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MATH-PRE ALGEBRA - Properties of Numbers

by JENNY LAR
(CERES, CA)











































I AM A BEGINNER AT MATH IT IS NOT MY FAVORITE SUBJECT. NEED HELP STEP BY STEP ON HOW TO FIND WHICH PROPERTY IS REPRESENTED 12.14=14.12

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Aug 24, 2011
Properties of Numbers
by: Staff


The question:

by JENNY LAR
(CERES, CA)


I AM A BEGINNER AT MATH IT IS NOT MY FAVORITE SUBJECT. NEED HELP STEP BY STEP ON HOW TO FIND WHICH PROPERTY IS REPRESENTED 12.14=14.12


The answer:

You are asking a very interesting and important question which goes straight to the heart of why our number system is so practical in everyday life:

12*14=14*12

12 multiplied by 14 gives the same result as 14 multiplied by 12

Your example demonstrates a property called the “Commutative Property of Multiplication”.

Any two numbers can be multiplied in either order without changing the results. This is true for all real numbers (including: fractions, decimals, and negative numbers).

Of course you already knew that because you have been multiplying numbers all your life with no problem at all.

Look at it this way: our number system is so practical and easy to use that you probably didn’t even notice the built in advantage of being able to multiply numbers in any order, and still get the same result.

And . . . there are a lot of other fascinating advantages to the numbers we use. For example, our number system is a place value system: an extremely efficient system of writing numbers when compared with other systems (far superior to Roman Numerals, for example). But . . . that is a discussion for another time.



Thanks for writing.

Staff
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