Properties of Real Numbers
Subsets of Real Numbers
Classify Real Numbers
Properties Part 2
Closed or Not Closed
100

-5 = -5

Reflexive Property

100

{1,2,3,...........}

What is the set of Natural Numbers?

100

-1.4583

R, Q

100

g = k so k = g

Symmetric Property

100

Integers are closed under multiplication

True

200
a x 0 = 0
What is zero property of multiplication?
200
{........ -2, -1,0,1,2,3,..........}
What is set of integers?
200

15

R, Q, Z, W, N

200

1 x 34 = 34

Identity Property

200

Integers are closed under division 

False

300
7 + 0 = 7
What is identity property of addition?
300
{0,1,2,3,4,...............}
What is set of whole numbers?
300

square root of 57

R, I

300

8 + (-8) = 0

Inverse Property

300

Natural numbers are closed under subtraction

False

400
75 + 6 = 6 + 75
What is the Commutative Property of Addition?
400

Decimals that never end or repeat

What is set of irrational numbers?

400

-3

R, Q, I

400

3(x+9) = 3x + 27

Distributive Property

400

Odd numbers are closed under addition

False 

500
(9 x 4) x 12 = 9 x (4 x 12)
What is Associative property of multiplication?
500

All fractions and decimals that do end or repeat

What is set of rational numbers?

500

square root of 16

R, Q, Z, W, N

500

a = 8, 8= n, so a=n

Transitive Property

500

Irrational Numbers are closed under multiplication

False 

M
e
n
u