Q: A scientist measures a distance as 2.54 meters. What is this distance in inches? (Use $$1 \ \text{m} = 39.37 \ \text{in})$$

$$2.54 \times 39.37 = 99.98 \ \text{in}$$

Q: A jeweler examines a 2.50 g ring. When submerged, the water level rises from 10.00 mL to 11.06 mL. What is the density of the ring?

$$\frac{2.50}{1.06} = 2.36 \ \text{g/mL}$$

Q: Convert 1 hour to seconds.

$$1 \ \text{h} = 60 \ \text{min} \times 60 \ \text{s/min} = 3600 \ \text{s}$$

Q: A sample of water has a mass of 250 g and a volume of 250 mL. What is its density?

$$\frac{250}{250} = 1.0 \ \text{g/mL}$$

Q: A car travels 100 kilometers in 2 hours. What is its average speed in meters per second?

$$\frac{100 \times 1000}{2 \times 3600} = 13.89 \ \text{m/s}$$

Q: Which of the following is the correct relationship between milliliters and cubic centimeters?

$$1 \ \text{mL} = 1 \ \text{cm}^3$$

Q: If a temperature is measured as 25°C, what is its value in Kelvin?

$$25 + 273.15 = 298.15 \ \text{K}$$

Q: Which of the following is a correct conversion for 1 gallon to liters?

$$1 \ \text{gal} = 3.785 \ \text{L}$$

Question 1

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

Accepted Answer

kilogram (kg)

Question 2

A scientist measures a distance as 2.54 meters. What is this distance in inches? (Use $$1 \ 	ext{m} = 39.37 \ 	ext{in})$$

Accepted Answer

$$2.54 	imes 39.37 = 99.98 \ 	ext{in}$$

Question 3

Which prefix multiplier would be most appropriate for expressing a measurement of $$5.57 	imes 10$$^{-5}$$ meters?

Accepted Answer

micro

Question 4

A jeweler examines a 2.50 g ring. When submerged, the water level rises from 10.00 mL to 11.06 mL. What is the density of the ring?

Accepted Answer

$$\frac{2.50}{1.06} = 2.36 \ 	ext{g/mL}$$

Question 5

Which of the following is a derived SI unit?

Accepted Answer

newton (N)

Question 6

Convert 1 hour to seconds.

Accepted Answer

$$1 \ 	ext{h} = 60 \ 	ext{min} 	imes 60 \ 	ext{s/min} = 3600 \ 	ext{s}$$

Question 7

Which of the following best describes the Kelvin scale?

Accepted Answer

It starts at absolute zero, where molecular motion stops.

Question 8

A sample of water has a mass of 250 g and a volume of 250 mL. What is its density?

Accepted Answer

$$\frac{250}{250} = 1.0 \ 	ext{g/mL}$$

Question 9

Which of the following is NOT an SI base unit?

Accepted Answer

liter (L)

Question 10

A car travels 100 kilometers in 2 hours. What is its average speed in meters per second?

Accepted Answer

$$\frac{100 	imes 1000}{2 	imes 3600} = 13.89 \ 	ext{m/s}$$

Question 11

Which of the following is the correct relationship between milliliters and cubic centimeters?

Accepted Answer

$$1 \ 	ext{mL} = 1 \ 	ext{cm}^3$$

Question 12

If a temperature is measured as 25°C, what is its value in Kelvin?

Accepted Answer

$$25 + 273.15 = 298.15 \ 	ext{K}$$

Question 13

Which of the following is a correct conversion for 1 gallon to liters?

Accepted Answer

$$1 \ 	ext{gal} = 3.785 \ 	ext{L}$$

Question 14

A student adds 2.345, 0.07, and 2.9975. What is the sum rounded to the correct number of significant figures?

Accepted Answer

5.41

Question 15

Which of the following best describes a derived unit?

Accepted Answer

A unit that is a combination of two or more base units

Question 16

A force of 10 newtons is applied to an object. Which of the following expresses this force in base SI units?

Accepted Answer

$$10 \ 	ext{kg} \cdot 	ext{m}/	ext{s}^2$$

Question 17

Which of the following is the correct SI base unit for temperature?

Accepted Answer

Kelvin (K)

Question 18

A sample has a density of $$3.51 \ 	ext{g/mL}. If $$its mass is $$7.02 \ 	ext{g}$$, what is its volume?

Accepted Answer

$$\frac{7.02}{3.51} = 2.00 \ 	ext{mL}$$

Matter, Measurement, and Problem Solving: Units and Derived Quantities

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