Unit 1 MEASUREMENT III Unit Conversions A SI

Unit 1 - MEASUREMENT III. Unit Conversions A. SI Prefix Conversions I II III and Metric Measurements B. Dimensional Analysis

A. SI Prefix Conversions 1. Find the difference between the exponents of the two prefixes. 2. Move the decimal that many places. To the left or right? C. Johannesson

A. SI Prefix Conversions 532 m NUMBER UNIT 0. 532 km = _______ = C. Johannesson NUMBER UNIT

A. SI Prefix Conversions move right move left 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 pico- C. Johannesson p 10 -12

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

SI Units and Measurements Ø Now you will work on Metrics and Measurements practice.

Unit 1 - MEASUREMENT III. Unit Conversions A. SI Prefix Conversions and I II III Metric Measurements B. Dimensional C. Johannesson

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

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

B. Dimensional Analysis 1. How many milliliters are in 1. 00 quart of milk? Start w/ qt units 1. 00 qt qt End w/ m. L units 1 L 1000 m. L 1. 057 qt 1 L C. Johannesson = 946 m. L

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

B. Dimensional Analysis 3. How many liters of water would fill a container that measures 75. 0 in 3? in 3 L 16. 4 cm 3 1 L 75. 0 in 3 (2. 54 cm)3 (1 in)3 1000 cm 3 C. Johannesson = 1. 23 L

B. Dimensional Analysis 4) 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 5) Taft football needs 550 cm for a 1 st down. How many yards is this? cm 550 cm yd 1 in 1 ft 1 yd 2. 54 cm 12 in 3 ft C. Johannesson = 6. 0 yd

B. Dimensional Analysis 6) A piece of wire is 1. 3 m long. How many 1. 5 cm pieces can be cut from this wire? cm pieces 1. 3 m 100 cm 1 m 1 piece 1. 5 cm C. Johannesson = 86 pieces