Question

use the conversion factors below. metric interconversions are assumed to be known (ex. cm to m). kilo- hecto- deka- basic unit deci- centi- milli- 1 mile = 5280 feet 1 foot = 12 inches 1 inch = 2.54 cm 1 mile = 1609 m 1 pound = 16 ounces 1.00 pound = 454 grams 1 yard = 3 feet 1 gal = 128 fluid ounces 1 gallon = 4 quarts 1 pint = 16 fluid ounces 1 ton = 2000 pounds 1 quart = 2 pints 1.00 liter = 1.06 quarts 1 milliliter = 1 cm³ 8. 1 mile = __ kilometer 9. 8 fl. ounces = gallons 10. 1 ton = grams 11. 35.3 centiliters = fl. ounces 12. 1 pound = milligrams 13. 1 inch = __ millimeters

Explanation:

Step1: Convert miles to kilometers

Given 1 mile = 1609 m, and 1 km = 1000 m. So, 1 mile in km is $\frac{1609}{1000}=1.609$ km.

Step2: Convert fluid - ounces to gallons

Since 1 gal = 128 fl. ounces, then 8 fl. ounces in gallons is $\frac{8}{128}=0.0625$ gal.

Step3: Convert tons to grams

1 ton = 2000 pounds and 1.00 pound = 454 grams. So, 1 ton in grams is $2000\times454 = 908000$ g.

Step4: Convert centiliters to fluid - ounces

1 liter = 100 centiliters and 1.00 liter = 1.06 quarts, 1 quart = 2 pints, 1 pint = 16 fluid ounces. First, 35.3 centiliters is $\frac{35.3}{100}$ liters. Then, $\frac{35.3}{100}\times1.06$ quarts, $\frac{35.3}{100}\times1.06\times2$ pints, and $\frac{35.3}{100}\times1.06\times2\times16\approx 12.0$ fl. ounces.

Step5: Convert pounds to milligrams

1.00 pound = 454 grams and 1 gram = 1000 milligrams. So, 1 pound in milligrams is $454\times1000 = 454000$ mg.

Step6: Convert inches to millimeters

1 inch = 2.54 cm and 1 cm = 10 mm. So, 1 inch in millimeters is $2.54\times10=25.4$ mm.

Answer:

1. 1.609
2. 0.0625
3. 908000
4. 12.0
5. 454000
6. 25.4