Unit Conversions Units of Measurement Conversion Factors SI

SI Measurements The international system of measurement The metric system A set of agreed-upon

SI Units Prefixes are added to base units to represent larger or smaller quantities

$Conversion factors A ratio (fraction) that shows the equality of two different units. Used$

Example We know that 4 quarters = 1 dollar Conversion factors: 4 quarters =

Steps for solving problems: 1. Write down the number given to change (the value

Example 1 Convert 180 miles into feet. Given: 1 mile = 5, 280 feet

Example 2 Convert 27 days into seconds. What givens do we know?

Example 3 If prefixes are used, always go back to your base unit and

Sample Problems Complete the following and determine what kind of measurement it represents (mass/volume/etc.

Unit Conversions Worksheet For each problem, follow the guidelines: --Keep dropping your unit! --Watch

Units m=meter min=minutes s=seconds mi=miles gal=gallons g=grams k=kilo--____

Multi-Step Problem 12. 4 cm=_____ km 133 m. L=_____ gallons 64. 33 mi= _____

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Unit Conversions Units of Measurement Conversion Factors

SI Measurements The international system of measurement The metric system A set of agreed-upon standard units of measurement Numbers are written without commas 1 000. 00 not 1, 000. 00 Some countries use commas to represent a decimal point.

SI Units Prefixes are added to base units to represent larger or smaller quantities and measurements Base Units: Mass = grams (g) Volume = Liters (L) or cubic meters (m 3) Length = meters (m) Time = second (s) Temperature = Kelvin (K) Amount of a substance = moles (n) (1 m. L = 1 cm 3)

$Conversion factors A ratio (fraction) that shows the equality of two different units. Used$

Conversion factors A ratio (fraction) that shows the equality of two different units. Used to convert from one unit to another Written as FRACTIONS Can be written upside down too! Dimensional Analysis = a math technique for solving problems that involve measurements

Example We know that 4 quarters = 1 dollar Conversion factors: 4 quarters = 1 OR 1 dollar = 1 4 quarters 1 quarter = 1 OR 0. 25 dollar = 1 1 quarter If I have 27 quarters, how much money do I have in dollars? 27 quarters x 1 dollar 4 quarters = 27 ÷ 4 = $6. 75

Steps for solving problems: 1. Write down the number given to change (the value in the question/problem). 2. Drop the unit that goes with the number to the bottom of the next fraction. 3. Each ratio (or fraction) you multiply is a known quantity (like 4 quarters=1 dollar). 4. Keep multiplying by ratios that you know until you come to the unit you want to end with.

Example 1 Convert 180 miles into feet. Given: 1 mile = 5, 280 feet

Example 2 Convert 27 days into seconds. What givens do we know?

Example 3 If prefixes are used, always go back to your base unit and kick off from there. Ex: Convert 22 kilograms into centigrams.

Sample Problems Complete the following and determine what kind of measurement it represents (mass/volume/etc. ): 1. 10. 5 g = ______ kg 2. 1. 57 km = ______ m 3. 54 μg = _____ g 4. 1. 2 L = _______ m. L 5. 932 seconds = ______ minutes 6. 548. 6 m. L = ______ cm 3

Unit Conversions Worksheet For each problem, follow the guidelines: --Keep dropping your unit! --Watch parentheses! --Include units in the answer! --Prefix with base only

Units m=meter min=minutes s=seconds mi=miles gal=gallons g=grams k=kilo--____

Multi-Step Problem 12. 4 cm=_____ km 133 m. L=_____ gallons 64. 33 mi= _____ yards