| A | B |
|---|
| Property | a rule or law of mathematics |
| Commutitive propert of Addition | changing the order of the addends does not change the sum EX: 2+(3+4)=(3+4)+2 or a+b=b+a |
| Commutative Property of Multiplication | changing the order of the factors does not change the product EX: 2(3x4)=(3x4)2 or ab=ba or 2(3)=3(2) |
| Associative Property of Addition | Regrouping the addends does NOT change the sum 2+(3+4)=(2+3)+4 or (a+b)+c=a+(b+c) |
| Associative Property of Multiplication | regrouping the factors does NOT change the product EX: 2(3x4)=(2x3)4 or a(bc)=(ab)c |
| Distributive Property | the property of a number and the sum of two other numbers equals the sum (or difference) of the products of the number and each other number EX: 6(a+3)=(6xa)+(6x3) or 5(3-7)=(5x3)-(5x7) or 3a+3b=3(a+b) |
| Additive Identity Property | The sum of any real number and zero is equal to the given real number EX: a+0=a or 0+0.23=0.23 |
| Multiplicative Identity Property | The product of any real number and one is equal to the given real number EX: 1xc=c or 0.93x1=0.93 |
| Additive Inverse Property | The sum of a number and its additive inverse always equals zero EX: 8+(-8)=0 or (-0.25)+0.25=0 |
| Multiplicative Inverse Property | The product of a number and its multiplicative inverse always equals one EX: 4x 1/4=1 or 3/4x4/3=1 |
| Multiplicative Property of Zero | The product of any real number and zero is zero EX: (3+5)0=0 or 654x0=0 |
