22
Number Notations, Arithmetical Operations, and Calculators
(a) 0.000053 x 0.00000000000087 =
(b) 534,000,000,000,000 x 8,700,000 =
(c) 5,340,000,000,000,000 -=- 0.000000000000087 =
B. Perform the following computations.
... 2.783 x 10
3 x 0.894 x 10~
2 x 5.32 x 10~
3
(d)
(e)
1.238 x 10
8 x 6.342 x 10
2 x 0.957 x 1Q6
8.52 x 103 x 7.394 x 10
4 x 23.16 x 0.046
1.637 x 10
3 x 4.5 x 10~
5 x 1.25 x 0.8954
(f) 5.34 x 105 + 8.7 x 10~
7 - 9.4 x 1Q6 =
4. Powers and roots (general exponents for any base).
(a) (5280)
2 =
(b) V5280 =
(c) (0.00000000000528)
2 =
(d) (0.000000000528)* =
(e) (1776)
25 =
(f) (1977)* =
(g) ^4.7 x 10
13 =
(h) (7.43 x 10
5
)3 =
(i) (6.57 x 109
)-* =
(k)
(5.5 x 10~
n )*
3721 x 5.03 x (2IO)
2
47.6 x 0.00326
(1) (6.72)"(37.6)* =
(52)
2 x V0.0038
, , /5.73 x 1Q-" x 3.8 x 10'° x 0.0067 x 5.42 x 10
6
^"' \
1.987 x 0.082 x 1.38 x 10
16
(3.78)
2 x 5.8 x 102
( °' 6.6 x 10-" x (4.2)
4
. . 8.035 x 10-" x 0.000579 x
""
(3.51)
3 x (4.2 x 103
)
(45.1)2 (3.21)
3
^' rs n-^cs n?^
45.45
2
5. Logarithms and antilogarithms
A. Determine the logarithms of the following numbers.
(a) log 47.4 =
(h) In 3.82 =
(b) log 367 =
(i) In 5385 =
(c) log 0.0052 =
(j) In 0.000706 =
(d) log (8.73 x 107
) =
(k) In (4.64 x lO"
6 ) =
(e) log 1572 =
(1) In 239 =
(f) log (3.627 x 10
9
) =
(m) In (6.375 x 10
27
)
(g) log (-365) =
(n) In (-4.37) =