Skip to Main Content  # The Student Success Commons at York County Community College: Units and Conversions

## Temperature

 TO CONVERT TO FORMULA Celsius (C) Fahrenheit (F) Multiply by 1.8, then add 32i.e., F = 1.8C + 32 Fahrenheit (F) Celsius (C) Subtract 32, then divide by 1.8i.e., C = (F - 32)/1.8 Celsius (C) Kelvin (K) add 273.15i.e., K = C + 273.15

## Trigonometry Units

There are various ways to measure angles:

• Degrees: there are 360° in a circle
• Minutes: there are 21,600 minutes in a circle
• Seconds: There are 1,296,000 seconds in a circle

Note: the minutes and seconds used in trigonometry do not refer to measures of time, they refer to angle measurements.

## Trigonometry conversions

 TO CONVERT TO MULTIPLY BY degrees radians (π ÷ 180°) radians degrees (180° ÷ π) degrees minutes 60 degrees seconds 3,600 minutes seconds 60 minutes degrees (1 ÷ 60) seconds degrees (1 ÷ 3,600)

## Time

• SECOND
• 60 seconds = 1 minute
• 3,600 seconds = 1 hour
• 86,400 seconds = 1 day
• MINUTE
• 60 minutes = 1 hour
• 1,440 minutes = 1 day
• 10,080 minutes = 1 week
• HOUR
• 24 hours = 1 day
• 168 hours = 1 week
• DAY
• 7 days = 1 week
• 365 days = 1 year
• WEEK
• 4 weeks =  1 month
• 52 weeks = 1 year
• MONTH
• 12 months = 1 year
• YEAR
• 10 years =  1 decade

## Imperial (U.S. customary) units

 LENGTH inches (in) feet (ft) yards (yd) miles (mi) MASS ounce (oz) pound (lb) ton (t) VOLUME teaspoons (tsp) tablespoons (tbsp) cups (c) pints (pt) quarts (qt) gallons (gal)

## Imperial to imperial conversions

#### LENGTH

 TO CONVERT TO OPERATION inches feet divide by 12 inches yards divide by 36 feet yards divide by 3 feet miles divide by 5280 yards miles divide by 1760

#### MASS

 TO CONVERT TO OPERATION ounces pounds divide by 16 pounds tons divide by 2000

#### VOLUME

 TO CONVERT TO OPERATION teaspoon tablespoon divide by 3 tablespoon fluid ounce divide by 2 fluid ounce cup divide by 8.115 cup pint divide by 1.972 pint quart divide by 2 quart gallon divide by 4

## Metric units

The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.

 LENGTH Meter (m) MASS Gram (g) VOLUME Liter (L)

Metric system prefixes tell you how much bigger or smaller a unit is than the base unit. These prefixes are all powers of 10, which makes converting from one metric measurement to another very simple. Here are some common prefixes.

KILO: 1,000 × Base
HECTO: 100 × Base
DECA: 10 × Base
[BASE]
DECI: 0.1 × Base
CENTI: 0.01 × Base
MILLI: 0.001 × Base
MICRO: 0.000001 × Base

## Metric to metric conversions

One of the biggest advantages that the metric system offers is that its units scale by powers of 10. Because of this, converting within metric measurements is usually as easy as multiplying or dividing a given measurement by a power of 10 to find the new value (or, as a shortcut, simply moving its decimal point). Here are some examples, but we encourage you to examine the general process and practice converting metric to metric on your own to get the hang of the procedure.

 TO CONVERT TO OPERATION BECAUSE kilometers meters divide by 1,000 meters is 3 steps down from kilometers kilometers centimeters divide by 100,000 centimeters is 5 steps down from kilometers meters decameters multiply by 10 decameters is one step up from meters grams kilograms divide by 1,000 grams is 3 steps down from kilograms

## Metric to Imperial (U.S.) conversions (and vice versa)

#### LENGTH

 TO CONVERT TO OPERATION centimeters inches divide by 2.54 meters inches multiply by 39.37 meters feet multiply by 3.281 meters yards multiply by 1.094 meters miles divide by 1609.34 kilometers miles divide by 1.6093

#### MASS

 TO CONVERT TO OPERATION grams ounces divide by 28.3495 kilograms ounces multiply by 35.274 pounds grams multiply by 453.592 kilograms pounds multiply by 2.205 kilograms tons divide by 907.184

#### VOLUME

 TO CONVERT TO OPERATION milliliters teaspoon divide by 4.92892 (some texts just use 5) milliliters tablespoon divide by 14.7868 (some texts just use 15) liter fluid ounce multiply by 33.814 liter cup multiply by 4.167 liter gallon divide by 3.78541178