Question 1

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

Accepted Answer

$$4.7 	imes 10^2$

Question 2

Express $$5.12 	imes 10^4$ in standard notation.

Accepted Answer

$$51200$$

Question 3

Convert $$7,800,000$$ into scientific notation.

Accepted Answer

$$7.8 	imes 10^6$

Question 4

Which of the following numbers has 3 significant figures?

Accepted Answer

$$0.0650$$

Question 5

How many significant figures are in $$0.00450$$?

Accepted Answer

$$3$$

Question 6

How many significant figures are in $$456,000 ($$without a decimal point)?

Accepted Answer

$$3$$

Question 7

A measurement is recorded as $$0.00780 m. $$How many significant figures does it have?

Accepted Answer

$$3$$

Question 8

Which of the following is the correct result for $$23.18 + 6.0$$ rounded to the correct number of significant figures?

Accepted Answer

$$29.2$$

Question 9

Convert $$48.5 mg to kg $$using dimensional analysis.

Accepted Answer

$$4.85 	imes 10$$^{-5}$$ kg

Question 10

A car travels $$65$$ miles/hour. What is this speed in meters/second? ($$1$$ mile $$= 1.609 km)$$

Accepted Answer

$$29.05 m/s$$

Question 11

Which of the following best describes why $$0.00340$$ has three significant figures?

Accepted Answer

The zeros before the $$3$$ are not significant, but the zero after the $$4 is $$significant because it is after a decimal and a nonzero digit.

Question 12

Convert $$0.0453$$ centimeters to kilometers.

Accepted Answer

$$4.53 	imes 10$$^{-7}$$ km

Question 13

A laboratory measurement is $$14.5 mL. If $$the smallest division on the graduated cylinder is $$0.1 mL$$, how should the measurement be reported with the correct number of significant digits?

Accepted Answer

$$14.5 mL$$

Question 14

Which of the following is the correct result for $$(17.364 + 17.23) \div 125$$ rounded to the correct number of significant figures?

Accepted Answer

$$0.276$$

Question 15

Convert $$250 cm/$$min to m/s.

Accepted Answer

$$0.0417 m/s$$

Question 16

Which of the following is the correct scientific notation for $$0.000602$$?

Accepted Answer

$$6.02 	imes 10$$^{-4}$$

Question 17

Convert $$3.50 	imes 10^2$ km/hr to m/s.

Accepted Answer

$$97.2 m/s$$

Question 18

Which of the following is the correct result for $$17.034 + 4.8$$ rounded to the correct number of significant figures?

Accepted Answer

$$21.8$$

Question 19

Convert $$4$$ $$	ext{g/mL} to$$ $$	ext{kg/L}.$$

Accepted Answer

$$4$$ 	ext{ kg/L}$

Question 20

Which of the following best explains why exact numbers (like 12 in '12 eggs') have infinite significant figures?

Accepted Answer

Exact numbers are defined values and not measured, so they do not limit the number of significant figures in calculations.

Measurement and Problem Solving: Scientific Notation, Significant Figures, and Dimensional Analysis

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