Download WORKSHOP 1: Significant Figures and Exponents Answer Key

WORKSHOP 1: Significant Figures and Exponents
Answer Key
Show calculation setups and answers for all problems below.
1. How many significant figures are in each of the following numbers?
(a) 8.57 3 SF
(b) 9.3 2 SF
(c) 6.20 3 SF
(e) 0.058 2 SF (f) 0.0085 2 SF
(d) 74,000 2 SF
(g) 0.0790 3 SF
(h) 0.4020 4 SF
2. Write each of the following numbers in proper exponential notation:
(a) 587
(a) 5.87 x 102
(b) 0.0077
(b) 7.7 x 10-3
(c) 9,200
(c) 9.2 x 103
(d) 406.0
(d) 4.060 x 102
(e) 13,800,000
(e) 1.38 x 107
(f) 0.0004
(f) 4 x 10-4
3. How many significant figures should be in the answer to each of the following
calculations?
(a) 16.20
+ 0.87
17.07
(b) 46.837
9.5
37.337 = 37.3
(a) 4 SF
(c) 23.3 x 1.73 =
(d) 3.1 x 6.4215 =
(c) 3 SF
(b) 3 SF
(d) 2 SF
(e) 0.4273 =
0.1853
(f) 4.73 x 8.31 x 337 =
834 x 357
(e) 4 SF
(f) 3 SF
4. For each of these problems, complete the answer with a 10 raised to the proper power.
Note that each answer is expressed to the correct number of significant figures.
(a) (1.73 x 103)(2.0 x 103) = 3.5 x ________
(a) 106
(b) 6.477 x 105 = 1.80 x _______
3.62 x 103
(b) 102
(c) (5.7 x 103)(2.6 x 105) = 1.5 x _______
(c) 109
(d) 2.75 x 10-6 = 1.2 x _______
2.3 x 103
(d) 10-9
(e) 5.80 x 104 = 6.09 x _______
9.53 x 107
(e) 10-4
5. Solve each of the following problems, expressing each answer to the proper number
of significant figures. Use exponential notation for (c), (d), and (e).
(a)
1.753
56.32
+ 28.33
(b) 825.3
17.43
(a) 86.40
(b) 807.9
(c) (7.55 x 102)(2.83 x 108) =
(c) 2.14 x 1011
(d) 5.6 x 5,280 =
(d) 3.0 x 104
(e) (6.51 x 10-2)(7.07 x 10-5) =
2.92 x 103
(e) 1.58 x 10-9