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Prefixes and Conversion

Prefixes and Conversion. Prefixes and Conversions. Prefixes are used to eliminate zeros from a given value. Conversions change the numeric value of a measurement from one prefix’s value to another prefix’s value.

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Prefixes and Conversion

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  1. Prefixes and Conversion

  2. Prefixes and Conversions • Prefixes are used to eliminate zeros from a given value. • Conversionschange the numeric value of a measurement from one prefix’s value to another prefix’s value. • “Whole values” are: VOLTS AMPS OHMS FARAD HERTZ (C.P.S.) • “Whole values” have all of the zeros or decimal places in their number value: 3000 volts1000 amps . 5,000,000 ohms. 0.000001 farads • Prefixes are added to “whole value”electrical measurements to eliminate zeros or decimal places: • 3 K volts1 K amps • 5M ohms 1uf

  3. Prefixes and their relationship to “whole values” Prefix Symbol Move decimal pt. Value Mega= 1,000,000 M + 6 places1 M Kilo= 1,000K + 3 places 1 K “whole values” AmpVoltOhmFarad Hertz (C.P.S.) milli= 0.001 m - 3 places 1 m micro= 0.000001 u - 6 places 1 u nano= 0. 000000001 n -9 places 1n pico= 0. 000000000001 p -12 places 1p

  4. Prefixes: Symbol: Mega = + 6 1 M Kilo = + 3 1 K Whole values = 0 milli = - 3 1 m micro = -6 1 u nano = -9 1 n pico = -12 1 p Key to Remember 3 steps You move in steps of 3 between prefixes 3 steps 3 steps 3 steps

  5. Converting from Whole Number Left Prefixes: Symbol: Mega = + 6 1 M Kilo = + 3 1 K Whole values = 0 milli = - 3 1 m micro = -6 1 u nano = -9 1 n pico = -12 1 p Right Which way decimal point moved Moving decimal point left Convert the following: 5,000,000.0 ohms • Determine how many decimal places to move from decimal point to achieve desired value (in this case 5_) • 6 • 2. Which way would I move the decimal point to change the number ? • Left • 3. What prefix will be used? • M • 4. Move the decimal to produce the correct answer. 5,000,000.0 = 5 M ohms

  6. Examples for class to work out • Convert the following whole numbers to the appropriate prefix which minimizes the number of zeros. • 25,000,000 = ___ 256,000 = ____ • 12,000 = ___ 3,100,000 = ___ • 1,000 = ___ 780,000,000 = ___ • 900 = ____ 1,020,000 = ___ ____

  7. Left Prefixes: Symbol: Mega = + 6 1 M Kilo = + 3 1 K Whole values = 0 milli = - 3 1 m micro = -6 1 u nano = -9 1 n pico = -12 1 p Right Which way decimal point moved Move decimal point right Converting from Whole Number Convert the following: 0.000001 f • Determine how many decimal places to move from decimal point to achieve desired value (in this case 1_) • 6 • 2. Which way would I move the decimal point to change the number ? • Right • 3. What prefix will be used? • u • 4. Move the decimal to produce the correct answer. 0.000001 f = 1 uf

  8. Examples for class to work out • Convert the following whole numbers to the appropriate prefix which minimizes the number of zeros. • 0.001 = ____ 0.00001 = ____ • 0.07 = ____ 0.000000002 = ___ • 0.000000000010 = ___ 0.000000025 = ___ • 0.0000047 = ____ 0.0000000039 = ___

  9. Changing between Prefixes • Sometimes it is desired to change between prefixes. For example: • 0.5M to 500K • 1.2nF to 1200pF • 10000nf to 0.01uf • Why? • ½ million sounds bigger than 500K. • Standard way to specify capacitors is in pF • Meters read easier with fewer numbers.

  10. 6pl Prefix to Prefix Conversion Decimal Point • Converting from one prefix to another • Using the scale above, circle the prefix that matches the number you are starting with. • Circle the prefix you want to convert to. • Count the tick marks between the two circles to determine the number of decimal places to move. • Move the decimal point in the same direction as moving from the first circle to second circle and change the prefix letter. Convert 1200p to _u 0.00 1200p = 0.0012u

  11. Problems to work in class • Perform the following prefix to prefix conversions. • 1000p = _____u 120p = ____u • 0.1u = ______n 0.01u =______p • 1n = _______ p 4700p =_____n • 100m = _____K 1100K = _____M • 4M = _____K 3G = ____M

  12. Using Prefixes in Programs • Prefixes can be used in calculators and Excel. • In a Calculator, you usually have a button labeled EE or in Excel you enter “e” to represent 10 to some power. The table below are cross references on what you would enter. • No prefix Prefix Calculator Excel • 1,000,000 1M 1 EE 6 1 e 6 • 1,000 1K 1 EE 3 1 e 3 • 0.001 1m 1 EE -3 1 e –3 • 0.000001 1u 1 EE –6 1 e –6 • 0.000000001 1n 1 EE –9 1 e –9 • 0.000000000001 1p 1 EE-12 1 e –12 • Note that the number to the right of “EE’ or “e” represents how many places to move the decimal point and which way to move. A positive number mean move the decimal point to the left. A negative number means move the decimal number to the right.

  13. How Prefix is applied • Meters are limited in number of digits it can display. • Prefixes are built into the meter. • The numbers on the meter show the maximum value. • If 200uA is selected, the maximum reading is 199uA • If 1 is displayed on 200u A scale, what does this mean? • 1uA or 0.000001A

  14. Meter Problems Convert the following meter readings to whole numbers Meter Scale Reading Whole Number 200m 20 ____________ 200u 36 ____________ 200K 27 ____________ 20K 5.6 ____________ 2000 10 ____________ 20m 16 ____________

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