Q: Which of the following is equivalent to $\frac{6.5 \times 10^{-8}}{1.3 \times 10^{-6}}$?

$\frac{6.5}{1.3} \times 10^{-8 - (-6)}$

Question 1

Simplify the following expression and write your answer in scientific notation:

$
\frac{6.5 	imes 10^{-8}}{1.3 	imes 10^{-6}}
$

Accepted Answer

$5.0 	imes 10^{-2}$

Question 2

If you multiply $6.5 	imes 10^{-8}$ by $1.3 	imes 10^{-6}$, what is the result in scientific notation?

Accepted Answer

$8.45 	imes 10^{-14}$

Question 3

Which of the following is the correct way to express the quotient $\frac{6.5 	imes 10^{-8}}{1.3 	imes 10^{-6}}$ in scientific notation?

Accepted Answer

$5.0 	imes 10^{-2}$

Question 4

A scientist divides $6.5 	imes 10^{-8}$ grams by $1.3 	imes 10^{-6}$ grams. What is the result in scientific notation?

Accepted Answer

$5.0 	imes 10^{-2}$

Question 5

Which of the following steps is correct when simplifying $\frac{6.5 	imes 10^{-8}}{1.3 	imes 10^{-6}}$?

Accepted Answer

Divide $6.5$ by $1.3$ and subtract the exponents: $-8 - (-6)$

Question 6

What is the value of $\frac{6.5 	imes 10^{-8}}{1.3 	imes 10^{-6}}$ expressed as a decimal?

Accepted Answer

$0.05$

Question 7

If you have $6.5 	imes 10^{-8}$ liters of a solution and you want to distribute it equally into $1.3 	imes 10^{-6}$ liter containers, how many containers can you fill?

Accepted Answer

$5.0 	imes 10^{-2}$

Question 8

Which of the following is equivalent to $\frac{6.5 	imes 10^{-8}}{1.3 	imes 10^{-6}}$?

Accepted Answer

$\frac{6.5}{1.3} 	imes 10^{-8 - (-6)}$

Question 9

A medical researcher needs to dilute a solution from $6.5 	imes 10^{-8}$ M to $1.3 	imes 10^{-6}$ M. What is the dilution factor in scientific notation?

Accepted Answer

$5.0 	imes 10^{-2}$

Question 10

Which of the following is the correct scientific notation for the product $6.5 	imes 10^{-8} 	imes 1.3 	imes 10^{-6}$?

Accepted Answer

$8.45 	imes 10^{-14}$

Scientific Notation: Division of Numbers in Exponential Form

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