Chapter 1 Science and the Universe: A Brief Tour
1.11 Questions and Exercises
Problems & Exercises
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Express these numbers in scientific notation.
(a) 56.9 (b) 563,100 (c) 0.0804 (d) 0.00000667
2. Express these numbers in scientific notation.
(a) −890,000 (b) 602,000,000,000 (c) 0.0000004099 (d) 0.000000000000011
3. Express these numbers in scientific notation.
(a) 0.00656 (b) 65,600 (c) 4,567,000 (d) 0.000005507
4. Express these numbers in scientific notation.
(a) 65 (b) −321.09 (c) 0.000077099 (d) 0.000000000218
5. Express these numbers in standard notation.
(a) 1.381 × 105 (b) 5.22 × 10−7 (c) 9.998 × 104
6. Express these numbers in standard notation.
(a) 7.11 × 10−2 (b) 9.18 × 102 (c) 3.09 × 10−10
7. Express these numbers in standard notation.
(a) 8.09 × 100 (b) 3.088 × 10−5 (c) −4.239 × 102
8. Express these numbers in standard notation.
(a) 2.87 × 10−8 (b) 1.78 × 1011 (c) 1.381 × 10−23
9. These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.
(a) 72.44 × 103 (b) 9,943 × 10−5 (c) 588,399 × 102
10. These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.
(a) 0.000077 × 10−7 (b) 0.000111 × 108 (c) 602,000 × 1018
11. These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.
(a) 345.1 × 102 (b) 0.234 × 10−3 (c) 1,800 × 10−2
12. These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.
(a) 8,099 × 10−8 (b) 34.5 × 100 (c) 0.000332 × 104
13. Write these numbers in scientific notation by counting the number of places the decimal point is moved.
(a) 123,456.78 (b) 98,490 (c) 0.000000445
14. Write these numbers in scientific notation by counting the number of places the decimal point is moved.
(a) 0.000552 (b) 1,987 (c) 0.00000000887
15. Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.
(a) 456 × (7.4 × 108) = ? (b) (3.02 × 105) ÷ (9.04 × 1015) = ? (c) 0.0044 × 0.000833 = ?
16. Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.
(a) 98,000 × 23,000 = ? (b) 98,000 ÷ 23,000 = ? (c) (4.6 × 10−5) × (2.09 × 103) = ?
17. Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.
(a) 45 × 132 ÷ 882 = ? (b) [(6.37 × 104) × (8.44 × 10−4)] ÷ (3.2209 × 1015) = ?
18. Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.
(a) (9.09 × 108) ÷ [(6.33 × 109) × (4.066 × 10−7)] = ? (b) 9,345 × 34.866 ÷ 0.00665 = ?
Solutions
Problems & Exercises
1. a) 5.69 × 101 b) 5.631 × 105 c) 8.04 × 10−2 d) 6.67 × 10−6
3. a) 6.56 × 10−3 b) 6.56 × 104 c) 4.567 × 106 d) 5.507 × 10−6
5. a) 138,100 b) 0.000000522 c) 99,980
7. a) 8.09 b) 0.00003088 c) −423.9
9. a) 7.244 × 104 b) 9.943 × 10−2 c) 5.88399 × 107
11. a) 3.451 × 104 b) 2.34 × 10−4 c) 1.8 × 101
13. a) 1.2345678 × 105 b) 9.849 × 104 c) 4.45 × 10−7
15. a) 3.3744 × 1011 b) 3.3407 × 10−11 c) 3.665 × 10−6
17. a) 6.7346 × 100 b) 1.6691 × 10−14
