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

Study Guide - Practice Questions