multiplicative Inverse Property

500

This is the property of Real Numbers illustrated by: triangle+(square+odot)=(square+odot)+triangle 

What is the commutative property of addition