logo for solving-math-problems.com
leftimage for solving-math-problems.com

10X(2+6) and (10X2)+6










































are these two expressions equivalent? and how would I explain how parenthese are used in this question?

Comments for 10X(2+6) and (10X2)+6

Click here to add your own comments

Nov 11, 2011
The Distributive Law
by: Staff



Question:

are these two expressions equivalent? and how would I explain how parentheses are used in this question?


Answer:

10X(2+6) and (10X2)+6


These two expressions are NOT equivalent.


You can use the Distributive Law to compare the two expressions:

The Distributive Property allows you to simplify an expression containing parentheses to an expression without parentheses.

10 * (2 + 6) = 10 * 2 + 10 * 6


The distributive law is often applied to mental math.


For example, multiply 5 times 723 without writing it down.

You can spit the 723 into three parts to make the problem easier.

5 * 723

= 5 * (700 + 20 + 3)

Splitting the number 723 into the three parts is called Decomposing the Multiplier.

Now multiply each part of the problem separately using the distributive law:


5 * (700 + 20 + 3)

= 5 * 700 + 5 * 20 + 5 * 3

= 3500 + 100 + 15


As a last step, add the three parts together:


3500 + 100 + 15

= 3615


The distributive law is not only important as an aid to arithmetic, is will be very important to you in solving algebra problems.





Thanks for writing.

Staff
www.solving-math-problems.com



Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Math Questions & Comments - 01.



Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com