Question 1

Which of the following numbers is correctly written in scientific notation?

Accepted Answer

$$1.25 	imes 10^4$

Question 2

What is the coefficient in the scientific notation $$6.58 	imes 10$$^{12}$$?

Accepted Answer

$$6.58$$

Question 3

Convert $$0.000025 to $$scientific notation.

Accepted Answer

$$2.5 	imes 10$$^{-5}$$

Question 4

Which of the following is the correct standard notation for $$1.77 	imes 10^3$?

Accepted Answer

$$1770$$

Question 5

A hospital reports the number of bacteria in a sample as $$4.57 	imes 10^7$. What is this number in standard notation?

Accepted Answer

$$45700000$$

Question 6

Which of the following is NOT a correct rule for writing numbers in scientific notation?

Accepted Answer

The coefficient must be a whole number.

Question 7

Convert $$3.2 	imes 10$$^{-4}$$ to standard notation.

Accepted Answer

$$0.00032$$

Question 8

A scientist measures a cell diameter as $$1.1 	imes 10$$^{-5}$$ meters. What is this value in standard notation?

Accepted Answer

$$0.000011$$

Question 9

Which of the following numbers is NOT written in proper scientific notation?

Accepted Answer

$$0.98 	imes 10^3$

Question 10

A chemist records a mass as $$5.77 	imes 10^2$ grams. What is this mass in standard notation?

Accepted Answer

$$577$$

Question 11

Which step is necessary when converting a number from standard notation to scientific notation?

Accepted Answer

Move the decimal point so that the coefficient is between 1 and 10.

Question 12

A sample contains $$1.09 	imes 10^6$ molecules. How many molecules is this in standard notation?

Accepted Answer

$$1090000$$

Question 13

Which of the following is the correct scientific notation for $$0.00000052$$?

Accepted Answer

$$5.2 	imes 10$$^{-7}$$

Question 14

A biologist counts $$3.00 	imes 10^4$ cells in a sample. What is this number in standard notation?

Accepted Answer

$$30000$$

Question 15

Which of the following is the correct scientific notation for $$120000$$?

Accepted Answer

$$1.2 	imes 10^5$

Question 16

A solution contains $$0.00031$$ moles of a substance. Express this value in scientific notation.

Accepted Answer

$$3.1 	imes 10$$^{-4}$$

Question 17

Which of the following is the correct scientific notation for $$0.00000000977$$?

Accepted Answer

$$9.77 	imes 10$$^{-10}$$

Question 18

A researcher measures a distance as $$2.45 	imes 10$$^{-3}$$ meters. What is this value in standard notation?

Accepted Answer

$$0.00245$$

Question 19

Which of the following is the correct scientific notation for $$0.0000000000001$$?

Accepted Answer

$$1 	imes 10$$^{-12}$$

Question 20

A sample contains $$8.2 	imes 10^2$ particles. What is this number in standard notation?

Accepted Answer

$$820$$

Scientific Notation: Concepts, Conversions, and Practice

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