Math and Multplication

Introduction to math multiplication:

Multiplication (symbol "×") is the mathematical operation of scaling one number by another. It is one of the four basic operations in elementary arithmetic (the others being addition, subtraction and division). (Source from Wikipedia)

For example:

2*4 = 2*2*2*2 = 8

Here we are going to study about different method s of multiplication in math and its example problems.

Example Problems for Math Multiplication:

Example: 1

Multiply the following integer

23*46

Solution:

Here we have to perform simple normal math multiplication

2 3

4 6 *

-----------------

1 3 8          (6 multiply with 23 we get 138)

9 2             (4 multiply with 23 we get 92)

-----------------

1 0 5 8         (Add both the numbers we get final answer)

-----------------

There fore the final answer is 1058.

Example: 2

Multiplication of binomial

(2x+3) (3x+3)

Solution:

Here we have two binomial terms

First we take the first term 2x multiply with other terms

6x2 + 6x

Next term 3

9x+ 9

Combine the like terms we get

= 6x2 + 6x+ 9x+ 9

= 6x2+15x+9

Therefore the final answer is 6x2+15x+9

Example: 3

Multiplication of exponential

Solve 2x3y4.3x4.2y3

Solution:

We know the multiplication property of exponents

am.an = a ( m+n)

Combine the like terms first

2x3 3x4 y4 2y3

2*3 x (3+4) .2y(4+3)

Simplify the above expression we get

6x7.2y7

Therefore the final answer is 6x7.2y7

Example: 4

Fraction multiplication

`(3/4)` * `(2/4)`

First we have to multiply the numerator

3*2 = 6

Next multiply the denominator we get

4*4 = 16

= `6/16`

The simplest fraction is `3/8`

Therefore the final answer is `3/8`

Example for Math Multiplication: 5

Find the area of rectangle with base 8 meter and height 6 meter.

Solution:

We know that area of rectangle is multiplication base and height

Area = base * height

Substitute base and height value in the above formula we get

Area = 8 * 6 =48 meter square

Therefore area of given rectangle is 48 meter square.