how to do metric conversions manually
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how to do metric conversions manuallySo the first thing we want toAnd I'll write theSo the prefix, kilo, sometimesThen if you have deci,Let me write this inSo we got the centi, now let'sSo the deka is rightNow, before I actuallyWe're going from a smallerAnd we can do itNow, we could just do it byLet's do it the first way. So if you have one dekaliter,That's liters. We're assuming that ourIt's going to be 100So every time you go down,So we have our answer:Now, the other way to do it isSo if we have one dekaliter--And they say, no, no, no, no. A dekaliter is a much largerSo 1 dekaliter has to beThis should be a large number,Now, how many litersSo 1 dekaliter is equalNow, if we wanted to convertWell, 1 liter is 100They're saying same theHere, writing 1 literAnd the reason why we flippedAnd we are done! Volume of rectangular prisms review Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501(c)(3) nonprofit organization. Donate or volunteer today. You can convert between the various different sizes by merely moving the decimal point the correct number of places. To convert between the various prefixes, and thus the variously-sized units, you just move up and down this list of prefixes, moving the decimal point as you go. To move to a smaller unit (a unit with a prefix some number of places further to the right in the listing), you move the decimal place to the right that same number of places, and vice versa.So I move the decimal point five places to the right, filling in the extra space with zeroes: In this case, after moving the decimal point and adding the zeroes, I get: So I move the decimal point five places to the left, filling in the empty spots after the decimal point with zeroes: Just count the number of jumps and note the direction; then move the decimal point the same direction and the same number of places.http://galluccifaibano.com/userfiles/fedders-a1q05f2d-manual.xml
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Additionally, the base units of measure in the metric system are standardized, which is not the case with other systems, such as American units of measure. You’ll need to know a conversion factor to convert a value from the American system to the metric system and vice versa. Learn the prefixes for the metric system. Prefixes allow you to multiply or divide the base unit of measure by a factor of some power of 10. Greek prefixes are used for multiples of 10, and Latin prefixes are used for divisors of 10. For example, “kilo” is the Greek prefix for 1,000, so a kilometer is 1,000 meters. Similarly, “milli” is the Latin prefix for one thousandth, so a millimeter is.001 meters. Obtain a conversion factor for the conversion you wish to make. These conversion factors won’t typically be an exact value, so your conversion factor will need to be as accurate as necessary for a particular conversion. For example, there are approximately 39.37 inches in a meter. Apply an appropriate conversion factor to the measurement. Convert a value to a different unit of measure in the metric system by shifting the decimal point of the value. For example, there are 1,000 millimeters in a meter by definition. In order to convert meters to millimeters, you would simply shift the decimal point three places to the right. A value of 7.298 meters is therefore equal to 7,298 millimeters. Things You'll Need Calculator Table of conversion factors References Interactive Learning Paradigms About the Author Allan Robinson has written numerous articles for various health and fitness sites. Robinson also has 15 years of experience as a software engineer and has extensive accreditation in software engineering. He holds a bachelor's degree with majors in biology and mathematics. Find Your Next Great Science Fair Project.http://www.icf-plant.com/files/fender-twin-amp-manual.xml Introduction While knowing the different units used in the metric system is important, the real purpose behind learning the metric system is for you to be able to use these measurement units to calculate the size, mass, or volume of different objects. In practice, it is often necessary to convert one metric measurement to another unit—this happens frequently in the medical, scientific, and technical fields, where the metric system is commonly used. If you have a prescription for 5,000 mg of medicine, and upon getting it filled, the dosage reads 5 g of medicine, did the pharmacist make a mistake. For a moment, imagine that you are a pharmacist. You receive three prescriptions for liquid amoxicillin: one calls for 2.5 centiliters, one calls for 0.3 deciliters, and one calls for 450 milliliters. Amoxicillin is stored in the refrigerator in 1 liter, 1 deciliter, and 1 centiliter containers. Which container should you use to ensure you are not wasting any of the unused drug. To solve this problem, you need to know how to convert from one measurement to another as well as how to add different quantities together. Let’s take a look at how to do this. Converting from Larger to Smaller Units Converting between measurements in the metric system is simply a matter of identifying the unit that you have, the unit that you want to convert to, and then counting the number of units between them. A basic example of this is shown below. Example Problem Convert 1 kilometer to decimeters. The example below shows how you would solve this problem if you were asked to convert 8.2 kilometers to decimeters. Notice that most steps are the same; the critical difference is that you multiply by 8.2 in the final step. Example Problem Convert 8.2 kilometers to decimeters. Notice how decimeters ( dm ) is four places to the right of kilometers ( km ); similarly, you move the decimal point four places to the right when converting 8.2 kilometers to decimeters. Example Problem Convert 0.http://fscl.ru/content/3jh4e-manual55 liters to centiliters. