Math Skills: More Practice
Math Skills: More Practice
Math Skills: More Practice
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<strong>Math</strong> <strong>Skills</strong>: <strong>More</strong> <strong>Practice</strong><br />
Answer Key<br />
Page 19: Conversions Within SI<br />
1. 1.738 Mm<br />
2. a. 113,000 mg<br />
b. 0.7 nm<br />
c. 101,100 Pa<br />
d. 13,000,000 A<br />
3. 4,989,000 cm<br />
4. 341.11 m/s > 335.84 m/s; Yes, he did break the sound barrier.<br />
5. 12,500,000,000,000,000 Gg<br />
Page 25: Writing Scientific Notation<br />
1. a. 1.1045 × 10 2 m<br />
b. 3.45 × 10 –6 s<br />
c. 1.329 48 × 10 5 kg<br />
d. 3.349 00 × 10 –2 cm<br />
2. 2.7 × 10 8 people<br />
3. 7.029 4601 × 10 7 airplanes<br />
4. 5.68 × 10 26 kg<br />
5. 4.5 × 10 6 automobiles<br />
Page 26: Using Scientific Notation<br />
1. a. 4.41 × 10 –2<br />
b. 5.79 × 10 19<br />
c. 3.01 × 10 5<br />
d. 6.572 × 10 34<br />
2. 1.9774 × 10 4 m<br />
3. by 8.8048 times<br />
4. 5.2277 × 10 4 immigrants<br />
5. 6.54 × 10 17 m 3<br />
Page: 28: Significant Figures<br />
1. a. 4<br />
b. 4<br />
c. 4<br />
d. 4<br />
2. a. 0.0147 g<br />
b. 27.15 cm<br />
c. 4.48 L<br />
3. a. 4.42 g/cm 3<br />
b. 5.2 × 10 5 mm 3<br />
c. 3.9 × 10 4 g/cm 3<br />
4. 3.31 × 10 4 cm 3<br />
5. a. 1.19 cm 3<br />
b. 88.9 kg<br />
c. 720 mm<br />
Copyright © by Holt, Rinehart and Winston. All rights reserved.
Page 54: Density<br />
1. 220 g<br />
2. 1.91 × 10 –5 people/m 2<br />
3. 21.8 g<br />
4. 7.7 × 10 –4 kg or 0.77 g<br />
5. 2.3 g/cm 3<br />
Page 93: Pascal’s Principle<br />
1. 7.50 × 10 2 N<br />
2. 5.0 × 10 2 N<br />
3. 660 N<br />
4. 0.071 cm 2<br />
5. 12.6 mm 2<br />
Page 98: Boyle’s Law<br />
1. 250 kPa<br />
2. 98.0 kPa<br />
3. 234 kPa<br />
4. 0.89 L<br />
5. 7.8 cm 3<br />
Page 126: Converting Moles to Grams<br />
1. a. 1.91 × 10 3 g Si<br />
b. 1.63 × 10 –2 g Cd<br />
c. 8.9 g Au<br />
d. 7.170 × 10 2 g W<br />
2. 720.6 g/mol C 60; 37.7 g C 60<br />
3. 220 g Cd; 64 g S<br />
4. 3.36 × 10 29 g Fe<br />
5. a. 1 × 10 6 g C<br />
b. 6 × 10 3 g O<br />
Page 193: Writing Ionic Formulas<br />
1. KBr<br />
2. CaCl 2<br />
3. a. Li 2O<br />
b. MgO<br />
c. NaCl<br />
d. Mg 3N 2<br />
4. NaF<br />
5. SrI 2<br />
Page 196: Finding Empirical Formulas<br />
1. K 2CrO 4<br />
2. C 3H 8O<br />
3. MnO 2<br />
4. Mn 2O 3<br />
5. Cl 2O 7<br />
Copyright © by Holt, Rinehart and Winston. All rights reserved.
Page 227: Balancing Chemical Equations<br />
1. 4Fe + 3O 2 2Fe 2O 3<br />
2. Fe 2O 3 + 3CO 2Fe + 3CO 2<br />
3. Na 2S + Zn(NO 3) 2 ZnS + 2NaNO 3<br />
4. 2C 14H 30 + 43O 2 30H 2O + 28CO 2<br />
5. 6CO 2 + 6H 2O C 6H 12O 6 + 6O 2<br />
Page 280: Molarity<br />
1. 0.250 M HCl<br />
2. 0.75 M KCl<br />
3. 0.45 mol C 12H 22O 11<br />
4. 49.3 g AgBr<br />
5. 4.2 L solution<br />
Page 299: Determining pH<br />
1. 3<br />
2. 5<br />
3. 10<br />
4. 0.01 M HI<br />
5. 1 × 10 –11 M H 3O +<br />
Page 331: Nuclear Decay<br />
1. a. Ca<br />
b. Pa<br />
2. nitrogen<br />
3. a. beta emission<br />
b. alpha emission<br />
4. thorium<br />
5. Po<br />
Page 334: Half-Life<br />
1. 6.25 g Th<br />
2. 7.8 × 10 –3 g Ra<br />
3. 32.2 days<br />
4. 4 years<br />
5. 1/32<br />
Page 369: Velocity<br />
1. 1.88 m/s straight ahead<br />
2. 0 m/s<br />
3. 13.19 s<br />
4. 5.0 × 10 4 m<br />
5. 78.5 km/h southeast<br />
Copyright © by Holt, Rinehart and Winston. All rights reserved.
