Question 1

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

Accepted Answer

$$9.3 	imes 10^7$

Question 2

The mass of a carbon atom is $$0.0000000000000000000000199$$ grams. How would you write this number in scientific notation?

Accepted Answer

$$1.99 	imes 10$$^{-23}$$

Question 3

Which of the following statements about scientific notation is TRUE?

Accepted Answer

A negative exponent means the decimal point is moved to the right.

Question 4

Express $$0.000082 in $$scientific notation.

Accepted Answer

$$8.2 	imes 10$$^{-5}$$

Question 5

Which of the following numbers has exactly three significant figures?

Accepted Answer

$$0.0380$$

Question 6

How many significant figures are in the measurement $$0.05060$$?

Accepted Answer

5

Question 7

A student measures the mass of a sample as $$16.00 g. $$Which statement best describes the zeros in this measurement?

Accepted Answer

Both zeros are significant because they are after the decimal point.

Question 8

Which of the following is an example of an exact number?

Accepted Answer

The number of pencils in a box.

Question 9

Convert $$4.5 	imes 10$$^{-3}$$ mm to decimal notation.

Accepted Answer

$$0.0045$$\ mm

Question 10

Which of the following measurements is ambiguous in terms of significant figures?

Accepted Answer

$$420$$

Question 11

A student records the length of a pin as $$2.85 cm $$using a ruler marked every $$0.1 cm. $$How many significant figures does this measurement have?

Accepted Answer

3

Question 12

Which of the following numbers has four significant figures?

Accepted Answer

$$0.006800$$

Question 13

Express $$6,800,000 in $$scientific notation with two significant figures.

Accepted Answer

$$6.8 	imes 10^6$

Question 14

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

Accepted Answer

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

Question 15

A measurement is recorded as $$0.00380 g. $$How many significant figures does this value have?

Accepted Answer

4

Question 16

Which of the following is NOT a rule for determining significant figures?

Accepted Answer

Leading zeros are always significant.

Question 17

A scientist measures the temperature change as $$0.70$$ °C. How many significant figures are in this measurement?

Accepted Answer

2

Question 18

Which of the following conversion factors is considered exact and has an unlimited number of significant figures?

Accepted Answer

$$1\ 	ext{dozen} = 12$$

Question 19

A student writes $$5.0 	imes 10^2$ as their answer for the number of books in a library. What is the best reason this is incorrect?

Accepted Answer

The number of books is an exact count and should not be expressed with significant figures.

Question 20

A laboratory scale gives a reading of $$0.500 g. $$Which of the following best describes the certainty of this measurement?

Accepted Answer

The last zero is estimated, and the other digits are certain.

Measurement and Problem Solving: Scientific Notation and Significant Figures

Study Guide - Practice Questions