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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