x = 9 - weeblykcorchis.weebly.com/uploads/7/9/8/3/7983265/day_3_-_converting_between... · 1.)...
TRANSCRIPT
1.) Convert each imperial unit as indicated. a.) 10 inches to centimeters.
1 inch = 2.54 cm *set up ratios, cross multiple and solve. 10 inches = x cm
x = 10 x 2.54 x = 25.4 cm
* therefore there are 25.4cm in 10 inches.
b.) 120 lbs to kilograms.
1 pound = 454 grams 120 pounds = x grams x = 120 x 454 * change to grams 1st, then x = 54 450 grams change grams to kilograms. 1 kilogram = 1000 grams x kilograms = 54 450 grams x = 54 450 ÷ 1000 x = 54.45kg
*therefore there are 54.45 kilograms in 120 pounds.
c.) 2.5 gal to liters.
1 gal = 3.79L 2.5 gal = x L x = 2.5 x 3.79 x = 9.475
* Therefore there are 9.475L in 2.5 gallons. d.) 18oz to grams.
1 oz = 28.35 grams 18oz = x grams x = 18 x 28.35 x = 510.3
*Therefore, there are 510.3 grams in 18oz. e.) 6ft to meters.
1 ft = 30.48cm *change ft to cm first, then change cm to m. 6 ft = x cm x = 182.88 cm
1 m = 100 cm x m = 182.88cm x = 1.8288
*Therefore, there are 1.8288m in 6 ft.
f.) 1500 mi to kilometers.
1 mi = 1.609 km 1500mil = x km x = 1.609 x 1500 x = 2413.5
* therefore, there are 2413.5 km in 1500 miles. g.) 2.7 qt to liters.
1 qt = 0.95 L 2.7 qt = x L x = 0.95 x 2.7 x = 2.57
* therefore, there are 2.57 L in 2.7 quarts.
1.) Convert each metric unit as indicated. a.) 58cm to inches.
1 cm = 0.3937 inches 58cm = x inches x = 58 x 0.3937 x = 22.8346
* therefore, there are 22.83 inches in 58 cm. b.) 500 mL to fluid ounces.
1 mL = 0.034 fl oz 500mL = x fl oz x = 500 x 0.034 x = 17
* therefore, there are 17 fl oz in 500 mL.
c. ) 40L to gallons.
1 L = 0.26 gal 40L = x gal x = 40 x 0.26 x = 10.6
* therefore, there are 10.6 gallons in 40 L. d.) 500g to oz.
1 g = 0.0035 oz 500g = x oz x = 500 x 0.0035 x = 17.5
*therefore, there are 17.5 oz in 500 grams. e.) 40L to quarts.
1 L = 1.06 qts 40 L = x qts x = 40 x 1.06 x = 42.4
*therefore, there are 42.4 quarts in 40 L.
f.) 25.2 kg to pounds.
1 kg = 2.2 lbs 25.3 kg = x lbs x = 2.2 x 25.3 x = 55.44
* therefore, there are 55.44 pounds in 25.2 kilograms. g.) 62.75 km to miles.
1 km = 0.6 mi 62.75 = x mi x = 62.75 x 0.6 x = 37.65
* therefore, there are 37.65 miles in 62.75 kilometers.
1.) To convert Fahrenheit (˚F) to Celsius (˚C).
-32 = x5 = ÷9 =
Example: Convert 78˚F to ˚C.
Solution:
78 – 32 = 46 46 x 5 = 230 230 ÷ 9 = 25.5
* therefore, at 78˚F it is 25.5˚C.
2.) To convert Celsius (˚C) to Fahrenheit (˚F).
x 9 = ÷ 5 = +32 =
Example: Convert 20˚C to ˚F.
Solution:
20 x 9 = 180 180 ÷ 5 = 36 36 + 32 = 68
* therefore, at 20 ˚C it is 68 ˚F.
Millenium
Century
Decade
Year
Month*
Week
Day
Hour
Minute
Second
Example: How many hours are in one year?
Solution:
1 day = 24 hours 365 days = x hours x = 24 x 365 x = 8760
* therefore, there are 8760 hours in one year.
› Handout