Question

conversions:
a. 341 dm = ______ km
b. 0.045 mg = ______ dg
c. 6.67 l = ______ cl
d. 85.96 hm = ______ dm
e. 45.2 ml = ______ cm³
f. 72 cg = ______ g
g. 75.4 dal = ______ cl

Explanation:

Step1: Recall length conversion

$1\ km = 10000\ dm$, so for A, $341\ dm=\frac{341}{10000}\ km = 0.0341\ km$.

Step2: Recall mass conversion

$1\ dg=100\ mg$, so for B, $0.045\ mg=\frac{0.045}{100}\ dg= 0.00045\ dg$.

Step3: Recall volume conversion

$1\ L = 100\ cL$, so for C, $6.67\ L=6.67\times100\ cL = 667\ cL$.

Step4: Recall length conversion

$1\ hm = 1000\ dm$, so for D, $85.96\ hm=85.96\times1000\ dm = 85960\ dm$.

Step5: Recall volume - volume conversion

$1\ mL = 1\ cm^{3}$, so for E, $45.2\ mL = 45.2\ cm^{3}$.

Step6: Recall mass conversion

$1\ g = 100\ cg$, so for F, $72\ cg=\frac{72}{100}\ g = 0.72\ g$.

Step7: Recall volume conversion

$1\ daL=1000\ cL$, so for G, $75.4\ daL=75.4\times1000\ cL = 75400\ cL$.

Answer:

A. $0.0341$
B. $0.00045$
C. $667$
D. $85960$
E. $45.2$
F. $0.72$
G. $75400$