Dimensional Analysis

NEVER write a measurement in a fraction form! 6 ½ mm 6.5 mm NEVER use inches in science Each small Space between division is millimeters large numbers (or mm) is centimeters (or cm) NEVER write a measurement in a fraction form! 6 ½ mm 6.5 mm

Dimensional Analysis Dimensional analysis- finding the proper units to measure in Science measures in the metric system! Meters measure _______________ Liters measure_________________ Grams measure________________ Base Units

Prefixes go BEFORE the unit Size Examples Nano: 1/1,000,000,000 Nano Technology (1 billionth) Micro: 1/1,000,000 Compound Microscopes (1 millionth) Milli: 1/1,000 Small divisions on ruler (1 thousandth) Centi: 1/100 Large divisions on ruler (1 hundredth) Deci: 1/10 Measure watch size (1 tenth) UNIT (meters, liters, grams) Deca: 10 Measure rooms (ten) Hecto: 100 Measure plots of land (hundred) Kilo: 1,000 Long drivable distances (thousand) Mega: 1,000,000 Larger than the circumference (million) of the earth Giga: 1,000,000,000 Larger than the circumference (billion) of earth

Challenge! What unit would 1,000 grams be measured in? 1 ________________________ What unit would 10,000 liters be measured in? 1 ___________________________ What unit would 1/100,000 meters be measured in? 1 _____________________________

Conversions giga mega kilo hecto deca Unit deci centi milli micro nano Step 1: Determine if move decimal point left or right Step 2: Determine how many spaces move the decimal point giga mega kilo hecto deca Unit deci centi milli micro nano G M k h da d c m µ n 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 As units get BIGGER, move the decimal point to the LEFT As units get SMALLER, move the decimal point to the RIGHT Examples: 1000 mg = _____ g 1 L = __________ mL

English to Metric Conversions Conversion Table 1 inch = 2.54 cm 1 gallon = 3.79 L 1 oz = 29.57 mL 1 yard = 0.91 m 1 lb = 0.45 kg 1 ft = 0.30 m 1 oz = 28.35 g Find units in conversion table similar to in the problem & write the conversion Cross multiply fractions 1st fraction: Left side of original equation in numerator, right side (x) in denominator 2nd fraction: Set up so units are diagonal from original fraction Multiply when in numerator, divide when in denominator 50 gallons = ________ mL

You Try! 20 oz = ____________ kg

Challenge: Convert Among Different Types of Units (Apples to Oranges) You will be given a conversion example Set up fractions so that the units cancel out Multiply! Example: 12 gallons = ______ miles (25 miles per gallon)