Study

Properties of Real Numbers

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0 0 0

What is the identity element of addition?

0

x(1/x) = 1

Multiplicative Inverse Property

5 + (a + b) = (a + b) + 5

Commutative Property of addition

ab = ba

Commutative Property of Multiplication

(1 + 2) + 3 = 1 + (2 + 3)

Associative property of addition

2 (1/2) = 1

Multiplicative inverse Property

a(bc) = (ab)c

Associative Property of multiplication

(a/b)(b/a) = 1

Multiplicative Inverse property

What is the multiplicative inverse of -3?

-1/3

a(c - b) = ac - ab

Distributive property

5(0) = 0

Zero Product Property

What is the identity element of multiplication

1

x + y = y + x

Commutative property of addition

2 + 0 = 2

Additive Identity Property

x + (-x) = 0

Additive Inverse Property

a(1) = a

Multiplicative Identity property

x(0) = 0

Zero Product Property

2(x+y) = 2x + 2y

Distributive Property

4 + (-4) = 0

Additive Inverse Property

z + (-z) = 0

Additive Inverse Property

What is the additive inverse of 5?

-5

2 + 3 = 3 + 2

Commutative Property of Addition

x(1) = x

Multiplicative Identity Property