Q: A student needs to convert 36 inches to centimeters. Which calculation is correct?

$$ 36\ in \times \frac{2.54\ cm}{1\ in} = 91.44\ cm $$

Question 1

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

Accepted Answer

The number of students in a classroom

Question 2

A scientist measures the mass of a sample five times and gets values very close to each other, but all are far from the true value. This situation demonstrates:

Accepted Answer

Low accuracy, high precision

Question 3

Which device would generally provide the most precise measurement of volume?

Accepted Answer

Volumetric flask

Question 4

A student records the volume of a liquid as 36.6 mL. Which digit is considered uncertain?

Accepted Answer

6 in the hundredths place

Question 5

Which of the following is NOT an intensive property?

Accepted Answer

Mass

Question 6

A doctor orders a dosage of 10.0 mg of a medication. The medication is in a vial labeled 2.3 mg/mL. What volume of the medication should be administered?

Accepted Answer

$$ V = \frac{10.0\ mg}{2.3\ mg/mL} = 4.3\ mL $$

Question 7

Which of the following conversion factors is correct for converting inches to centimeters?

Accepted Answer

$$ 1\ in = 2.54\ cm $$

Question 8

A crown has a mass of 4.54 kg and displaces 235 mL of water. Is the crown made of gold? (Density of gold = 19.32 g/mL)

Accepted Answer

No, because its density is less than gold

Question 9

Which metric prefix represents $$10^{-3}$$?

Accepted Answer

milli

Question 10

What is the density of a substance if 250 g occupies 200 mL?

Accepted Answer

$$ D = \frac{250\ g}{200\ mL} = 1.25\ g/mL $$

Question 11

Which of the following is the correct SI unit for mass?

Accepted Answer

Kilogram (kg)

Question 12

If you have 115 g of butter and the density is 911 g/L, how many cups do you have? (1 cup = 250 mL)

Accepted Answer

$$ 0.505\ cups $$

Question 13

Which of the following statements about rounding in calculations is correct?

Accepted Answer

Do not round until the end of your calculation

Question 14

A student needs to convert 36 inches to centimeters. Which calculation is correct?

Accepted Answer

$$ 36\ in 	imes \frac{2.54\ cm}{1\ in} = 91.44\ cm $$

Question 15

Which of the following is a derived unit?

Accepted Answer

Density (g/mL)

Question 16

Which of the following is the correct formula for density?

Accepted Answer

$$ D = \frac{m}{V} $$

Question 17

A sample has a mass of 500 g and a volume of 250 mL. What is its density in $$g/mL$$?

Accepted Answer

$$ 2.0\ g/mL $$

Question 18

Which of the following is an example of dimensional analysis?

Accepted Answer

Converting 1.6 km to miles using $$1.6\ km = 1\ mile$$

Question 19

Which of the following is a physical property that can be used to identify a substance?

Accepted Answer

Density

Question 20

A student measures the length of a table as 2.362 m. How should this value be rounded to two significant figures?

Accepted Answer

$$ 2.4\ m $$

Matter and Measurement: Fundamental Concepts and Calculations

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