Question

parte c: metric conversion factors
1l = 1000 ml
1m = 100cm
1 kg = 1000 g
1dm³ = 1000 ml = 1l
1km = 1000 m
1 cm³ = 1 ml
usar el factor de conversion en los siguientes ejercicios
a. 0.049 kg a g
b. 3 kl a l
c. 150 mg a g
d. 1.18 dm3 a ml
e. 523 pies a cm
f. 4.19 l a dm³
g. 310000 cm² a m²

Explanation:

Step1: Recall conversion factor

Since $1\ kg = 1000\ g$, to convert $0.049\ kg$ to $g$, we multiply by 1000.
$0.049\times1000 = 49$

Step2: Recall conversion factor for volume

We know that $1\ kl=1000\ L$. To convert $3\ kl$ to $L$, we multiply by 1000.
$3\times1000 = 3000$

Step3: Recall conversion factor for mass

Since $1\ g = 1000\ mg$, to convert $150\ mg$ to $g$, we divide by 1000.
$150\div1000=0.15$

Step4: Recall conversion factor for volume

Given $1\ dm^{3}=1000\ ml$, to convert $1.18\ dm^{3}$ to $ml$, we multiply by 1000.
$1.18\times1000 = 1180$

Step5: Recall conversion factor for length

If $1\ pie = 30.48\ cm$, to convert $523$ pies to $cm$, we multiply by 30.48.
$523\times30.48 = 15940.04$

Step6: Recall conversion factor for volume

Since $1\ L = 1\ dm^{3}$, to convert $4.19\ L$ to $dm^{3}$, the value remains the same.
$4.19$

Step7: Recall conversion factor for area

Since $1\ m = 100\ cm$, then $1\ m^{2}=(100)^{2}\ cm^{2}=10000\ cm^{2}$. To convert $310000\ cm^{2}$ to $m^{2}$, we divide by 10000.
$310000\div10000 = 31$

Answer:

a. 49 g
b. 3000 L
c. 0.15 g
d. 1180 ml
e. 15940.04 cm
f. 4.19 $dm^{3}$
g. 31 $m^{2}$