I chose to do addition and multiplication.

You came to the right place to learn how to

add & multiply correctly with style!

Definitions

Addition: The process of adding.

Adding 2 or more addends ( 2+5=7; 2 and 5 are the addends)

to find the correct sum ( you probably know what this is).

Multiplication: The process of multiplying.

Multiplying 2 or more multiplicands (2x5=10; 2 and 5 are the multiplicands)

to find the correct product (you know this one already... Hopefully).

              Properties of Addition

• Closure Property: The sum of any 2 real numbers is a unique number.

For Example: 4+2 = 6

• Commutative Property: The order in which 2 numbers are added does not change the sum.

For Example: 5+2 = 2+5

• Associative Property: The way 3 numbers are grouped when adding does not change the sum.

For Example: (5+2)+4 = 5+(2+4)

• Identity Property: The sum of a number and  0 is the number.

For Example: 6+0 = 6

• Inverse Property: The sum of a number and its opposite is 0

For Example: 6+(-6) = 0

          Up above, we learned how to add numbers using the properties of addition.

          Similarly, it is sometimes necessary to multiply long strings of numbers without a calculator.

          This task is made easier by learning some of the properties of multiplication.

• Closure Property: The product of any 2 real numbers.
   

For Example: 2 x 4 = 8

• Commutative Property: The order in which 2 numbers are multiplied does not change the product.
   

For Example: 2 x 4=8 and 4 x 2=8

• Associative Property: The way you group 3 numbers when you multiply does not change the product.
   

For Example: (2 x 2) x 4 = 2 x (2 x 4)

• Identity Property: The product of a number and 1 is the number.
   

For Example: 1 x 2= 2

• Property of Zero: the product of a number and 0 is 0

For Example: 2 x 0= 0

• Property of Negative One: The product of a number and -1 is the opposite of the number.

For Example: 2 x (-1)= -2 

              *** Remember that an odd number of negative signs mean the product is negative.

                     -2 x 3 = -6;  2 x 3 = 6

              *** Remember that 1, 3, 5, 7, and 9 are some odd numbers.

          Links to other pages in this WIKI

• Nicholas's page -- Properties of Equality
• Daryl's page -- Distributive Property
• Ariana's page -- Adding multiDigit numbers
   

    Other cool math websites

• http://www.coolmath.com
• http://www.aaamath.com
• http://www.sparknotes.com/math

      Visitors!