Simplifying Multiplication Using Distributive Property

The Distributive property is a * (b + c) = (a * b) + (a * c). What that means is that if you’re multiplying a number by an expression which is the sum of two terms or numbers, you can distribute the term (a) into the expression. Of course you can always evaluate (b + c) and then multiply it by a but sometimes distributing a into the expression will help you in algebra or even number calculation. 

For example if you were multiplying 90 * 102, you could do the multiplication and get the answer. That would take some time. To save some time, you can use the distributive property as follows:

90 * 102 = 90 * (100 + 2) = (90 * 100) + (90 * 2) = 900 + 180 = 1080

There’s one more way that you can use the same property to simplify more complicated multiplications. Take the following example:

92 * 102 = (90 + 2) * (100 + 2)

This the same thing as (a + b) * (c + d) = ac + ad + bc + bc.

So you have to distribute both a and b into the second expression. And so the previous calculation becomes:

92 * 102 = (90 + 2) * (100 + 2) = (90 * 100) + (90 * 2) + (2 * 100) + (2 * 2) = 9000 + 180 + 200 + 4 = 9384

These articles are used by the author in a series of mathematics courses that will teach you mathematics from the sixth standard all the way up to 12th standard. The purpose of these courses are to help us understand mathematics so that you can use them professionally well. There is a road map that we have put together about the all the courses included, where to starts, etc. To know more about that and have access to those courses, please visit mathematics page on Great IT Courses. Thank you.

Author: John Raschedian

Web Developer

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