Algebra Made Easy

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In algebra we have number of shortcuts to do the math in the smartest way. We can use this process in multiplication of numbers.
For example, ab is a number and cd is a number. To find the product, we first add ab + d and then can find the product of b and d. We can write the result in the unit place before ab+ d.  

Example 1: Find the product of 13 and 12 by hard way and smarter way.

Solution: First we need to discuss about the hard way. That is
                                   13
                              X   12
                                   2 6
                                1 3 x
                                1 5 6

So the product of 13 and 12 is 156.

Now we can discuss about smarter way to find the product of 13 and 12.

 First we can add the 13 and 2, its equals to 13 + 2 = 15.

But we can take 15 as 10’s digit and 100’s digit numbers. This means we need to fill units’ digit.

Next we can take the product of unit’s digits,
                              
That is 3 x 2 = 6

We can write the number 6

That number is 156.

Example 2: Find the product of 17 and 11 by hard way and smarter way.

Solution: We know 17 x 11 = 187

Now we can discuss about smarter way to find the product of 17 and 11.

 First we can add the 17 and 1, its equals to 17 + 1 = 18.

But we can take 18 as 10’s digit and 100’s digit numbers. This means we need to fill units’ digit.

Next we can take the product of unit’s digits,        
                       
That is 7 x 1 = 7

We can write the number 7

That number is 187.
 

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