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide. Just make sure you are moving the decimal point in the correct direction for the conversion. Example Problem Convert 205.5 milliliters to kiloliters. Count six places from milliliters to kiloliters. Grams are larger than milligrams, so you would expect the number of grams in 3,085 milligrams to be less than 3,085. The correct answer is 3.085 grams. B) 308.5 grams Incorrect. One gram is more than 10 times larger than a milligram, so you would expect the number of grams to be less than 308.5. The correct answer is 3.085 grams. C) 3.085 grams Correct. One gram is 1,000 times larger than a milligram, so you can move the decimal point in 3,085 three places to the left. D) 0.3085 grams Incorrect. This is too small; one gram is 1,000, not 10,000, times larger than a milligram. The correct answer is 3.085 grams. Factor Label Method There is yet another method that you can use to convert metric measurements—the factor label method. You used this method when you were converting measurement units within the U.S. customary system. The factor label method works the same in the metric system; it relies on the use of unit fractions and the cancelling of intermediate units. The table below shows some of the unit equivalents and A fraction where the numerator and denominator are equal amounts, as in or. Remember that the metric system is based on the notion that each unit is 10 times larger than the one that came before it.) Also, notice that two new prefixes have been added here: mega- (which is very big) and micro- (which is very small). Using the factor label method, write 7,225 cm as a fraction and use unit fractions to convert it to m. Cancel similar units, multiply, and simplify. To find the number of m in 32.5 km, you can set up the following equation. The km units cancel, leaving the answer in m. B) 325 m Incorrect.http://curabona.com/images/br-m765-manual.pdf A km is more than 10 times the size of a m; look at the unit fractions and try your calculations again. The correct answer is 32,500 m. C) 0.325 m Incorrect. A km is larger than a meter, so you would expect the number of meters in 32.5 km to be more than 32.5. Look at the unit fractions and try your calculations again. The correct answer is 32,500 m. D) 0.00325 m Incorrect. A km is larger than a meter, so you would expect the number of meters in 32.5 km to be more than 32.5. Look at the unit fractions and try your calculations again. The correct answer is 32,500 m. Now that you have seen how to convert among metric measurements in multiple ways, let’s revisit the problem posed earlier. Summary To convert among units in the metric system, identify the unit that you have, the unit that you want to convert to, and then count the number of units between them. If you are going from a larger unit to a smaller unit, you multiply by 10 successively. If you are going from a smaller unit to a larger unit, you divide by 10 successively. The factor label method can also be applied to conversions within the metric system. To use the factor label method, you multiply the original measurement by unit fractions; this allows you to represent the original measurement in a different measurement unit. By using our site, you agree to our cookie policy.Learn why people trust wikiHow To create this article, 59 people, some anonymous, worked to edit and improve it over time.This article has 15 testimonials from our readers, earning it our reader-approved status.One of the biggest advantages that the metric system offers is that conversion between its units is simple, as 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. Read on below the jump for detailed instructions.http://www.investing-in-women.com/wp-content/plugins/formcraft/file-upload/server/content/files/162805238b6d02---brush-prismic-a30-manual.pdfThe metric system has a variety of units of measurement - you have probably heard of meters (which measure distance) and grams (which measure mass), etc. These base units are sometimes either too small or too large to make practical measurements. In these cases, it's necessary to use units that differ from the base units by a power of 10 - in other words, measurements that are 10 times larger or smaller, 100 times larger or smaller, and so on.If you're unfamiliar with metric units, it can be helpful to list the metric prefixes on a line in order of largest to smallest. This line gives you a simple visual reference for how your units relate - whether the units you want are larger or smaller than the units you have, and how much larger or smaller they are.Look at your line of prefixes. Find the prefix that corresponds with the units you took your initial measurement in. Next, find your desired units. Are they to the right or to the left of your initial units. If they are to the right, you are converting from a larger unit into a smaller one.Since our desired units are to the right of our initial units, we know we're converting from a large unit into a smaller unit. Metric units of measurement differ by powers of 10 - 10, 100, 1,000, and so on. Thus, converting from one metric unit to another is always accomplished by multiplying or dividing your initial measurement by the appropriate power of ten. Look at the arrow you've drawn from the units you have - the units your measurement has been taken in - to the units you want to convert to.Remember that this number should be a power of ten given by the number of spaces under the arrow you