Properties of Algebra

1. Properties of Algebra By Nick Confer

2. Commutative Properties • Associative Properties • Identity Properties • Distributive Property • Equality Property • Inverse Properties

3. The commutative property is basicly moving around numbers only in addition and mutipulcation. Addition a+b=b+a Multipulcation ab=ba Example: 2+3X4=4X3+2 Commutative Properties

4. The associative property allows you to regroup numbers in addition and multiplication only. Addition a+(b+c)=(a+b)+c Multipulcation a(bc)=(ab)c Example: (1+2)+5=(2+5)+1 Associative Properties

5. The Identity Property says that adding 0 to any # or variable is the # or variable itself. It also says that multiplying any # or variable by 1 gets the # or variable itself. Addition a+0=a itself Multiplication a*1=a itself Example: 2+0=2 Itself Identity Properties

6. The distributive property is when multiplication gets distributed over addition. ab+ac=a(b+c) Example: 2x3+2x4=2(3+4) Distributive Property

7. The equality property says that if a=b then a is equal to b and a≠b a is not equal to b. a=b c≠0 Addition, then a+c=b+c Subtraction, then a-c=b-c Multiplication, then ac=bc Division, then a/c=b/c Equality Property

8. The inverse properties say the if you add the inverse of a # to itself it is equal to its identity. Addition a+(-a)= a’s identity Multiplication a+1/a= a’s identity Inverse Properties

9. Conclusion • Most to all of the properties Mrs. Brown’s class already knew how to do, but didn’t know the name. The End