MEASUREMENT Unit Conversions C Johannesson A Metric Conversions

A. Metric Conversions Determine how many smaller units are needed to make the larger

A. Metric Conversions Smaller units Larger units Prefix mega- Symbol M Factor 106 kilo-

A. Metric Conversions 1) 20 cm = 0. 2 _______ m 2) 0. 032

B. Dimensional Analysis n The “Factor-Label” Method ¨ Units, or “labels” are canceled, or

B. Dimensional Analysis n Steps: 1. Identify starting & ending units. 2. Line up

B. Dimensional Analysis n Lining up conversion factors: 1 in = 2. 54 cm

Dimensional Analysis n qt How many milliliters are in 1. 00 quart of milk?

B. Dimensional Analysis n lb You have 1. 5 pounds of gold. Find its

B. Dimensional Analysis n How many liters of water would fill a container that

B. Dimensional Analysis 5) Your European hairdresser wants to cut your hair 8. 0

B. Dimensional Analysis 6) Taft football needs 550 cm for a 1 st down.

B. Dimensional Analysis 7) A piece of wire is 1. 3 m long. How

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MEASUREMENT Unit Conversions C. Johannesson

A. Metric Conversions Determine how many smaller units are needed to make the larger unit. 100 cm = 1 m C. Johannesson

A. Metric Conversions Smaller units Larger units Prefix mega- Symbol M Factor 106 kilo- k 103 BASE UNIT --- 100 deci- d 10 -1 centi- c 10 -2 milli- m 10 -3 micro- 10 -6 nano- n 10 -9 p 10 -12 pico- C. Johannesson

A. Metric Conversions 1) 20 cm = 0. 2 _______ m 2) 0. 032 L = 32 _______ m. L 3) 45 m = 45, 000 _______ nm 4) 805 dm = 0. 0805 _______ km C. Johannesson

B. Dimensional Analysis n The “Factor-Label” Method ¨ Units, or “labels” are canceled, or “factored” out C. Johannesson

B. Dimensional Analysis n Steps: 1. Identify starting & ending units. 2. Line up conversion factors so units cancel. 3. Multiply all top numbers & divide by each bottom number. 4. Check units & answer. C. Johannesson

B. Dimensional Analysis n Lining up conversion factors: 1 in = 2. 54 cm =1 2. 54 cm 1 in = 2. 54 cm 1= 1 in C. Johannesson

Dimensional Analysis n qt How many milliliters are in 1. 00 quart of milk? m. L 1. 00 qt 1 L 1000 m. L 1. 057 qt 1 L C. Johannesson = 946 m. L

B. Dimensional Analysis n lb You have 1. 5 pounds of gold. Find its volume in cm 3 if the density of gold is 19. 3 g/cm 3. cm 3 1. 5 lb 1 kg 2. 2 lb 1000 g 1 cm 3 1 kg 19. 3 g C. Johannesson = 35 cm 3

B. Dimensional Analysis n How many liters of water would fill a container that measures 75. 0 in 3? in 3 L 1 L 75. 0 in 3 (2. 54 cm)3 (1 in)3 1000 cm 3 C. Johannesson = 1. 23 L

B. Dimensional Analysis 5) Your European hairdresser wants to cut your hair 8. 0 cm shorter. How many inches will he be cutting off? cm in 8. 0 cm 1 in 2. 54 cm = 3. 2 in C. Johannesson

B. Dimensional Analysis 6) Taft football needs 550 cm for a 1 st down. How many yards is this? cm 550 cm 1 in 1 ft 1 yd 2. 54 cm 12 in 3 ft C. Johannesson = 6. 0 yd yd

B. Dimensional Analysis 7) A piece of wire is 1. 3 m long. How many 1. 5 -cm pieces can be cut from this wire? cm 1. 3 m pieces 100 cm 1 piece 1 m 1. 5 cm C. Johannesson = 86 pieces