drew in the steps above.You'll also be asked to show how you converted your initial unit label to its final form. The units in the denominator will cancel with the units of your initial measurement, leaving your answer in terms of your desired units.www.kappapma.com/userfiles/files/canon-g7-user-manual-pdf Take your initial measurement and divide it by the amount that its units differ from the desired final units - again, this should be a power of ten.For example, rather than dividing your measurement by 10 3, you would multiply it by 10 -3. Both operations are valid and will give the same answer. Let's say we want to covert 360 centimeters to decameters. We would convert by dividing as follows:How tall is Barbara in millimeters? That means you should multiply Barbara’s height in centimeters by 100. There’s a better option out there! So you should multiply Barbara’s height in centimeters by 100. There’s a better option out there! So if Barbara is 167 centimeters tall, multiply 167 by 1000. This nets you a final answer of 1670 mm. Read on for another quiz question. You should only multiply Barbara’s height in centimeters by 100, not by 1000. Try another answer. This quick method will allow you to simply and easily convert between metric units without having to perform any multiplication or division.Since two metric units always differ from each other by some multiple of ten, it's possible to make metric conversions simply by shifting your initial number's decimal point. When converting from a large unit to a smaller unit, shift the decimal point one digit to the right for each power of ten that your desired units differ from your initial units. When converting from a small unit to a larger unit, move the decimal place to the left.When you move a number's decimal point, be sure to add zeroes for each space that you move the decimal point beyond the available digits. For instance, when converting 1 kilometer to centimeters, the decimal point is initially to the right of the number 1, as so: 1. Moving the decimal place to the right means you must insert a zero so that the number becomes 10. For instance, let's say we want to convert 1 millimeter into meters.http://www.megasaludips.com/wp-content/plugins/formcraft/file-upload/server/content/files/162805241e482b---Brushes-manual-for-ipad.pdf Since meters are 10 3 times larger than millimeters, we would simply move the decimal three spaces to the left as below:There are 0.001 meters in 1 millimeter. Inserting superfluous zeroes into the middle of a number can make your answer incorrect. How many decimal points would you have to move, and in which direction, to find out how many kilometers Joseph drives? That means you’re always going to move from the right to the left when converting from decimeters to kilometers. Click on another answer to find the right one. This means Joseph drives 60 kilometers to work each day. Read on for another quiz question. So that means you’re going to move the decimal from the right to the left, not left to right. There’s a better option out there! Being single decimal points off on a measurement can make your answer off by magnitudes of thousands, so pay attention to placement. There’s a better option out there! Therefore, 30 meters equals 3000 centimeters, 25 centimeters equals 0.25 meters, etc.Ten millimeters is a centimeter, a hundred centimeters is a meter, and a thousand meters is a kilometer. You can use these relationships to convert any number of one unit to the appropriate number of a larger or smaller unit For example, when converting centimeters to meters, divide the number of centimeters by 100.Try not to take up too much space with this if you decide to use this method. To create this article, 59 people, some anonymous, worked to edit and improve it over time. This article has been viewed 564,447 times.In order, these are kilo, hecto, deca, unit, deci, centi, and milli, where “unit” stands for the metric base unit, such as meter, liter, or gram. Write the prefixes down on a line, where kilo is the largest unit and milli is the smallest. To convert between the prefixes, find your starting point, then divide by 10 for every space you move to the left, or multiply by 10 for each unit you move to the right.http://akbmodel.com/wp-content/plugins/formcraft/file-upload/server/content/files/16280524bee7f0---brush-bandit-250-chipper-manual.pdf For instance, 1 gram would be equal to 10 decigrams, 100 centigrams, or 1000 milligrams. Keep reading to learn a useful mnemonic to help you remember the order of the prefixes! Thank you for sharing this article.By continuing to use our site, you agree to our cookie policy. Thank you for sharing this article.Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. If you really can’t stand to see another ad again, then please consider supporting our work with a contribution to wikiHow. You may use theAt the discretion of the instructor, a comparison may be made with theTell your students that they need to use placeholder zeros right of aSo if they only measure toCalculated resultsUse the manual tricks described here until you build theStart with units of length. The trick works with all metric unitDon't stretch your toes out. In history, people often referred to distances by talking about theOf course, they mean youThey are inIf you have a ruler marked off in metric units, it will certainly showCount the millimeterI counted 10, did you? TheEvery centimeter is tenNo centimeter is ever 11 or justThe ruler I have has the centimeters marked and counted. The numbersThe ruler I have in front of me is NOT marked in any special way every tenMy ballpoint pen is about 13 centimeters long. I have an un-sharpened pencil that isI'm going to