Dimensional Analysis for Conversions

Write the KNOWN, identify the UNKNOWN.  EX. How many quarts is 9.3 cups? 9.3 cups? quarts=

Write the KNOWN, identify the UNKNOWN.  EX. How many quarts is 9.3 cups? 9.3 cups? quarts=

Draw the dimensional “jumps”. 9.3 cups? quarts= 9.3 cupsx * Use charts or tables to find relationships

Insert relationship so units cancel. 9.3 cupsx cups *units of known in denominator (bottom) first *** units of unknowns in numerator (top quart 4 1

Cancel units 9.3 cupsx cups quart 4 1

Do Math 9.3 cupsx cups quart 4 1 Follow order of operations! Multiply values in numerator If necessary multiply values in denominator Divide.

Do the Math 9.3 cupsx cups quart x 4 = 9.3 x 1 4 = 9.3 =2.325 quarts

Try this: 1.How many seconds are in 6 minutes? ____ seconds (6o seconds = 1 minute) 2.How many centimeters are in 27 inches? ____ centimeters (1 inch = 2.54 centimeters)

Metric Conversions Ladder Method T. Trimpe

Why do we need units of measurement?  If I tell you that I weight 200, it will make a difference whether it is pounds or kilograms.  Kilograms are 2.2 times heavier than a pound!

Systems of Measurement  The English system was based on the King’s measurement.  Inch was based on the width of his thumb  Feet were the length of one foot  Yards were the circumference of the king’s waist But what happens when the king dies and his son’s measurements are LARGER?

International System of Units (SI units)  Metrics are used by SCIENTISTS  Based on standardized measurements  Used worldwide.  Based on multiples.

KILO 1000 Units HECTO1 00 Units DEKA 10 Units DECI 0.1 Unit CENTI 0.01 Unit MILLI Unit Meters Liters Grams Ladder Method 1 2 3

Try these conversions using the ladder method mg = _______ g 1 L = _______ mL160 cm = _______ mm 14 km = _______ m109 g = _______ kg 250 m = _______ km Conversion Practice Compare using, or =. 56 cm 6 m 7 g 698 mg

Write the correct abbreviation for each metric unit. Kilogram _____ Milliliter _____ Kilometer _____ Meter _____ Centimeter _____ Gram _____ Liter _____ Milligram _____ Try these conversions mg = _______ g 5 L = _______ mL 16 cm = _______ mm 104 km = _______ m 198 g = _______ kg 2500 m = _______ km Metric Conversion Challenge