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18 Cards in this Set

  • Front
  • Back
The Distributive Property of Multiplication over Addition
c(a+b)= ca+cb.
or
1(2+3)= (1*2)+(1*3)
2 + 3 =5
The Distributive Property of Multiplication over Subtraction
c(a-b) = ca-cb
or
3(2-1) = (3*2)-(3*1)
6 - 3 = 3
The Distributive Property of Multiplication over Subtraction
c(a-b) = ca-cb
or
3(2-1) = (3*2)-(3*1)
6 - 3 = 3
Multiplication Property of -1
a* -1 = -1*a = -a
or
2*-1 = -1*2= -2
Oppisite Sum of a Property
-(a+b)= -a + (-b) = -a - b
or
-(1+2)= -1 + (-2) = -1 - 2
Oppisite Sum of a Difference Property
-(a-b) = -a +b
or
-(3+4) = -3 +4
Additon Property of Equality
if a=b then a+c= b+c
or
if 1=1 then 1+2= 1+2
Subtraction Property of Equality
if a=b then a-c= b-c
or
if 2=2 then 2-1= 2-1
Related Facts Property of Addition and Subtraction
if a+b=c then b+a=c
..c-b=a and c-a=b
or
if 1+2=3 then 2+1=3
..3-2=1 and 3-1=2
Additive Identity Property
a+0= 0+a =a
or
4+0= 0+4 =4
Additive Inverse Property
a+ -a = -a +a= 0
or
5+ -5 = -5 +5= 0
Multiplication Property of Equality
if a=b then ca= cb
or
if 2=2 then 7*2 = 7*2
Division Property of Equality
if a=b then a/c = b/c
or
if 3=3 then 3/5 = 3/5
Related Facts Property of Multiplication and Division
if ab=c then ba=c.. c/b=a and c/a=b
or
if 2*3=6 then 3*2=6.. 6/3=2 and 6/2=3
Multiplication Property of Zero
a*0= 0*a= 0
or
2*0= 0*2= 0
Zero Product Property
If the product or two real numbers a and b is 0 then a=0 or b=0 or both a and b equal 0.
Multiplicitive Identity Property
a*1= 1*a = a
or
4*1= 1*4 = 4
Multiplicitive Inverse Property
a* 1/a= 1/a * a = 1
or
3* 3/1= 3/1 * a = 1