$$3 \times 10$$^{-7}$$\ \text{cm}$

$$6.8 \times 10$$^{4}$$\ \text{kg}$

$$8 \times 10$$^{-5}$$\ \text{m}$

Question 1

Which of the following is the correct scientific notation for the number 0.000 008?

Accepted Answer

$$8 	imes 10$$^{-6}$$

Question 2

A typical human scalp has about 100,000 hairs. Which of the following correctly expresses this number in scientific notation?

Accepted Answer

$$1 	imes 10$$^{5}$$

Question 3

Which of the following statements about scientific notation is TRUE?

Accepted Answer

The coefficient must be at least 1 but less than 10.

Question 4

Convert the standard number 0.000 021 to scientific notation.

Accepted Answer

$$2.1 	imes 10$$^{-5}$$

Question 5

A chickenpox virus has a diameter of 0.000 000 3 cm. What is this value in scientific notation?

Accepted Answer

$$3 	imes 10$$^{-7}$$\ 	ext{cm}$

Question 6

Which of the following is the correct scientific notation for the mass of a human, given as 68,000 kg?

Accepted Answer

$$6.8 	imes 10$$^{4}$$\ 	ext{kg}$

Question 7

A calculator displays the number 5.2E-04. What is this number in standard notation?

Accepted Answer

$$0.00052$$

Question 8

If the diameter of the Earth is $$1.28 	imes 10$$^{7}$$ m, how would you write this number in standard notation?

Accepted Answer

$$12,800,000$$\ 	ext{m}$

Question 9

Which of the following is NOT a correct way to write a number in scientific notation?

Accepted Answer

$$0.8 	imes 10$$^{6}$$

Question 10

A laboratory sample has a mass of $$7.2 	imes 10$$^{6}$$ g. What is this mass in standard notation?

Accepted Answer

$$7,200,000$$\ 	ext{g}$

Question 11

A student enters 0.000 64 into a calculator and wants to express it in scientific notation. What is the correct answer?

Accepted Answer

$$6.4 	imes 10$$^{-4}$$

Question 12

Which of the following best describes the process for converting a standard number to scientific notation?

Accepted Answer

Move the decimal point to create a coefficient between 1 and 10, then multiply by 10 raised to the number of places moved.

Question 13

A calculator displays 1.52E2. What is the value in standard notation?

Accepted Answer

$$152$$

Question 14

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

Accepted Answer

$$4.5 	imes 10$$^{3}$$

Question 15

A scientist measures the width of a cell as $$8 	imes 10$$^{-6}$$ m. If another cell is 10 times wider, what is its width in scientific notation?

Accepted Answer

$$8 	imes 10$$^{-5}$$\ 	ext{m}$

Question 16

A calculator displays 7.2E7. What is the value in standard notation?

Accepted Answer

$$72,000,000$$

Question 17

Which of the following is the correct scientific notation for the number 0.000 000 86?

Accepted Answer

$$8.6 	imes 10$$^{-7}$$

Question 18

A student writes $$24 	imes 10$$^{2}$$ as the scientific notation for 2400. What is the error in this notation?

Accepted Answer

The coefficient should be between 1 and 10; it should be $$2.4 	imes 10$$^{3}$$.

Scientific Notation in Chemistry: Writing and Interpreting Numbers

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