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Properties of Addition and Multiplication

Commutative Property of Addition-Changing the order of two addends does not change thier sum.

a+b=b+a

Associative Property of Addition-Changing the grouping of three addends does not change thier sum.

(a+b)+c=a+(b+c)

Identity Property of Addition-The sum of any number and zero is the original number.

a+0=0 and 0+a=a

Commutative Property of Multiplication-Changing the order of two factors does not change their product.

a*b=b*a

Associative Property of Multiplication-Changing the grouping of three factors does not change thier product.

(a*b)*c=a*(b*c)

Identity Property of Multiplication-the product of any number and one is that number.

a*1=a and 1*a=a

Distributive Property-For all numbers a, b, and c,
a(b+c)=(a*b)+(a*c)
a(b-c)=(a*b)-(a*c)
AB
Commutative Property of Addition8+12=12+8
Commutative Property of Addition5+18=18+5
Commutative Property of Additionx+y=y+x
Commutative Property of Addition(b+2)+a=a+(b+2)
Commutative Property of Additionx+(y+z)=(z+y)+x
Commutative Property of Addition9+(8+0)=9+(8+0)
Commutative Property of Additionp+9=9+p
Associative Property of Addition(a+b)+c=a+(b+c)
Associative Property of Addition28+(13+48)=(28+13)+48
Associative Property of Addition9+(7+3)=(9+7)+3
Associative Property of Additionx+(y+z)=(x+y)+z
Associative Property of Addition[p+(q+1)]+r=p+[(q+1)+r]
Associative Property of Addition(w+x)+5=w+(x+5)
Associative Property of Addition2+(3+4)=(2+3)+4
Identity Property of Addition(0+q)+r=q+r
Identity Property of Addition7+0=0
Identity Property of Addition(17+85)+0=17+85
Identity Property of Addition12=0+12
Identity Property of Addition29+0=29
Identity Property of Additionp+3=(0+p)+3
Commutative Property of Multiplicationm*n=n*m
Commutative Property of Multiplication5*7=7*5
Commutative Property of Multiplication(8-2)*4=4*(8-2)
Commutative Property of Multiplication7(2+3)=(2+3)7
Commutative Property of Multiplication12(xy)=12(yx)
Commutative Property of Multiplication(23-14)2=2(23-14)
Associative Property of Multiplication(15*2)*6=15*(2*6)
Associative Property of Multiplicationa*(b*c)=(a*b)*c
Associative Property of Multiplication(7*2)*13=7*(2*13)
Associative Property of Multiplication(1*2)*3=1*(2*3)
Associative Property of Multiplication12(xy)=(12x)y
Associative Property of Multiplication(xy)z=x(yz)
Identity Property of Multiplication(2*1)=2
Identity Property of Multiplication1*8=8
Identity Property of Multiplication(15*1)x=15x
Identity Property of Multiplicationab=a(b*1)
Distributive Property(2*3)-(2*1)=2(3-1)
Distributive Property9(x+2)=(9*x)+(9*2)
Distributive Property(rs)-(rn)=r(s-n)
Distributive Propertya(b+5)=a*b-a*5
Mr. Bradley

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