Answer
a) $1.1\times10^5m$
b) $7.87\times10^{-1}g$
c) $1.654\times10^1 cm$
d) $1.4\times 10^6 cm^3$
Work Step by Step
(a) 5.6792 m + 0.6 m + 4.33 m
5.6792 m = 4 d.p.
0.6 m = 1 d.p.
4.33 m = 2 d.p.
5.6792 m + 0.6 m + 4.33 m= 10.6092 m
$=1.06092\times10^5$
$=1.1\times10^5m$ 1 d.p.
(b) 3.70 g - 2.9133 g
3.70 g = 2 d.p.
2.9133 g = 4 d.p.
3.70 g - 2.9133 g = 0.7867
$=7.867\times10^{-1}g$
$=7.87\times10^{-1}g$ 2 d.p.
(c) 4.51 cm X 3.6666 cm
4.51 cm = 3 s.f.
3.6666 cm = 5 s.f.
4.51 cm X 3.6666 cm = 16.536366 cm
$= 1.6536366\times10^1 cm$
$=1.654\times10^1 cm$ 3 s.f.
(d)
$3 x 10^4 g = 1 d.p. ; 1 s.f.$
$6.827 g = 3 d.p. ; 4 s.f.$
$0.043 cm^3 = 3 d.p. ; 2 s.f.$
$0.021 cm^3 = 3 d.p. ; 2 s.f.$
$(3 x 10^4 g + 6.827 g)/(0.043 cm^3 — 0.021 cm^3)$
$3 x 10^4 g + 6.827 g= 30006.827 = 30006.8 g$ 1 d.p.
$0.043 cm^3 — 0.021 cm^3=0.022cm^3$ 3 d.p.
$\frac{30006.8}{0.022}\approx1363945.4545454545454545$
$=1.3639454545454545454545\times 10^6$
$=1.4\times 10^6 cm^3$
