Q&A #19470

Teachers' Lounge Discussion: Algebraic thinking in grade 5

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From: Loyd

To: Teacher2Teacher Public Discussion
Date: 2009020211:51:06
Subject: Re: expanded notation

On 2008092420:26:52, jon wrote:
>What is the expanded notation of
> please help
>  thank you

You can go to Google or Yahoo and search for expanded notation and
probably find your answer.  

Just remember that starting from the right of 675,511 the least
significant digit is 1 unit, the next is 1 ten, the next is 5 100s,
the next is 5 1000s, the next is 7 10000s and the last is 6 100000s. 
Thus we write:  6x100000 + 7x10000+5x1000+5x100+1x10+1x1.  If you
solve the last expression with a calculator, you will see that 
6x100,000 + 7x10,000+5x1,000+5x100+1x10+1 equals 675,511.  

Somewhere back in elementary school, my teacher made us stand up and
say:  units, tens, hundreds, thousands, ten thousands, 100 thousands,
millions etc.  It doesn't take long to get the idea.  Going the other
way from the Least significant digit(to the right of the decimal
point), you have tenths, hundredths, thousandths, ten thousandths etc.

So if you were asked to put a decimal such as .456 in expanded
notation, it would be:  4/10 + 5/100 + 6/1000.  

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