Properties of Real Numbers

$$x+9+123$$  

$$\left(123+x\right)+9$$  

$$\left(5+x\right)+7$$  

$$x+\left(5+7\right)$$  

$$7+\left(5+x\right)$$  

$$x-x=0$$

$$x+3=3$$

$$x\cdot1=x$$

$$x+-x=0$$

$$x\cdot1=x$$

$$a+x=x+a$$

$$3-0=3$$

$$6+0=6$$

$$1-1=0$$

$$9\cdot0=0$$

Yes

No

commutative property of multiplication

identity property of multiplication

inverse property of multiplication

associative property of multiplication

Identity of addtion

commutative of addition

associative of addition

symmetric

Associative Property

Commutative Property

Additive Identity

Distributive Property

11 + (8 + 3) = 11 + (3 + 8)

(20 + 0.5) + 3 = 20 + (0.5 + 3)

5(7 + 2) = 5(7) + 5(2)

3 x (5 x 4) = (3 x 5) x 4

2(n + 2)

n2 + 4

4 + 2n

2n + 4

b + c + a = a + b + c

a(b + c) = ab + ac

a ⋅ b = b⋅ a

a ⋅ 1 = a

Associative

Commutative

Inverse

Identity

Associative

Commutative

Inverse

Identity

Commutative

Associative

Inverse

Identity

Associative Property of Multiplication

Commutative Property of Multiplication

Identity Property of Multiplication

Associative Property of Addition

Associative Property of Addition

Distributive Property

Transitive Property

Identity Property

4 x(1 _^x 2) = (4 x 1) x 2

2 x 2 = 4 x 1

2(3) = 2(4)

3 x 4 = 4 x 3

5 + 2 = 2 + 5

7(1 + b) = 7(1) + 7(b)

y+(x+4) = (y+x)+4

1 x 2 x 3 = 3 x 2 x 1

3x & 3

4x & x²

5x & 5y

2x² & -3x²

$$x+6$$  

$$x^2+6$$  

$$-3x^2+4x\ +6$$  

$$3x^2+4x+6$$  

$$-4$$  

$$\$$   $$4x^{2\ }+4x-12$$  

$$4x^2+4x+12$$  

$$8x^2+4x+12$$