Equalities State the same measurement in two different units length 254 mm

Some Metric Equalities Length 1 m = 100 cm Mass 1 kg = 1000 g Volume 1 L = 1000 mL

Learning Check C. 0.1 L = 1 ___ 1) mL 2) cL 3) dL A. 1000 m = 1 ___ 1) mm 2) km 3) dm B. 0.001 g = 1 ___ 1) mg 2) kg 3) dg C. 0.1 L = 1 ___ 1) mL 2) cL 3) dL D. 0.01 m = 1 ___ 1) mm 2) cm 3) dm

Solution C. 0.1 L = 1 ___ 3) dL D. 0.01 m = 1 ___ 2) cm A. 1000 m = 1 ___ 2) km B. 0.001 g = 1 ___ 1) mg C. 0.1 L = 1 ___ 3) dL D. 0.01 m = 1 ___ 2) cm

Learning Check Give the value of the following units: A. 1 kg = ____ g 1) 10 g 2) 100 g 3) 1000 g B. 1 mm = ____ m 1) 0.001 m 2) 0.01 m 3) 0.1 m

Solution A. 1 kg = ____ g 3) 1000 g B. 1 mm = ____ m 1) 0.001 m

Some American Equalities 1 ft = inches 1 lb = 16 oz 1 quart = pints 1 quart = 4 cups Why are the quantities in each pair equal?

Some American Equalities 1 ft = 12 inches 1 lb = 16 oz 1 quart = 2 pints 1 quart = 4 cups The quantities in each pair give the same measured amount in two different units.

Some Metric-American Equalities 1 in. = 2.54 cm 1 qt = 946 mL 1 L = 1.06 qt 1 lb = 454 g 1 kg = 2.20 lb

Equalities given in a Problem Example 1 At the store, the price of one pound of red peppers is $2.39. Equality: 1 lb red peppers = $2.39 Example 2 At the gas station, one gallon of gas is $1.34. Equality: 1 gallon of gas = $1.34

Conversion factors “A ratio of equalities or equivalent measurements.” Start with two quantities that are the same. One meter is one hundred centimeters Write it as an equation. 1 m = 100 cm Can divide each side by either quantity to equal 1.

Conversion factors 100 cm 1 m = 100 cm 1 m = = 1 100 cm Can divide each side by 100 cm to equal 1 100 cm 1 m = = 1 100 cm

Conversion factors 1 m 1 = 100 cm

Conversion factors 1 m 1 = 100 cm 100 cm = 1 m 1 = 1 m

Conversion factors 1 m 1 = 100 cm 1 100 cm = 1 m

Conversion factors Called conversion factors because they allow us to convert units. Really just multiplying quantities by 1. Exact quantities so they have unlimited significant figures. Equivalence statements always have this relationship. big # small unit = small # big unit 1000 mm = 1 m

Learning Check A. Liters and mL B. Hours and minutes Write conversion factors that relate each of the following pairs of units: A. Liters and mL B. Hours and minutes D. Meters and kilometers

Solution A. liters and mL 1 L = 1000 mL 1 L and 1000 mL 1000 mL 1 L B. hours and minutes 1 hr = 60 min 1 hr and 60 min 60 min 1 hr C. meters and kilometers 1 km = 1000 m 1 km and 1000 m 1000 m 1 km

Write the conversion factors for the following kilograms to grams feet to inches 1.096 qt. = 1.00 L