Question

metric conversions
perform the following metric conversions using the factor/label method

1. 2.45 cm
2. 29.5 ml
3. 81.0 ms
4. 5.23 m
5. 35.0 hs
6. 2.9 kl
7. 0.47 kg
8. 32.0 l
9. 11.1 hg

Explanation:

Step1: Recall conversion factor for cm to m

1 m = 100 cm, so conversion factor is $\frac{1\ m}{100\ cm}$.
$2.45\ cm\times\frac{1\ m}{100\ cm}=0.0245\ m$

Step2: Recall conversion factor for ml to dl

1 dl = 100 ml, so conversion factor is $\frac{1\ dl}{100\ ml}$.
$29.5\ ml\times\frac{1\ dl}{100\ ml}=0.295\ dl$

Step3: Recall conversion factor for ms to s

1 s = 1000 ms, so conversion factor is $\frac{1\ s}{1000\ ms}$.
$81.0\ ms\times\frac{1\ s}{1000\ ms}=0.081\ s$

Step4: Recall conversion factor for m to cm

1 m = 100 cm, so conversion factor is $\frac{100\ cm}{1\ m}$.
$5.23\ m\times\frac{100\ cm}{1\ m}=523\ cm$

Step5: Recall conversion factor for hs to s

1 s = 0.01 hs, so conversion factor is $\frac{1\ s}{0.01\ hs}$.
$35.0\ hs\times\frac{1\ s}{0.01\ hs}=3500\ s$

Step6: Recall conversion factor for kL to L

1 kL = 1000 L, so conversion factor is $\frac{1000\ L}{1\ kL}$.
$2.9\ kL\times\frac{1000\ L}{1\ kL}=2900\ L$

Step7: Recall conversion factor for kg to g

1 kg = 1000 g, so conversion factor is $\frac{1000\ g}{1\ kg}$.
$0.47\ kg\times\frac{1000\ g}{1\ kg}=470\ g$

Step8: No conversion needed if unit is already L

$32.0\ L = 32.0\ L$

Step9: Recall conversion factor for hg to g

1 hg = 100 g, so conversion factor is $\frac{100\ g}{1\ hg}$.
$11.1\ hg\times\frac{100\ g}{1\ hg}=1110\ g$

Answer:

1. $0.0245\ m$
2. $0.295\ dl$
3. $0.081\ s$
4. $523\ cm$
5. $3500\ s$
6. $2900\ L$
7. $470\ g$
8. $32.0\ L$
9. $1110\ g$