Page 375: Acceleration<br />
1. –3.7 m/s 2<br />
2. 4.5 m/s 2<br />
3. 19 s<br />
4. 0.26 m/s 2<br />
5. 9.3 s<br />
Page 401: Newton’s Second Law<br />
1. 7.3 × 10 –2 N<br />
2. 2.39 m/s 2<br />
3. 2.1 × 10 3 N<br />
4. 6.20 m/s 2<br />
5. 65 kg<br />
Page: 415: Momentum<br />
1. a. 1.41 × 10 4 kg•m/s forward<br />
b. 2.05 × 10 4 kg•m/s forward<br />
2. 320 kg•m/s west<br />
3. 4.2 m/s along the trail<br />
4. 4.0 × 10 6 kg•m/s north<br />
5. 11 kg•m/s down the lane<br />
Page 432: Work<br />
1. 4.2 × 10 3 J<br />
2. 3.0 × 10 2 N<br />
3. 6.8 J<br />
4. 1.3 kg<br />
5. 1.3 m/s 2<br />
Page 434: Power<br />
1. 2.2 × 10 2 W<br />
2. 2 × 10 6 J<br />
3. 8.81 × 10 9 MJ<br />
4. 25 s<br />
5. 9.0 × 10 2 W<br />
Page 436: Mechanical Advantage<br />
1. 3.47<br />
2. 110 N<br />
3. 2.3 × 10 5 N<br />
4. The mechanical advantage is 1. If the fulcrum were<br />
moved closer to the input force, the mechanical<br />
advantage would decrease.<br />
5. 0.24<br />
Copyright © by Holt, Rinehart and Winston. All rights reserved.
Page 446: Potential Energy<br />
1. 4.8 J<br />
2. 9.1 × 10 3 m<br />
3. 1.3 × 10 3 J<br />
4. 4.5 kg<br />
5. 0.33 m<br />
Page 448: Kinetic Energy<br />
1. 4.31 × 10 3 J<br />
2. 15.0 m/s<br />
3. 2.4 J<br />
4. 1.73 × 10 3 kg<br />
5. 8.1 × 10 8 J<br />
Page 460: Efficiency<br />
1. 29.7 kJ<br />
2. 25.9%<br />
3. 61%<br />
4. 2.1 MJ<br />
5. 7%<br />
Page 477: Temperature-Scale Conversion<br />
1. 37.0 °C<br />
2. a. 374 K<br />
b. 373 K<br />
c. 3.00 × 10 2 K<br />
d. 273 K<br />
3. 0 °C, 100 °C; 32 °F, 212 °F; 273 K, 373 K<br />
4. –273 °C<br />
5. 315 K = 42 °C; As human body temperature is 37 °C,<br />
this is hot.<br />
Page 486: Specific Heat<br />
1. 42 J<br />
2. 29 °C<br />
3. 5.4 × 10 –3 kg<br />
4. Because diamond has a lower specific heat (487 J/kg•K)<br />
than graphite (709 J/kg•K), the diamond will heat up<br />
faster.<br />
5. 3.4 × 10 6 J<br />
Page 519: Wave Speed<br />
1. 2.3 × 10 –3 ps<br />
2. 3.4 × 10 2 m/s<br />
3. 1.6 m<br />
4. 2.6 × 10 3 s<br />
5. 5.9 × 10 14 Hz<br />
Copyright © by Holt, Rinehart and Winston. All rights reserved.
Page 597: Resistance<br />
1. 4.3 ⏐<br />
2. 10. ⏐<br />
3. 8.95 V<br />
4. 13 ⏐<br />
5. 8 ⏐<br />
Page 606: Electric Power<br />
1. 1.5 W<br />
2. 0.5 A<br />
3. 1.0 × 10 1 A in the United States; 12 ⏐; 2.0 × 10 1 A in<br />
Europe; 4,800 W in Europe; The hair dryer becomes hot<br />
in Europe because it is dissipating four times as much<br />
power as it does when used in the United States.<br />
4. 3.6 A<br />
5. 1.5 × 10 3 W<br />
Copyright © by Holt, Rinehart and Winston. All rights reserved.
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