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EXERCISE 1
Sig Fig and Exponential Notation
1. How many sig figs are in each of the following numbers?
a. 7.4 2
b. 462 3
e. 0.072 2
f. 0.0130
c. 1.40 3
3
g. 0.0058
d. 16,000 2
2
h. 0.1090 4
2. Write each of the following numbers in proper exponential (scientific) notation:
a. 557
5.57 x 10 2
b. 0.064
6.4 x 10 -2
c. 4300
4.3 x 10 3
d. 382.0
3.820 x 10 2
1.18 x 10 7
e. 11,800,000
f. 0.007
7 x 10 -3
3. How many sig figs should be in the answer to each of the following calculations?
a.
17.1
+ 0.77
17.9
3 sf
b. 47.826
- 9.4__
38.4
3 sf
c.
12.4 x 5.3 = 2 sf
d. 1.27 x 3.1416 = 3 sf
e.
0.517_ = 3 sf
0.2742
f. 0.072__ =
4.36
g. 5.82 x 760 x 325 = 2 sf
723 x 273
2 sf
h. 0.37 x 454 x 5.620 = 2 sf
22.4
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. 1.71 x 103 x 2.0 x 102 = 3.4 x __105______
b.
4.523 x 103
2.71 x 101
= 1.67 x _____102____
c. 4.8 x 101 x 3.5 x 104 = 1.7 x ____106____
d. (1.64 x 10 –2) / (1.2 x 102) = 1.4 x _____10 -4____
e. (3.7 x 10 4) / (8.42 x 105) = 4.4 x ______10 -2_________
5. Solve each of the following problems, expressing each answer to the proper number of sig fig. Use
scientific notation for c, d and e.
a. 1.842 + 45.2 + 87.55 =
134.6
b. 714.3 – 18.56 =
695.7
c. 1.83 x 104 x 7.55 x 107 =
1.38 x 10 12
d. 3.3 x 5280 = 1.7 x 10 4
e. (5.07 x 10-4 )( 8.51 x 10 -2 ) =
2.92 x 104
1.48 x 10 -9