2.7: Solving Multistep Conversion Problems
This video takes you through the process of doing two step metric conversions. You should be able to go between any two metric prefixes with this method. May 27, · Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.
You are training for a kilometer run by doing laps on a meter track. You ask yourself how many times you need to run around the track in order to cover ten kilometers The metric system's many prefixes allow quantities to be expressed in many different units. Dimensional analysis is useful to convert from one metric system unit to another. The science teacher knows that he will need to make enough solution for 40 experiments to be performed throughout the day.
How many liters of solution should he prepare? A liter is much larger than a milliliter, so it makes sense that the number of liters required is less than the number of milliliters. Some metric conversion problems are most easily solved by breaking them down into more than one step. When both the given unit and the desired unit have prefixes, one can first convert to the simple un-prefixed unit, followed by a conversion to the desired unit.
The following example will illustrate this method. You may need to consult a table for the multiplication factor represented by each metric prefix. Each conversion factor is written so that the unit of the denominator cancels with the unit of the numerator of the previous factor. A micrometer is a smaller unit of length than a centimeter, so the answer in micrometers is larger than the number of centimeters given.
Metric Unit Conversions The metric system's many prefixes allow quantities to be expressed in many different units. Solution Step 1: List the known quantities and plan the problem. Step 2: Calculate. Step 3:Think about your result. Two-Step Metric Unit Conversions Some metric conversion problems are most easily solved by breaking them down into more than one step.
Step 3: Think about your result. Summary Dimensional analysis can be what language is spoken in argentina to carry what website can i watch pretty little liars for free metric unit conversions.
Two-Step Metric Unit Conversions
Fill in the blank to make the conversion true. millimeters = __ kilometers. Solution. Step 1: We know that. 1 kilometer (km) = meters (m) 1 meter (m) = millimeters (mm) Step 2: millimeters = mm ? 1 m/ mm ? 1 km/ m = km. So, millimeters = . Jul 16, · Two-Step Metric Unit Conversions Some metric conversion problems are most easily solved by breaking them down into more than one step. When both the given unit and the desired unit have prefixes, one can first convert to the simple (unprefixed) unit, followed by a conversion to the desired unit. An example will illustrate this method. Calculation. k m ? 1, m 1 k m ? 1 m m 10 ? 3 m = 54, , m m = ? 10 7 m m. In each step, the previous unit is canceled and the next unit in the sequence is produced, each successive unit canceling out until only the unit needed in the answer is left. .
Metric units are very nice to work with, since they are all multiples of ten or a hundred, or one-tenth, etc of each other. You can convert between the various different sizes by merely moving the decimal point the correct number of places. The basic metric units are meters for length , grams for mass or weight , and liters for volume. And the different units convert into one another rather nicely, with one milliliter equalling one cubic centimeter the "cc" of medical shows on television and one gram being the weight of one cc of water.
Metric Unit Conversions. There are many metric-unit prefixes, but the usual ones required in school are these: kilo-, hecto-, deka-, deci-, centi-, and milli-. 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.
The first letters of the words stand for the prefixes, with "Usually" in the middle standing for the "unit", being meters, grams, or liters. Many memory phrases omit the "Usually", and consequently students forget where the basic unit goes, messing up their conversions. Leave the "Usually" in there so you can keep things straight:. Since each step is ten times or one-tenth as much as the step on either side, we have:. The point here is that you move from one prefix to the next by moving the decimal point one place, and filling in, as necessary, with zeroes.
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. Together with the prefix sentence "King Henry It's five jumps, to the right. So I move the decimal point five places to the right, filling in the extra space with zeroes:. You don't have to make a loopy arrow like I did, but the loops help you keep track of the steps that you're counting, and make it really easy to see where to add the zeroes, if you need to.
In this case, after moving the decimal point and adding the zeroes, I get:. Okay, to it's five jumps again, but this time they're to the left. So I move the decimal point five places to the left, filling in the empty spots after the decimal point with zeroes:. That's all there is to metric conversions. As long as you keep the prefixes straight and remember where in the sequence the "units" name goes, you'll be fine.
Just count the number of jumps and note the direction; then move the decimal point the same direction and the same number of places.
All right reserved. Web Design by. Skip to main content. Content Continues Below. How many jumps is it from "kilo-" to "centi-"?