Mathematical tools unit conversion and significant figures

Mathematical toolsunit conversionMs. Arra C. QuitanegTOOLSLANGUAGEMATHEMATICSPHYSICAL QUANTITIES quantities which describe matter Fundamental Quantities Derived QuantitiesUnits and unit conversionQUANTITYSYMBOLUNITLength lm (meter) Massmkg (kilogram)Time ts (second)Electric current IA (ampere)TemperatureTK (Kelvin)Typical Lengths or DistancesLength or distanceMetersSize of an atom1 x 10-10 mSize of a red blood cell 8 x 10-6 mTypical height of a person 1.75 m Typical MassesObjectMass (kg)DNA molecule10-17 kgBacterium10-15 kgMosquito10-5 kgmeasurementMeasurement of any quantity is made relative to a particular standard or unit. This unit must be specified along with the numerical value of the quantity. Metric system is based on the meter as the standard unit of reference. It is a decimal system and has a common multiplier and divisor of 10.

Example: 7 millimeters is 0.7 centimeter 9000 grams is 9 kilograms English system is based on the foot as the standard unit of reference.

Example: 0.583333 feet is 0.19444 yard

Prefixes used for unitsTeraT1012GigaG109MegaM106kilok103hectoh102dekada101100decid10-1centic10-2millim10-3micro 10-6nanon10-9picop10-12femtof10-15Unit conversion exercises: Convert the following: 25 m to _____ km300 km to ______ nm28 Ms to _______ms5 dm to _______m10 dm to ______nm500 m/s to _______km/h800 g to ________ kg200 L to ______ mL35 cm/s to _____ m/s56 hm to _____m SeatworkConvert the following: 5 km to _____ m23 nm to ______ km50 Ms to _______ms10 m to _______dm15 mm to ______nm45 m/s to _______km/h45 kg to ________ mg500 mL to ______ L35 m/h to _____ cm/s180 dm to _____m English SystemMetric System1 inch2.54 centimeters1 foot30.48 centimeters1 yard0.91 meter1 mile1.61 kilometer1 ounce28.35 grams1 pound0.45 kilogram1 acre0.40 hectare1 tablespoon3 teaspoons1 gallon3.79 litersWhats the length of the 100 m dash expressed in yards?A round cell membrane has an area of 1.25 square inches. Express this in square centimeters.The posted speed limit is 55 miles per hour, what is this speed in a) meters per second (m/s) and b) kilometers per hour.A typical atom has a diameter of about 1 x 10-10 m. What is this in inches?applicationDOSAGE CALCULATION

Note: Units for required dose and stock dose must be the sameexamplesHow many tablets containing 62.5 g will be required to give a dose of 0.125 mg?

A client is ordered 2.5 grams of Neomycin sulphate. 500 milligram tablets are available. How many tablets will you give?

FLUID DOSAGE

Examples:

A client is ordered 15 mg of stemetil. You have 2mL of solution on hand which contains 25 mg Stemetil. What volume of solution should you give?A client is ordered 50 mg of Aminophylline intravenously. 250 milligrams in 10 milliliters of liquid for IV injection is available. How many milliliters will you administer?