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What is 2.3 x 109 divided by 6.2 x 104 by using scientific notation and the quotient rule. Write answer in scientific notation rounded to two decimal places?

 Jan 16, 2015

Best Answer 

 #1
avatar+26400 
+5

What is 2.3 x 109 divided by 6.2 x 104 by using scientific notation and the quotient rule. Write answer in scientific notation rounded to two decimal places?

$$\samll{\text{
$
\frac{2.3 * 10^9 }{ 6.2 * 10^4 }
$
}}\\\\
\samll{\text{
$
=\frac{2.3 }{ 6.2} * 10^9 * 10^{-4}
$
}}\\\\
\samll{\text{
$
=\frac{2.3 }{ 6.2} * 10^{9-4}
$
}}\\\\
\samll{\text{
$
=\frac{2.3 }{ 6.2} * 10^{5}
$
}}\\\\
\samll{\text{
$
=0.37096774194 * 10^{5}
$
}}\\\\
\samll{\text{
$
=37.096774194 * 10^{3}
$
}}\\\\
\samll{\text{
$
=37.10 * 10^{3}
$
}}\\\\
\samll{\text{
$
\frac{2.3 * 10^9 }{ 6.2 * 10^4 } = 37.10 * 10^{3}
$
}}$$

 Jan 16, 2015
 #1
avatar+26400 
+5
Best Answer

What is 2.3 x 109 divided by 6.2 x 104 by using scientific notation and the quotient rule. Write answer in scientific notation rounded to two decimal places?

$$\samll{\text{
$
\frac{2.3 * 10^9 }{ 6.2 * 10^4 }
$
}}\\\\
\samll{\text{
$
=\frac{2.3 }{ 6.2} * 10^9 * 10^{-4}
$
}}\\\\
\samll{\text{
$
=\frac{2.3 }{ 6.2} * 10^{9-4}
$
}}\\\\
\samll{\text{
$
=\frac{2.3 }{ 6.2} * 10^{5}
$
}}\\\\
\samll{\text{
$
=0.37096774194 * 10^{5}
$
}}\\\\
\samll{\text{
$
=37.096774194 * 10^{3}
$
}}\\\\
\samll{\text{
$
=37.10 * 10^{3}
$
}}\\\\
\samll{\text{
$
\frac{2.3 * 10^9 }{ 6.2 * 10^4 } = 37.10 * 10^{3}
$
}}$$

heureka Jan 16, 2015

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