(a) the distance d in rods to be
d = 4.0 furlongs =
( 4.0 furlongs )( 201.168 m furlong ) = 160 rods,
5.0292 m rod
(b) and that distance in chains to be
d =
( 4.0 furlongs )( 201.168 m furlong ) = 40 chains.
20.117 m chain
,2. The conversion factors 1 gry = 1/10 line , 1 line=1/12 inch and 1 point = 1/72 inch
imply that 1 gry = (1/10)(1/12)(72 points) = 0.60 point. Thus, 1 gry2 = (0.60 point)2 =
0.36 point2, which means that 0.50 gry 2 = 0.18 point 2 .
, 3. The metric prefixes (micro, pico, nano, …) are given for ready reference on the inside
front cover of the textbook (see also Table 1–2).
(a) Since 1 km = 1 × 103 m and 1 m = 1 × 106 µm,
( )( )
1km = 103 m = 103 m 106 µ m m = 109 µ m.
The given measurement is 1.0 km (two significant figures), which implies our result
should be written as 1.0 × 109 µm.
(b) We calculate the number of microns in 1 centimeter. Since 1 cm = 10−2 m,
( )( )
1cm = 10−2 m = 10 −2 m 106 µ m m = 104 µ m.
We conclude that the fraction of one centimeter equal to 1.0 µm is 1.0 × 10−4.
(c) Since 1 yd = (3 ft)(0.3048 m/ft) = 0.9144 m,
( )
1.0 yd = ( 0.91m ) 106 µ m m = 9.1 × 105 µ m.