Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.1 - Exponents and Scientific Notation - Exercise Set: 139

Answer

Step 1: Move the decimal point in the number until you obtain a value between 1 and 10. Step 2: Count the number of decimal places the decimal has moved from the original number to the new number from step 1. Step 3: Write in scientific notation using the formula $a\times10^{r}$. $a$ represents the decimal value between 1 and 10. $r$ is the number of places your decimal has moved. If the decimal has moved to the left, $r$ is positive. If the decimal has moved to the right, $r$ is negative.

Work Step by Step

Ex. Convert $354,000,000$ into scientific notation The decimal in $354,000,000$ is located after the last zero. To make the number a number between 1 and 10, we must move the decimal 8 places to the left. This leaves us with $3.54$. Now we must display the given number in scientific notation. $a$ is $3.54$ $r$ is $8$ $3.54\times10^{8}$ We can check our work by inputting this into our calculator, which leaves us with the standard form of $354,000,000$.
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