Chapter 1 HW
1. How many significant figures do each of the following
numbers have:
(a) 214: 3 sig. figs.
(b) 81.60: 4 sig. figs.
(c) 7.03: 3 sig. figs.
(d) 0.03: 1 sig. fig.
(e) 0.0086: 2 sig. figs.
(f) 3236: 4 sig. figs.
(g) 8700: 2 sig. figs.
2. Write the following numbers in powers of 10 notation:
0
(a) 1.156: 1. 156 × 10
1
(b) 21.8: 2. 18 × 10
−3
(c) 0.0068: 6. 8 × 10
2
(d) 328.65: 3. 2865 × 10
−1
(e) 0.219: 2. 19 × 10
2
(f) 444.: 4. 44 × 10
3. Write out the following numbers in full with the
correct number of zeros:
4
(a) 8. 69 × 10 : 8690
3
(b) 9. 1 × 10 : 9100
−1
(c) 8. 8 × 10 : 0.88
2
(d) 4. 76 × 10 : 476
−5
(e) 3. 62 × 10 : 0.0000362
12. Write the following as full (decimal) numbers without prefixes on the units:
(a) 286.6 mm: 0.2866 m
(b) 85 μV: 0.000085 V
(c) 760 mg: 0.76 g
(d) 62.1 ps: 0.0000000000621 s
(e) 22.5 nm: 0.0000000225 m
(f) 2.50 gigavolts: 2,500,000,000 V
21. American football uses a field that is 100.0 yd long, whereas a soccer field is 100.0
m long. Which field is longer, and by how much (give yards, meters, and percent)?
1 yd = 0.9144 m (google)
100.0𝑚
1
1𝑦𝑑
× 0.9144𝑚 = 109. 3𝑦𝑑
109. 3 − 100. 0 = 9. 3𝑦𝑑
9.3
( 109.3 ) × 100 = 8. 5%
100.0𝑦𝑑
1
×
0.9144𝑚
1𝑦𝑑
= 91. 44𝑚
100. 0 − 91. 44 = 8. 6𝑚
8.6
( 100.0 ) × 100 = 8. 6%
The soccer field is longer by about 8.6% or 9.3yd or 8.6m.