FACTOR – LABEL Method ALWAYS works because of these two principles: A fraction equals ______ when the _______________ and __________________ are equivalent ONE NUMERATOR DENOMINATOR Anything ______________ by ONE is _______________ MULTIPLIED UNCHANGED

PRACTICE 3 days 255 in 24 hr 60 min 60 sec 1 day 1 hr 1 min 2.54 cm = 1 inch PRACTICE 3 days = _________ s 24 hr 60 min 60 sec 3 days X X X = 1 day 1 hr 1 min 255 inches = _________ m 255 in X

PRACTICE 2.54 cm = 1 inch 7,000 cm3 = ________ in3 600,000 s = ________ weeks

Factor Label in TWO Dimensions 1.61 km = 1 mile 1000 m = 1 km Factor Label in TWO Dimensions 25 m/s = ________ km/hr 180 mph = _________ m/s

Scientific Notation Writing numbers as powers of TEN 600,000 = 600,000 = 6 x 10 x 10 x 10 x 10 x 10 = 6 x 105 7  10  10  10  10  10 .00007 = 10 10 10 10 10 7 x x x x x 1 1 1 1 1 = = 7 x 1 105 = 7 x 10-5

34,000,000 = 3.4 x 107 .0000008 = 8 x 10-7 .000678 = 6.78 x 10-4 7.25 x 101 72.5 = .00000000099 = 9.9 x 10-10

1.1 x 10-20 Scientific Notation on Calculator EE Exp “ TIMES TEN TO THE ” Try this... 8.2 x 10-9 7.4 x 1011 1.1 x 10-20

Factor Label w/ Metric Prefixes METER m LITER l or L GRAM g BASE UNITS

Pico p 10-12 Tera T 1012 Nano n 10-9 Giga G 109 Micro 10-6 Mega M 106 Milli m 10-3 Kilo k 103 Centi c 10-2 Hecto h 102 Deci d 10-1 Deka da 101

8.1  L = ____________ML To base unit To desired unit 1 x 10-6 L 8.1 L 1 ML 8.1 x 10-12 ML X ---------------- X ---------------- = 1 L 1 x 106 L 25 pm = ______ cm

Significant Figures IMPORTANT NEEDED MEANINGFUL

Sig Fig Rules 1. Non-zeros ARE significant 124 3 sig figs 46.71 4 sig figs 2. Zeros between sig figs ARE significant 400,001 6 sig figs 30.5 3 sig figs 3. Place-holders ARE NOT significant 300 1 sig figs .0025 2 sig figs 4. Exact zeros ARE significant 3.00 3 sig figs .20 2 sig figs

90.02 2300 .00005 .0402 1.0020 4 sig figs 2 sig figs 1 sig fig 1. Non-zeros ARE significant 2. Zeros between non-zeros ARE significant 3. Place-holders ARE NOT significant 4. Exact zeros ARE significant 90.02 2300 .00005 .0402 1.0020 4 sig figs 2 sig figs 1 sig fig 3 sig figs 5 sig figs

200 200.0 2020 .002 .200 1 sig figs 4 sig figs 3 sig fig 3 sig figs 1. Non-zeros ARE significant 2. Zeros between sig figs ARE significant 3. Place-holders ARE NOT significant 4. Exact zeros ARE significant 200 200.0 2020 .002 .200 1 sig figs 4 sig figs 3 sig fig 3 sig figs

Rounding Sig Figs 20,000 23,000 23,500 23,460 23,456.79 1 sig fig

Rounding Sig Figs and Factor Label 8.1 m 100 cm 1 inch 318.8976 cm 1 m X ---------------- X ---------------- = 1 m 2.54 cm 320 cm 2 sig figs Round to 2 sig figs

Little Practice Paper quiz MON