Significant Digits, Rounding Off, Scientific Notation
1. State the number of significant digits in each of the following:
| a) 0.0034 |
d) 1.2300 |
g) 0.067 |
j) 0.00001 |
m) 9.3005 |
| b) 1000 |
e) 3006 |
h) 0.0010 |
k) 0.0000100 |
n) 600.021 |
| c)102.0 |
f) 102030 |
i) 10200 |
l) 100 |
o) 0.1005 |
2. Change each of the following into correct scientific notation. Round off to one decimal place.
| a) 0.00000581 |
f) 42893 |
k) 2005000 |
p) 2875000 |
| b) 207000 |
g) 4105000 |
l) 3685000 |
q) 4.5050 |
| c) 0.03152 |
h) 0.0003025 |
m) 3.0025 |
r) 1.025 |
| d) 374 x 10-6 |
i) 4000 x 103 |
n) 0.0078 x 10-4 |
s) 40300000 |
| e) 0.00370 |
j) 213 |
o) 0.356 |
t) 984 x 10-2 |
3. Express each of the following in expanded form
| a) 2.54x105 |
d) 2.15x10-6 |
| b) 1.01x10-3 |
e) 9.22x102 |
| c) 3.05x107 |
f) 9.22x10-2 |
4. Calculate each of the following. Watch significant digits.
| a) 7x104 + 2x105
| l) 6.6x105 ÷ 3.0x102 |
| b) 8x10-3 - 7x10-4
| m) (3800)(0.0054)(0.0000001) ÷ (430000000)(0.00054) |
| c) (3x102)(2x103)
| n) (2x105)2 |
| d) (1.3x10-3)(4x10-5)
| o) (2x104)2(3x106)3 |
| e) 5x10-2 + 3x10-4
| p) 4x105 - 1x106 |
| f) (8x10-5)(3x107)
| q)(-9x1017)(6x10-18) |
| g) (3x10-3)3
| r)(-3x10-3)3 |
| h) 6.201 + 7.4 + 0.68 + 12.0
| s) 10.8 + 8.264 |
| i) 475 - 0.4168
| t) (131)(2.3) |
| j) (3.2145)(4.23)
| u) 20.2 ÷ 7.41 |
| k) 3.1416 ÷ 12.4 |