Chapter 1

Express the following values in scientific notation. a. \(150,000,000\) b. \(0.000043\) c. 332000 d. \(0.0293\) e. 932 f. \(0.1873\) g. 78,000 h. \(0.0001\) i. 4500 j. \(0.00290\) k. 6281 l. \(0.00700\)

Express the following values in decimal notation. a. \(3.8 \times 10^{-3}\) b. \(9.21 \times 10^{5}\) c. \(7.91 \times 10^{-2}\) d. \(2.5 \times 10^{6}\) e. \(3.42 \times 10^{-8}\) f. \(5.4 \times 10^{5}\) g. \(3 \times 10^{-3}\) h. \(7.34 \times 10^{2}\) i. \(9.8 \times 10^{-4}\) j. \(6 \times 10^{7}\) k. \(4.20 \times 10^{-6}\) l. \(4.20 \times 10^{6}\)

What SI base unit would be appropriate for each measurement? a. the length of a room b. the amount of carbon in a diamond c. the mass of \(\mathrm{NaCl}\) in a bottle

List the meaning of each abbreviation of the base units. a. \(\mathrm{m}\) b. K c. \(\mathrm{kg}\) d. S e. mol

What is the the derived unit from the SI base units for the relationship of each pair of quantities? a. mass and volume b. distance and time c. amount of substance and volume d. area

Give the meaning and name of each metrix prefix abbreviation. a. \(\mathrm{M}\) b. \(\mathrm{m}\) C. \(n\) d. \(\mathrm{d}\)

Give the abbreviation and meaning of each metrix prefix. a. kilo b. centi c. micro d. giga

Name the prefix with the following numerical meaning. a. \(1 / 10\) b. \(1,000,000\) c. \(1 / 1,000,000\) d. \(1 / 100\) e. 1

Convert each temperature to the missing one between Celsius and Fahrenheit. a. \(77^{\circ} \mathrm{F}\) b. \(212^{\circ} \mathrm{F}\) c. \(37^{\circ} \mathrm{C}\) d. \(22^{\circ} \mathrm{C}\) e. \(95^{\circ} \mathrm{F}\) f. \(15^{\circ} \mathrm{C}\) g. \(0^{\circ} \mathrm{F}\) h. \(0^{\circ} \mathrm{C}\) i. \(-10^{\circ} \mathrm{C}\) j. \(-10^{\circ} \mathrm{F}\)

Explain the similarities and differences between accuracy and precision.

The density of a copper sample was determined by three different students (shown below). Each performed the measurement three times and is reported below (all values in units of \(\mathrm{g} / \mathrm{cm}^{3}\) ). The accepted value for the density of copper is \(8.92 \mathrm{~g} / \mathrm{cm}^{3}\). a. Determine if each student's data is accurate, precise, neither or both. b. What is the average density based on Justin's data? c. What is the average density based on Jane's data? o Jane: \(8.94,8.89,8.91\) o Justin: 8.32, 8.31, \(8.34\) o Julia: \(8.64,9.71\), and \(9.10\)

Determine the number of significant figures in each of the following values. a. 406 b. \(3.00\) c. \(3.20\) d. \(0.25\) e. \(0.0689\) f. \(0.002910\) g. 3941 h. \(46.250\) i. \(30.21\) j. \(0.10300\)

Write each value with three significant figures, use scientific notation if necessary. a. 34500 b. 24 c. \(0.0345\) d. \(0.012\) e. \(612.8\) f. \(98.22\) g. \(0.14928\) h. 300

Give three examples of exact numbers.

Find the result of each of the following calculations and report the value with the correct number of significant figures. a. \(0.23+12.2=\) b. \(13-1.03=\) ?. \(0.839+0.28925=\) d. \(28+34.4=\) e. \(0.8+2.3=\) f. \(34.9-0.583=\) g. \(21-0.132=\) h. \(0.840+0.9334\)

Find the result of each of the following calculations and report the value with the correct number of significant figures. a. \(34 \times 0.12=\) b. \(68.2 / 0.78=\) c. \(3.29 \times 10^{4} \times 16.2=\) d. \(0.8449 \times 29.7=\) e. \(5.92 \times 10^{3} / 0.628=\) f. \(3.00 \times 2.6=\) g. \(2.50 \times 9.331=\) h. \(3.20 / 12.75=\)

What is a conversion factor?

What is the conversion factor between each pair of units? a. feet and inches b. \(\mathrm{mL}\) and \(\mathrm{cm}^{3}\) c. \(\mathrm{kg}\) and \(\mathrm{g}\) d. cm and m e. \(\mathrm{mm}\) and \(\mathrm{cm}\) \(\mathrm{f}\). inches and centimeters g. grams and pounds h. \(g\) and \(\mu\) g (mcg)

Complete each of the following conversions. a. \(34 \mathrm{~cm}\) to \(\mathrm{m}\) b. \(3.7 \mathrm{ft}\) to in c. \(345 \mathrm{mg}\) to \(\mathrm{Mg}\) d. \(5.3 \mathrm{~km}\) to \(\mathrm{mm}\) e. \(4.0 \mathrm{~L}\) to \(\mathrm{mL}\) f. \(3.45 \times 10^{3} \mathrm{~mm}\) to \(\mathrm{km}\) g. \(78 \mathrm{~cm}^{3}\) to \(\mathrm{mL}\) h. \(0.85 \mathrm{~kg}\) to \(\mathrm{dg}\) i. 13 pints to gallon j. \(0.35 \mathrm{~L}\) to \(\mathrm{cm}^{3}\)

Complete each of the following conversions. a. \(342 \mathrm{~cm}^{3}\) to \(\mathrm{dm}^{3}\) b. \(2.70 \mathrm{~g} / \mathrm{cm}^{3}\) to \(\mathrm{kg} / \mathrm{L}\) c. \(34 \mathrm{mi} / \mathrm{hr}\) to \(\mathrm{km} / \mathrm{min}\) d. \(0.00722 \mathrm{~km}^{2}\) to \(\mathrm{m}^{2}\) e. \(4.9 \times 10^{5} \mathrm{mcm}^{3}\) to \(\mathrm{mm}^{3}\) f. \(80 . \mathrm{km} / \mathrm{hr}\) to \(\mathrm{mi} / \mathrm{hr}\)

Solve each of the following. a. What percent of 35 is \(8.2 ?\) b. What percent of 56 is \(12 ?\) c. What percent of 923 is \(38 ?\) d. What percent of 342 is \(118 ?\)

Solve each of the following? a. What is \(42 \%\) of \(94 ?\) b. What is \(83 \%\) of \(239 ?\) c. What is \(16 \%\) of \(45 ?\) d. What is \(38 \%\) of \(872 ?\)

Solve each of the following? a. 42 is \(34 \%\) of what number? b. 73 is \(82 \%\) of what number? c. 13 is \(57 \%\) of what number? d. 75 is \(25 \%\) of what number? e. 25 is \(15 \%\) of what number? f. 98 is \(76 \%\) of what number?

A patient originally weighs 182 pounds and loses \(15.0 \%\) of their body weight. What is their final weight?

A patient's original weight was 135 pounds and they lose 12 pounds. What percent of their body weight did they lose?

A patient needs to increase their calcium supplement by \(25 \%\) a week. If they are currently taking a \(300 .\) mg supplement, how much more will they need to take?

An infant's birth weight is 7 pounds, 1 ounce. Her discharge weight is 6 pounds, 13 ounces. What percent of her birth weight did she lose?

A patient needs a \(20 . \%\) decrease in their medication dosage from \(125 \mathrm{mg}\). What will his dosage be after the decrease?