Meters Centimeters Ratios and Examples Unit Conversions

Ratios Distance- US 1 inch= 2.54 centimeters 1 foot= 12 inches 1mile= 5280 feet 1 yard= 36 inches 1 mile= 5280 feet 1 yard=3 feet

Ratios Distance- Metric 1 centimeter= 10 millimeters 1 meter=100 centimeters 1 meter=1000 millimeters 1 kilometer= 1000 meters 1 meter= 39.37 inches 1 meter= 1.06x10^-16 Light years 1 meter= 0.00021 miles 1 meter= 1.0936 yards 1 meter=3.28 feet

Ratios Volume- US 1 cup= 8 ounces 1 pint= 2 cups 1 quart= 2 pints 1 Gallon= 4 quarts

Ratios Temperatures 1 Kelvin= -272.15 oC 1 Kelvin= -457.87oF oC= (oF-32) 1.8

Ratios Time 1 minute= 60 seconds 1 hour= 60 minutes 1 day= 24 hours 1 week= 7 days 1 year= 52 weeks 1 decade= 10 years 1 century= 10 decades

Ratios Weight/Mass 1 kilogram=1000 grams 1 gram= 1000 milligrams 1 gram= 0.0022 pounds 1 gram= o.o35 ounces 1 gram= 1.102x10^-6 tons 1 pound= 16 ounces 1 ton= 2000 pounds

Ratios Volume 1 Liter= 0.001 cubic meters 1 Liter= 1000 milliliters 1 Liter= 0.264 gallons 1 Liter= 1.056 quarts 1 Liter= 2.113 pints 1 Liter= 4.227 cups 1 Liter=33.8 fluid ounces 1 Liter= 0.035 cubic feet

Why Use It? When different units are used, sometimes it makes the numbers easier to manipulate Very large and very small numbers are easier to work with after they are either made smaller or larger Some equations call for a specific unit

How do you convert to a different unit? Start by making a grid like this Next put the unit that you have in the upper left hand space e.g. Meters

How do you convert to a different unit? Next place the unit you want to get to in the far upper right hand space. Meters Centimeters

How do you convert to a different unit? Now we need to determine what goes into the middle. This will be a ratio of the unit you have and the unit you want. For this example we can use the relationship between meters and centimeters Meters Centimeters Centimeters Meters

How do you convert to a different unit? Which unit do you put on top and which unit to put on the bottom? The unit on bottom much be diagonal to the unit you already have. Meters Centimeters Centimeters Meters

Using more than one step to get a new unit Follow the same rules e.g. Kilograms milligrams Go from Kilograms to grams, then grams to milligrams Kilograms Grams milligrams milligrams Kilograms Grams

Now let’s add some numbers Remember: in ratios the number 1 ALWAYS goes with the larger unit. 2 Meters 100 Centimeters 200 Centimeters 1 Meter Larger Unit

Unit Conversion Calculations How do you actually calculate how much of something you have in the new units? Every time you see a vertical line multiply Every time you see a horizontal line divide 2Meters 100 Centimeters 200 Centimeters 1 Meter 2 Meters 100 Centimeters 200 Centimeters

Unit Conversion We can also go from smaller units to larger units following the same method. 560 mg 1 g 0.56 g 1000mg Note: The matching units are still diagonal to each other and the 1 goes with the larger unit. Larger Unit Units match

Example Example: How many inches are in one mile? 1 mi 5280ft 12 in 63,360 inches 1mi 1 ft

Example Example: How many milligrams are there in a 0.56 g sample? 0.56 g 1000 mg 560 mg 1 g

Example Example: How many days are in 54,320 minutes? 54,320 minutes 1 hour 1 day 37.7 days 60 minutes 24 hours