Q: Which of the following is the correct formula for density?

$$\text{Density} = \frac{\text{Mass}}{\text{Volume}}$$

Q: When converting $$3.0 m$^2 to cm$^2$$, which conversion factor should be used and how should it be applied?

Multiply by $$(100 \text{ cm}/1 \text{ m})^2$

Question 1

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

Accepted Answer

$$4.5 	imes 10$$^{1}$$

Question 2

A laboratory measurement is recorded as 24.6 mm. Which digit is considered uncertain due to measurement limitations?

Accepted Answer

6

Question 3

How many significant figures are in the measurement 0.004560?

Accepted Answer

5

Question 4

Which of the following is an exact number?

Accepted Answer

The number of students in a classroom

Question 5

A student multiplies $$2.34 (3 $$sig figs) by $$0.10 (2 $$sig figs). What is the correct number of significant figures in the final answer?

Accepted Answer

2

Question 6

Which of the following correctly applies the rules for significant figures in addition: $$4.8 + 3.965$$?

Accepted Answer

$$8.8$$

Question 7

A sample of liquid has a mass of $$27.2 g $$and a volume of $$22.5 mL. $$What is its density, reported to the correct number of significant figures?

Accepted Answer

$$1.21 g/mL$$

Question 8

Which SI prefix multiplier would be most appropriate for expressing the length of a chemical bond (about $$120 pm$$)?

Accepted Answer

picometer

Question 9

Which of the following statements about mass and weight is correct?

Accepted Answer

Mass is independent of gravity, weight depends on gravity.

Question 10

A conversion factor is constructed from which of the following?

Accepted Answer

Any two quantities known to be equivalent

Question 11

A chemist needs to convert $$5.00 cm$^3 to mL. $$What is the correct conversion and answer?

Accepted Answer

$$5.00 cm$^3 = 5.00 mL$$

Question 12

Which of the following best describes the process of dimensional analysis?

Accepted Answer

Using units as a guide to solving problems

Question 13

A solution map is used in problem-solving to:

Accepted Answer

Outline the strategic route to solve a problem

Question 14

If a calculation involves both multiplication/division and addition/subtraction, what is the correct approach?

Accepted Answer

Do the steps in parentheses first, determine significant figures in the intermediate answer, then complete the calculation

Question 15

A NASA probe was supposed to establish orbit at $$155 km$$, but was programmed for $$1.55 	imes 10$$^{5}$$ ft. What is the main lesson from this incident?

Accepted Answer

Unit conversion errors can have serious real-world consequences

Question 16

Which of the following is the correct formula for density?

Accepted Answer

$$	ext{Density} = \frac{	ext{Mass}}{	ext{Volume}}$$

Question 17

A student measures the mass of a metal as $$13.2 g $$and its volume as $$2.0 cm$^3. $$What is the density, reported to the correct number of significant figures?

Accepted Answer

$$6.6 g/cm$^3$$

Question 18

When converting $$3.0 m$^2 to cm$^2$$, which conversion factor should be used and how should it be applied?

Accepted Answer

Multiply by $$(100 	ext{ cm}/1 	ext{ m})^2$

Question 19

Which of the following is NOT a derived unit?

Accepted Answer

Meter

Measurement and Problem Solving in Chemistry: Scientific Notation, Significant Figures, and Unit Conversions

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