Question

convert the following.

1. 720 milliliters → __________ liters
2. 1250 centimeters → __________ meters
3. 12.67 hectograms → __________ centigrams
4. 1395 milligrams → __________ dekagrams

$k = ^{circ}c + 273.15$

1. convert 212°f to °c

$^{circ}f=\frac{9}{5}^{circ}c + 32$

1. convert -20°c to °f

$^{circ}c=\frac{5}{9}(^{circ}f - 32)$

1. convert 300°c to k
2. the san andreas fault is approximately 750 miles long. convert this length into meters. 1 mile = 1.6 km 1 km = 1000 m

Explanation:

Step1: Convert milliliters to liters

Since 1 L = 1000 mL, $720\div1000 = 0.72$ L

Step2: Convert centimeters to meters

As 1 m = 100 cm, $1250\div100=12.5$ m

Step3: Convert hectograms to centigrams

1 hg = 10000 cg, so $12.67\times10000 = 126700$ cg

Step4: Convert milligrams to dekagrams

1 dag = 10000 mg, $1395\div10000=0.1395$ dag

Step5: Convert °F to °C

Using $^{\circ}C=\frac{5}{9}(^{\circ}F - 32)$, $\frac{5}{9}(212 - 32)=\frac{5}{9}\times180 = 100^{\circ}C$

Step6: Convert °C to °F

With $^{\circ}F=\frac{9}{5}^{\circ}C + 32$, $\frac{9}{5}\times(- 20)+32=-36 + 32=-4^{\circ}F$

Step7: Convert °C to K

Using $K = ^{\circ}C+273.15$, $300 + 273.15=573.15$ K

Step8: Convert miles to meters

$750\times1.6\times1000 = 1200000$ m

Answer:

1. 0.72
2. 12.5
3. 126700
4. 0.1395
5. 100
6. -4
7. 573.15
8. 1200000