The Properties of:

By: Robert S.

Introduction

There are many different properties of algebra, and in this slide show I will go over just a few.

Some of these properties are: The Commutative Property The Distributive Property The Inverse Property

Commutative Property…

OF MULTIPLICATION OF ADDITION

The commutative property of multiplication says that changing the order of the numbers will not change the answer when the problem is all multiplication.

Example: 6*5=30 5*6=30

The commutative property of addition says that changing the order of the numbers will not change the answer when the problem is all addition.

Example: 7+2=9 2+7=9

Associative property…

OF ADDITION OF MULTIPLICATION

The associative property of addition says that if the problem is all addition it doesn’t matter where the parentheses are, the answer will still be the same.

Example: (7+2)+3=12 7+(2+3)=12

The associative property of multiplication says that if the problem is all multiplication, it doesn’t matter where the parentheses are, the answer will still be the same.

Example: (8*3)*2=48 8*(3*2)=48

Identity Property...

OF MULTIPLICATION OF ADDITION

The identity property of multiplication says that anything times one equals itself.

Examples: 1234567890*1=12345

67890 9876543210*1=98765

43210

The identity property of addition says that anything plus zero equals itself.

Examples: 1357908642+0=1357

908642 1470852369+0=1470

852369

The distributive Property

The distributive property says that when doing a problem, like 4*(2+3), 4 distributes over 2 and 3, and the problem can be interpreted like 4*2+4*3, and the answer will still be the same as if you wrote the problem as 4*(2+3)!

Equality Property of Addition, Subtraction, Multiplication, and Division

The equality property says that if you add, subtract, multiply, or divide the same number to each side of the equation, the equation will still be true.

Inverse Property…

OF ADDITION: OF MULTIPLICATION:

The additive inverse of a number is it’s opposite, and when it is added to the original number, it will equal zero. Example: 5+(-5)=0

The multiplicative inverse of a number is a fraction that when the number is multiplied by it, the answer is one. Example: 5*(1/5)=1