Question 1

Which of the following numbers is correctly written in scientific notation with the appropriate number of significant figures for the result of $$4.56 	imes 10^3$ 	imes 2.1 	imes 10^2$?

Accepted Answer

$$9.6 	imes 10^5$

Question 2

A student measures the mass of a sample three times and records: 12.01 g, 12.03 g, and 12.02 g. Another student measures the same sample and records: 11.50 g, 12.50 g, and 12.00 g. Which statement best describes the accuracy and precision of the two sets?

Accepted Answer

The first set is more precise but not necessarily more accurate.

Question 3

Which of the following calculations is reported with the correct number of significant figures? $$3.45 + 2.1$$

Accepted Answer

$$5.6$$

Question 4

Convert $$0.0056$$ kilograms to milligrams. Express your answer in scientific notation with the correct number of significant figures.

Accepted Answer

$$5.6 	imes 10^3$ mg

Question 5

A block of wood has a mass of $$150.0 g $$and a volume of $$200.0 cm$^3. $$What is its density, and will it float or sink in water ($$\rho_{water} = 1.00 g/cm$^3$$)?

Accepted Answer

Density = $$0.750 g/cm$^3$$, it will float.

Question 6

Which of the following is the correct conversion for $$3.2$$ meters to nanometers ($$1 m$$ = $$10^9 nm$$)?

Accepted Answer

$$3.2 	imes 10^9$ nm

Question 7

A graduated cylinder contains $$25.00 mL of $$water. After a metal object is submerged, the water level rises to $$32.40 mL. If $$the mass of the object is $$60.0 g$$, what is its density?

Accepted Answer

Question 8

Which measurement has the greatest number of significant figures?

Accepted Answer

$$0.004560 g$$

Question 9

A patient receives a dose of $$0.250 g of a $$medication. If the medication is supplied as $$50.0 mg/mL$$, how many milliliters should be administered?

Accepted Answer

$$5.00 mL$$

Question 10

Which of the following best describes the difference between accuracy and precision?

Accepted Answer

Accuracy refers to how close a measurement is to the true value, while precision refers to how close repeated measurements are to each other.

Question 11

A laboratory result is reported as $$2.30 	imes 10^2$ mL. How many significant figures are in this measurement?

Accepted Answer

3

Question 12

Convert $$7.5 L to $$cubic centimeters ($$1 L$$ = $$1000 cm$^3).$$

Accepted Answer

$$7.5 	imes 10^3$ cm^3$

Question 13

A student multiplies $$2.00 m by$$ $$3.0 m. $$What is the correct answer with the proper number of significant figures?

Accepted Answer

$$6.0 m$^2$$

Question 14

A sample of ethanol has a density of $$0.789 g/mL. $$What is the mass of $$250.0 mL of $$ethanol?

Accepted Answer

$$197 g$$

Question 15

Which of the following is the correct conversion for $$5.00 km to $$meters?

Accepted Answer

$$5.00 	imes 10^3$ m

Question 16

A student records the following measurements for the length of a table: $$2.01 m$$, $$2.00 m$$, $$2.02 m. $$The actual length is $$2.50 m. $$Which statement is true?

Accepted Answer

The measurements are precise but not accurate.

Question 17

A cube has a mass of $$27.0 g $$and a volume of $$9.0 cm$^3. $$What is its density?

Accepted Answer

$$3.0 g/cm$^3$$

Question 18

Which of the following is the correct result for $$0.00450 	imes 1200$$, using the correct number of significant figures?

Accepted Answer

$$5.4$$

Question 19

A solution has a density of $$1.10 g/mL. If $$you have $$500.0 mL of $$this solution, what is its mass?

Accepted Answer

$$550 g$$

Essentials: Units, Measurement, and Problem Solving – Study Guide

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