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Q&A #6059


Decimal expansion

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From: Ron (for Teacher2Teacher Service)
Date: Apr 02, 2001 at 06:29:23
Subject: Re: math

Hi Michelle:

First a few preliminaries based on the problem of displaying math via e-mail.

10^3 means 10 times 10 times 10 OR 10*10*10 OR 1000
3*4 means 3 times 4 OR 12
in the expression 3*10^1, the exponent part is done first OR 3*10 OR 30
10^0 by definition is equal to 1
10^(-3) is equal to .001

342.564 expressed as an expanded decimal would be:
3*100 + 4*10 + 2*1 + 5*.1 + 6*.01 + 4*.001
OR
3*10^2 + 4*10^1 + 2*10^0 + 5*10^(-1) + 6*10^(-2) + 4*10^(-3)

3.004 expressed as an expanded decimal would be:
3*1 + 0*.1 + 0*.01 + 4*.001
OR
3*10^0 + 0*10^(-1) + 0*10^(-2) + 4*10^(-3)

I hope these examples will help your son understand expanded decimals.

Cheers
 -Ron, for the T2T service



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