Question

a) 5.2 cm = __________ m
b) 0.049 kg = __________ g
c) 17.5 mm = __________ cm
d) 2 μg = __________ kg
e) 14 ns = __________ s
f) 33.2 g = __________ gg
g) 2.7 l = __________ ml
h) 130.7 m = __________ cm
i) 1.60 ml = __________ l
j) 4.5 mol = __________ mmol

1. change your answers from #1 into scientific notation:

a)
b)
c)
d)
e)
f)
g)
h)
i)
j)

Explanation:

Step1: Recall unit - conversion factors

1 m = 100 cm, 1 kg = 1000 g, 1 cm = 10 mm, 1 kg=1000000000 μg, 1 s = 1000000000 ns, 1 Gg = 1000000000 g, 1 L = 1000 mL, 1 m = 10 dm, 1 Mmol=1000000 mol

Step2: Convert values and write in scientific notation

a)

5.2 cm to m: $5.2\ cm=5.2\times10^{- 2}\ m$

b)

0.049 kg to g: $0.049\ kg = 4.9\times10^{1}\ g$

c)

17.5 mm to cm: $17.5\ mm=1.75\times10^{0}\ cm$

d)

2 μg to kg: $2\ μg = 2\times10^{-9}\ kg$

e)

14 ns to s: $14\ ns=1.4\times10^{-8}\ s$

f)

33.2 g to Gg: $33.2\ g=3.32\times10^{-8}\ Gg$

g)

2.7 L to mL: $2.7\ L = 2.7\times10^{3}\ mL$

h)

130.7 m to dm: $130.7\ m=1.307\times10^{3}\ dm$

i)

1.60 mL to L: $1.60\ mL=1.60\times10^{-3}\ L$

j)

4.5 mol to Mmol: $4.5\ mol=4.5\times10^{-6}\ Mmol$

Answer:

a) $5.2\times10^{-2}\ m$
b) $4.9\times10^{1}\ g$
c) $1.75\times10^{0}\ cm$
d) $2\times10^{-9}\ kg$
e) $1.4\times10^{-8}\ s$
f) $3.32\times10^{-8}\ Gg$
g) $2.7\times10^{3}\ mL$
h) $1.307\times10^{3}\ dm$
i) $1.60\times10^{-3}\ L$
j) $4.5\times10^{-6}\ Mmol$