Thursday, October 4, 2012

Multiplication Problems

Introduction to multiplication problems:
Multiplication – It is a repeated addition.
For example 2 * 3 = 6 this is nothing but 2+2+2 = 6 or 3+ 3 =6
The order of multiplication problems does not affect the answer.The answer will not be changed even though the performing order changed.
Distribution in multiplication problems 
            To multiply 4(10+5), we multiply 4*10 and 4*5, adding the result. Thus,
                             4(10+5) = (4*10) + (4*5)
                                           =40+20
                                           =60
This is nothing but the distributive property of multiplication.
It will be easy to do multiplication if we are well known with multiplication tables.
When we multiply two numbers, there is no matter which number is first or second but the answer will be same.

More on Multiplication Problems

Example 1:
Multiply 46 * 3
Solution:
First multiply the ones digit with 3 and next tens digit with 3
If we have any remainder carry to next digit and add with it
46 * 3 =138
Example 2:
Multiply 45 * 5
Solution:
First multiply the ones digit with 5 and next tens digit with 5
If we have any remainder carry to next digit and add with it
45 * 5 = 225
Example 3:
Multiply  100 * 39
Solution:

This multiplication problem is very simple
Just multiply 1*39 and add two zero at the end
So 3900 is the answer
Example 4:
Multiply  100 * 65
Solution:

This multiplication problem is very simple
Just multiply 1*65 and add two zero at the end
So 6500 is the answer.
Example 5:
Multiply:   66 1* 23
Solution:
      6 6 1
(*)    2 3
-------------
     1983
     1322
-------------
  1 5 203
------------

Example 6:
Multiply:  2546 * 121
Solution:

                      2 5 4 6
              (*)       1 2 1
          -------------------------
                  2 5 4 6
               5 0 9 2
           2 5 4 6
--------------------------------
          1 0 1 8 4
----------------------------------
Example 7:
Multiply 45 * 9
Solution:
First multiply the ones digit with 9 and next tens digit with 9
If we have any remainder carry to next digit and add with it
45 * 9 = 405
Example 8:
Multiply  100 * 65
Solution:

This multiplication problem is very simple
Just multiply 1*65 and add two zero at the end
So 6500 is the answer.
Example 9:
Multiply 83 * 6
Solution:
First multiply the ones digit with 6 and next tens digit with 6
If we have any remainder carry to next digit and add with it
83 * 6 = 498
Example 10:
Multiply  1000 * 869
Solution:

This multiplication problem is very simple
Just multiply 1*869 and add three zero at the end
So 869000 is the answer.

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