Question 1

Which of the following numbers is correctly written in scientific notation with the correct number of significant figures for the measurement 0.00000400 L?

Accepted Answer

$$4.00 	imes 10$$^{-6}$$

Question 2

A student measures the mass of a ring to be 5.84 g. If the ring is platinum with a density of $$21.4 \ \mathrm{g/mL}$$, what is the volume of the ring in mL, rounded to the correct number of significant figures?

Accepted Answer

$$0.273 \ \mathrm{mL}$$

Question 3

Which of the following measurements contains exactly three significant figures?

Accepted Answer

0.00500

Question 4

Convert 534 mL to liters using the metric number line.

Accepted Answer

$$0.534 \ \mathrm{L}$$

Question 5

A piece of paper measures 8.5 in by 11 in. What is the area in $$\mathrm{cm}^2$$? (Use $$2.54 \ \mathrm{cm} = 1 \ \mathrm{in}$$ and round to the correct number of significant figures.)

Accepted Answer

$$600 \ \mathrm{cm}^2$$

Question 6

Which of the following is the correct rule for determining the number of significant figures in the result of a multiplication or division?

Accepted Answer

The result should have the same number of significant figures as the measurement with the fewest significant figures.

Question 7

A student measures the length of a container to be 6.50 cm. How many feet is this? (Use $$2.54 \ \mathrm{cm} = 1 \ \mathrm{in}$$ and $$12 \ \mathrm{in} = 1 \ \mathrm{ft}$$, round to correct sig figs.)

Accepted Answer

$$0.213 \ \mathrm{ft}$$

Question 8

Which of the following is an example of a conversion factor that is considered infinitely precise in this course?

Accepted Answer

$$1000 \ \mathrm{mL} = 1 \ \mathrm{L}$$

Question 9

A dog can sprint at $$10 \ \mathrm{m/s}. $$How many miles per hour is this? ($$1 \ \mathrm{mi} = 1609 \ \mathrm{m}$$, $$1 \ \mathrm{hr} = 3600 \ \mathrm{s}$$, round to 2 sig figs.)

Accepted Answer

$$22 \ \mathrm{mi/hr}$$

Question 10

Which of the following best describes the difference between mass and weight?

Accepted Answer

Mass is the amount of matter in an object, while weight is the force of gravity acting on that mass.

Question 11

A student adds three measurements: 5.1 cm, 3.0 cm, and 8 cm. What is the correct sum, rounded according to the rules for significant figures?

Accepted Answer

16 cm

Question 12

Which of the following is the correct density formula, and what are the typical units used in chemistry?

Accepted Answer

$$\mathrm{Density} = \frac{\mathrm{mass}}{\mathrm{volume}}$$, units: $$\mathrm{g/mL}$$

Question 13

If you have 35 mL of water, how many grams do you have? (Assume the density of water is $$1.0 \ \mathrm{g/mL}.)$$

Accepted Answer

35 g

Question 14

Which of the following numbers has the greatest number of significant figures?

Accepted Answer

700.00

Question 15

A student calculates the area of a rectangle as $$3.75 \ \mathrm{cm} 	imes 2.15 \ \mathrm{cm} = 8.0625 \ \mathrm{cm}^2. $$What is the correct way to report the answer with the proper number of significant figures?

Accepted Answer

8.06 $$\mathrm{cm}^2$$

Question 16

Which of the following is the correct order of magnitude for the number $$4.8 	imes 10^3$?

Accepted Answer

$$10^3$$

Question 17

When converting between standard and scientific notation, what must remain unchanged?

Accepted Answer

The number of significant figures

Question 18

A student wants to convert 1.23 Gm to mm. What is the correct conversion factor to use for Giga to milli?

Accepted Answer

$$1 \ \mathrm{Gm} = 10$$^{12}$$ \ \mathrm{mm}$$

Measurement and Problem Solving in Introductory Chemistry

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