Problems B
25
8
V'U
Rec
(a)
[(276 +321)
:iprocals (use reciprocal
1
3864
1
3,621 ,422
(761
key)
- 93)
(d)
(e)
•I
1
8023 x
1
2 056 x
10
26
10 <"
(C) 0000000007916
9 Scientific notation and decimals (integral powers and roots of base 10)
A Express each of the following in standard scientific notation, and also give
the answer in that notation
(a) 0 000000473 x 0 00000926 =
(b) 85,900,000,000,000,000 x 27,300,000 000 =
(c) 0 000000000000000643 - 90 600,000,000,000,000,000 =
B Perform the following computations
4 691 x 10
2 x 8 035 x 10 ' x 7 3 x 10
6
(d)
(e)
6 09 x 10
16 x 1 07 x 101
* x 0 539 x 10 '
7 307 x 10 " x 432 1 x 6 75 x 10
2 x 0 0572
3 65 x 2 63 x 10
4 x 0 0062 x 5 15 x 10
3
(f) 4 75 x 10
3 + 8 06 x 10~
2 - 5 52 x 10~
4
9 97 x 10
J =
10 Powers and roots (general exponents for any base)
(a) (365 1)' -
(b) V36TT =
(c) (0 0000000000000365)
2 -
(d) (0 0000000000003651)* =
(e) (1978)
27 -
(f) (2001)*(g) X/'S 4 x 10" -
(h) (8 25 x 10
7
)* =
(0 (4 62 x 108
)* =
1
0)
(k)
(3 97 x 10-")*
0000537 x (62 4)
3 x 2134
3 19 x 10~
5 x 82 7
(1) (3 65)M65 2)* =
(18 7)3(48 9)
2 (0 000326) =
(m)
V4261 x (3 17)
2
/4 03 x IP'
5 x 0 000737 x 6 02 x 10
14 x 53 7\* _
(
\
3 07 x 10
4 x 0 0329 x 21 63
j
(7 18 x IP'
3 )
2 x 4 26 x 10
7
(
5 55 x 10
16 x (3 76)
5
, N 6 47 x 10~
7 x 39 8 x 0 0000427
(P)
(q)
(5 33 x 102
)
3 x (2 36)
4
(26 5)^3 77)2
(48 2)^5 61)-