College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.2: 129

Answer

If we have a number N written in scientific notation, let us use the form $N=a*10^n$, in which $a$ is a number with an absolute value between $1$ and $10$ (and including $1$), and $n$ is an integer. To convert this to decimal notation, we must get rid of the factor $10^n$ and get a single number. We multiply $a$ by $10^n$, which basically means we are moving the decimal place in $a$ with $n$ positions to the left when $n$ is negative or the right when $n$ is positive. Here is an example: $N_1=4.781*10^4$. To convert this to decimal form, move the decimal point $4$ positions to the right to get the result $N_1=47810$.

Work Step by Step

This is how to convert from scientific notation to decimal notation.
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