sharpen my pencil. It will get shorter, of course. I need a sharp pencil to gather theThat's the next step in thisMeasure a few things at your desk and around the classroom.www.cpfledlighting.com/userfiles/file/canon-g7-service-manual-pdf Be carefulIf the thing is aFor most things you measure, the centimeter is the easiest to use asIf you measure any objects that are smaller than a full centimeter, goI wrote the length of the pencil in the cmMost people will tell you to do metric conversions between metric unitsIt works, but is harder to do thanWrite down the names of each basic metric unit of length and put aThis little chart is your trick. Let's go back and start making some conversions for the objects youI want to figure out how many millimeters long the pencil is. I alreadyTo convert from cm to mm put your pencil down on the trick chart. PutNow loop it to the right until it is to the right of mm. That's the conversion. Going from cm to mm means moving the decimalThat's the trick. To convert any centimeter measurement into millimeters, just find theThat says the pencil we measured as 18.9 cm is also 189. mm Okay, can it really be that easy. Well, almost. We need to understand one more thing about numbers. Zeros. Zeros are place holders in many numbers. They only become significantRead this number: 10 Is the zero important? Yes. The reason it is important comes from the decimal point somebodyIt also points out that in the US, we useThe location of the decimal point does NOT change. When weA scientist orZero is a placeholder when no other digit is there already. Doing the unit conversion for the pencil length, we started with 18.9For the 23 cm cup, we need to rewrite the number. First we reveal the. Then we take the next step and put in the zero as a place holder. 23.0 cm. Finally we apply the trick chart and shift the decimal point to makeIt is one step (one place) right from cm to mm on the chart - move theNow try it the other way. Start with the pencil width of 7 mm. The pencil width is 7. mm,Decimal pointsThey aren't silly about it, though. It also wastes space. Back to the trick conversion chart. This time we move left from mm to cm a one unitThe width of the pencil has not changed, just the unit of length for our recorded measurement. IA leading zero has no value exceptSince you may be learning this trick in a science classroom, youThe more you practice,How many meters long isLoop to the left (from cm to M) around two of the digits in yourYou loop 2 times. Don't drop (write down) the decimal point too soon. 00018.900 cm. Loop with your pencil on the chart to the left from mm to M which isDo all the unit conversions so you show the measured length in everyJust extend the chart. Kilometer - Hectometer - Decameter - meter - centimeter - millimeter More loops are now possible, but the conversion is still as easy to do.Same technique. Count the places and move the decimal point. DONE! Gram - decigram - centigram - milligram Same chart, just new words. Same technique. Count the places and move the decimal point.In science classes, you're probably also going to needEverything else falls in between. Celsius Conversion Web page with printable version. Creative Commons Attribution License 3.0 and later. The metric system was developed in France in 1791 so that scientists had a common unit for research comparisons. In 1960 the metric system became the basis for the International System of Units ( SI units). The basic units of these measurements for the metric system are listed in the chart below. The metric system is based on units of 10, so conversions from one unit to another are relatively easy and can be completed by moving a decimal point either adding or subtracting zeros. Remember that the base unit, like a gram or a meter, is the same as 10 0 or 1. The basic unit of length is meters. Examine intervals marked on the metric rulers. You should see centimeter and millimeter divisions. Use a ruler to make the following measurements making sure to include units. Units of volume are cubed (i.e. three dimensional) units of length. The liter (L) is the basic metric unit of volume. Notice how the water is curved. This is called the meniscus and is due to surface tension and adhesion of water molecules to the sides of the cylinder. When measuring liquids in a cylinder always get eye level with the meniscus and read the volume at the lowest level of the curve. They are commonly used by researchers, hospital lab technicians, and by scientists in the food and drug industries. Micropipettes measure microliters (?l). For example, a p200 micropippettor can pipette up to 200 ?l while a p1000 can pipette up to 1000 ?l, or 1 ml, of liquid. Observe the micropettors available. Note that they are adjustable. Your instructor will also demonstrate how to use the Pipetman. Usually the tips need to remain sterile, so tips are never to be picked up and put on the micropipette. This is the “second stop.”) You will see the sample come up into the tip. Almost all of the sample should be released onto the parafilm. Note how small the 15 ?l volume is! This is similar to the eject button on a hand-held mixer. Use the electronic balance to measure the following items. Make sure that first you tare (set to zero) the balance. If you have a weigh boat, you must tare the balance with the weigh boat in place. Here are some typical temperatures: Authored by: Lynette Hauser. Provided by: Tidewater Community College. Located at:. License: Public Domain: No Known Copyright. License Terms: As modified from Piedmont Virginia Community Collegeu2019s Biology 101 Biological Classification and the Metric System Lab. And when a fraction has the same numerator (top number) and denominator (bottom number), that fraction equals 1. So when you multiply a number by a fraction that equals 1, the number stays the same. For example: People call such fractions conversion factors. Just as with numbers, you can also cancel out units of measurement in fractions. For example, suppose you want to evaluate this fraction: But you can also cancel out the unit gallons in both the numerator and denominator: So you can multiply the quantity you’re trying to convert (7 meters) by one of these fractions without changing it. Remember that you want the meters unit to cancel out. You already have the word meters in the numerator (to make this clear, place 1 in the denominator), so use the fraction that puts 1 meter in the denominator: And the only unit left is feet, so place it at the end of the expression. You can convert units easily and accurately with one simpleThis page explains how to choose, with lots of examples. If you want to convert 60 miles toYou can do anyThis article shows you how. Here’s a simpleAnd when you divideBecause multiplying by 1—a carefully chosen form ofOf course you know that Just as you would divide through by x when x was in both top and bottom, so you can divide through by the “variable” hr: How is that multiplying by 1?”. The answer is that we didn’t start with a “dimensionless” pure numberYou should be able to convince yourself that ifThink of it this way: 3.27 dollars or eurosIf the top and bottomAnybody knows that to convert hours to minutes you have to multiply byBut I deliberately chose a simple exampleYou can always apply this rule:If you ended up with 0.075 minutes, youBut second best is to work theEither equation will work equally well. More formally, divide both sides by the value of the side thatBased on the above conversion factors, thatChemistry and Physics. My favorite is at the. US National Institute of Standards and Technology, It’s availableIf you have a calculator handy, it can be faster to do extraTo convert 440 yards to meters, you could look up theBut if you happen toThis means you multiply by three differentBut if you commit a few factors toIt’s just aSimply pick a fractionIt doesn’t matter because, byLook what happens if you apply the old rule of desired units on the top: Do this so that you can divideNow you can divide top and bottom by sec: You know the conversion factors: By contrast, in converting hr to sec, the given units (hr) are on the bottom so the conversion fraction will have hr on the top.In the US, you oftenBut they are actually easier toIf my apartment measures 850 square feet, whatHow many cubic feet is 12 cubic yards? It’s exactly the same deal, except that you’ll need to cube yourAt that point a lot of studentsSee the practice problems. Well, with prettyBut with temperature this is notHowever, some conversions areWhy is that? Because gallons and liters measure volume, and square feet or squareAnalysis You should be able to do all of them easilyRemember not to make yourThat way you’ll getHow much is that in pounds?How high was theWe might say 100-110 feet orHow many rum-and-Cokes canWhen you say “2 radians”, that is identicalHowever, the technique presented onHow much water does it hold, in cubic miles? in liters?How many liters?Archive. Google converter from http to https. He holds bachelor's degrees in both physics and mathematics. This example converts grams to kilograms. It doesn't matter what the units are, the process is the same.Most people memorize a few conversions to get by.There are ?m in 100 yards.Step D cancels out each unit from the top (numerator) and bottom (denominator) until the desired unit is reached. Each unit has been canceled with its own color to show the progression of units. Step E lists the remaining numbers for easy calculation. Step F shows the final answer.The only unit that should be left is the one you want. If you still have extra units, you're probably missing a conversion in the equation. Since other systems of measurement are still used around the world, such as the United States and the United Kingdom, this site aims to help people convert units of measurement with Metric Converter and Metric Conversion Table and to better understand alternative measurements that they are unfamiliar with. The measurement units are categorized into types (such as Temperature Conversion, Weight Conversion and so on) seen on the right-hand side which then lead to a series of metric conversion calculators. If you have a suggestion for new units to be added or suggestions on how to improve this site please contact us by email. If you spot an error on this site, we would be grateful if you could report it to us by using the contact link at the top of this page and we will endeavour to correct it as soon as possible. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.The signing of this international agreement concluded five years of meetings in which the metric system was reformulated, refining the accuracy of its standards. The Metre Convention established the International Bureau of Weights and Measures (Bureau international des poids et mesures, BIPM) in Sevres, France, to provide standards of measurement for worldwide use.The definitions of United States customary units, such as the foot and pound, have been based on metric units since then.The General Conference on Weights and Measures approved an updated version of the metric system in 1960 named Le Systeme international d'unites ( International System of Units ) and abbreviated SI.The United States Department of Commerce conducted the study. A 45-member advisory panel consulted and took testimony from hundreds of consumers, business organizations, labor groups, manufacturers, and state and local officials.