Q: Convert $$3.45 \times 10$$^{4}$$ milligrams to grams using scientific notation.

$$3.45 \times 10$$^{1}$$ \text{ g}$

Q: Which of the following is the correct conversion factor to convert cubic inches to cubic centimeters?

$$1 \text{ in}^3 = 16.387 \text{ cm}^3$$

Q: When converting $$5.0 \text{ cm}^2 to$$ $$\text{m}^2$$, which conversion factor should be used?

$$1 \text{ m}^2 = 10,000 \text{ cm}^2$$

Question 1

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

Accepted Answer

$$5.6 	imes 10$$^{2}$$

Question 2

A measurement is recorded as 24.6 mm. Which digit is estimated, and what does this indicate about the measurement?

Accepted Answer

The 6 is estimated, indicating uncertainty in the tenths place.

Question 3

How many significant figures are in the number 0.00350?

Accepted Answer

Three

Question 4

Which of the following is an exact number?

Accepted Answer

The number of eggs in a dozen

Question 5

A student multiplies $$2.33 by$$ $$1.0$$ and gets $$2.33. $$How many significant figures should the answer have?

Accepted Answer

Two, because $$1.0$$ has two significant figures.

Question 6

Which SI prefix multiplier would be most appropriate for expressing the diameter of a virus, approximately $$1.2 	imes 10$$^{-8}$$ meters?

Accepted Answer

nano-

Question 7

Convert $$3.45 	imes 10$$^{4}$$ milligrams to grams using scientific notation.

Accepted Answer

$$3.45 	imes 10$$^{1}$$ 	ext{ g}$

Question 8

A sample of metal has a mass of $$27.2 g $$and a volume of $$22.5 mL. $$What is its density?

Accepted Answer

$$1.21 	ext{ g/mL}$$

Question 9

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

Accepted Answer

Mass is constant regardless of location, weight depends on gravity.

Question 10

A car travels $$48.0 mi/$$gal. Convert this to km/L. ($$1 	ext{ mi} = 1.609 	ext{ km}$$, $$1 	ext{ gal} = 3.785 	ext{ L})$$

Accepted Answer

$$20.4 	ext{ km/L}$$

Question 11

Which of the following is the correct conversion factor to convert cubic inches to cubic centimeters?

Accepted Answer

$$1 	ext{ in}^3 = 16.387 	ext{ cm}^3$$

Question 12

A solution map is used in problem-solving to:

Accepted Answer

Outline the steps and units needed to solve a problem.

Question 13

If you add $$5.74$$, $$0.823$$, and $$2.651$$, how many decimal places should your answer have?

Accepted Answer

Two, because $$5.74$$ has two decimal places.

Question 14

A NASA probe was supposed to orbit Mars at $$1.55 	imes 10$$^{5}$$ meters, but was programmed for 1.55$$ 	imes $$10^{5}$$ feet. What is the difference in kilometers between these two altitudes? ($$1 	ext{ m} = 3.281 	ext{ ft})$$

Accepted Answer

$$47.3 	ext{ km}$$

Question 15

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

Accepted Answer

Leading zeros are significant.

Question 16

A block of titanium has a mass of $$45.0 g $$and a density of $$4.50 	ext{ g/cm}^3. $$What is its volume?

Accepted Answer

$$10.0 	ext{ cm}^3$$

Question 17

Which of the following best describes dimensional analysis?

Accepted Answer

A technique for converting units using conversion factors.

Question 18

When converting $$5.0 	ext{ cm}^2 to$$ $$	ext{m}^2$$, which conversion factor should be used?

Accepted Answer

$$1 	ext{ m}^2 = 10,000 	ext{ cm}^2$$

Question 19

Which of the following is a derived SI unit?

Accepted Answer

Cubic meter

Measurement and Problem Solving in Introductory Chemistry

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