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### Multiplying by 1000

Date: 03/10/97 at 18:40:15
From: Peggy Suter
Subject: Math

What is two thousand five hundred forty two x one thousand and how did
you do it?

Date: 03/11/97 at 11:10:51
From: Doctor Mike
Subject: Re: Math

Dear Peggy,

Any time you multiply a number by 10 it moves the decimal point one
place to the right. Similarly, any time you divide a number by 10 it
moves the decimal point one place to the left.  Speaking of decimal
points, a whole number has a decimal point, even though it is
sometimes not written.  For your number, "2542" is the same as "2542."
which is the same as "2542.0000" , etc.

The reason is that 1000 is "ten times ten times ten" or 10 cubed,
so multiplying by 1000 is exactly the same as multiplying by 10 three
times.  With me so far?

Let's look at your problem :

2542 x 1000  =  2542.0000 x 10 x 10 x 10  =  2542000.0

So the answer is 2542000 , which is about 2 and a half million.
Sometimes larger numbers like this are written using commas
like  2,542,000  but this is not necessary.

-Doctor Mike,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/

Associated Topics:
Elementary Fractions
Elementary Multiplication

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