Properties of Numbers

Associative Property of Multiplication

Associative Property of Addition

Distributive Property

Commutative Property of Addition

$$yx=xy$$

$$xy-4\ =xy$$

$$7+y=y+7$$

$$x+y=y+x$$

$$a\left(b+c\right)=ab+ac$$

$$a+a+a=3\cdot\ a$$

$$\left(a+b\right)+3=a+\left(3+b\right)$$

$$a\cdot\ 1\ =\ a$$

$$7+0=7$$

$$5+\left(-5\right)=0$$

$$\left(3+8\right)+4=3+\left(8+4\right)$$

$$2+3=3+2$$

$$9\cdot\ 6=6\cdot\ 9$$

$$8\cdot\ 3=8+8+8$$

$$7\cdot\ 2-4\cdot\ \ 2=\left(7-4\right)\cdot\ \ 8$$

$$3\cdot\ 1=3$$

Identity Property of Addition

Associative Property of Addition

Commutative Property of Addition

Zero Property of Multiplication

$$x+0=x$$

$$x\cdot\ 1=x$$

$$x+9=9+x$$

$$\left(9+x\right)+y=9+\left(x+y\right)$$

$$4+x=x+4$$

$$a+b=b+a$$

$$ab=ba$$

$$3x+4y=4y+3x$$

Associative Property

Identity Property

Commutative Property

Zero Property

$$b\cdot\ 1=b$$

$$b+0=b$$

$$b\cdot\ 0=0$$

$$b\cdot\ 0=b$$