The answer is 0.
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Note: dL is deciliters, daL is decaliters. Convert grams to milligrams. Notice in the listing above that the prefix milli is three places to the right of gram. The answer is , milligrams.
While the metric system was lawfully accepted for use in the United States in , the US has not adopted the metric system as its "official" system of measurement. The US English System of measurement grew out of the manner in which people secured measurements using body parts and familiar objects.
For example, shorter ground distances were measured with the human foot and longer distances were measured by paces, with one mile being 1, paces. Capacities were measured with household items such as cups, pails formerly called gallons and baskets. Obviously this system allowed for discrepancies between measurements obtained by different individuals. A standard was eventually set to ensure that all measurements represented the same amount for everyone.
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Conversion Ratio or Unit Factor : While the Metric System simply moves the decimal point to convert between its measurements' prefixes, the English System requires a conversion ratio or unit factor to move between measurements. In the Metric System, the prefix itself gives the needed conversion ratio. A conversion ratio or unit factor is a ratio equal to one. This ratio carries the names of the units to be used in the conversion. It can be used for conversions within the English and Metric Systems, as well as for conversions between the systems.
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The conversion ratio is based upon the concept of equivalent values. In the example below, one foot is substituted for its equivalent measure of 12 inches. NOTE: As with all mathematical problems, there are other ways to arrive at these answers. Most other methods utilize the concept of the conversion ratio, but may be written in a different manner or calculated mentally.
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Metric System:. The metric system is an internationally agreed decimal system of measurement created in France in The International System of Units SI , the official system of measurement in almost every country in the world, is based upon the metric system. They did not ask their guests to tell them what they would be bringing, and three people ended up bringing soup. Erin brought 1 quart, Richard brought 3 pints, and LeVar brought 9 cups. How many cups of soup did they have all together?
There are five main units for measuring capacity in the U. The smallest unit of measurement is a fluid ounce. The other units of capacity in the customary system are the cup , pint , quart , and gallon. The table below describes each unit of capacity and provides an example to illustrate the size of the unit of measurement.
The amount of liquid medicine is often measured in fluid ounces. A unit equal to 8 fluid ounces. The capacity of a standard measuring cup is one cup. A unit equal to 16 fluid ounces, or 2 cups. The capacity of a carton of ice cream is often measured in pints. A unit equal to 32 fluid ounces, or 4 cups. You often see quarts of milk being sold in the supermarket.
A unit equal to 4 quarts, or fluid ounces. When you fill up your car with gasoline, the price of gas is often listed in dollars per gallon.
You can use any of these five measurement units to describe the capacity of an object, but it makes more sense to use certain units for certain purposes. For example, it makes more sense to describe the capacity of a swimming pool in gallons and the capacity of an expensive perfume in fluid ounces. Sometimes you will need to convert between units of measurement. For example, you might want to express 5 gallons of lemonade in cups if you are trying to determine how many 8-fluid ounce servings the amount of lemonade would yield.
The table below shows some of the most common equivalents and conversion factors for the five customary units of measurement of capacity.
Pounds, Feet, and Inches (Concepts)
As with converting units of length and weight, you can use the factor label method to convert from one unit of capacity to another. An example of this method is shown below. The table above does not contain a conversion factor for gallons and pints, so you cannot convert it in one step. However, you can use quarts as an intermediate unit, as shown here. Since gallons is a larger unit than fluid ounces, expect the answer to be less than The table above does not contain a conversion factor for gallons and fluid ounces, so you cannot convert it in one step.
Use a series of intermediate units, as shown here. There are times when you will need to combine measurements that are given in different units.
In order to do this, you need to convert first so that the units are the same. Sven and Johanna were hosting a potluck dinner. How much soup did they have total? Since the problem asks for the total amount of soup, you must add the three quantities. Before adding, you must convert the quantities to the same unit. The problem does not require a particular unit, so you can choose.
Cups might be the easiest computation. Natasha is making lemonade to bring to the beach. She has two containers. One holds one gallon and the other holds 2 quarts. If she fills both containers, how many cups of lemonade will she have? This problem requires you to find the sum of the capacity of each container and then convert that sum to cups. Another way to work the problem above would be to first change 1 gallon to 16 cups and change 2 quarts to 8 cups. In the following video we provide another example of using unit conversions to solve a problem. We show how to find the number of lemons needed to make a pie, given that each lemon yields about 4 tablespoons of juice.
Alan is making chili. He is using a recipe that makes 24 cups of chili. He has a 5-quart pot and a 2-gallon pot and is trying to determine whether the chili will all fit in one of these pots. Which of the pots will fit the chili? This is a good summary of the concepts covered in the US Units of Measurement section of this module. There are five basic units for measuring capacity in the U.
These are the fluid ounce, cup, pint, quart, and gallon. These measurement units are related to one another, and capacity can be described using any of the units. Typically, people use gallons to describe larger quantities and fluid ounces, cups, pints, or quarts to describe smaller quantities. Often, in order to compare or to solve problems involving the amount of liquid in a container, you need to convert from one unit of measurement to another. Skip to main content. Module 3: Measurement. Search for:.
Perform arithmetic calculations on units of length. Solve application problems involving units of length. Define units of weight and convert from one to another. Perform arithmetic calculations on units of weight. Solve application problems involving units of weight. Describe the general relationship between the U. Define the metric prefixes and use them to perform basic conversions among metric units. Solve application problems involving metric units of length, mass, and volume.
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State the freezing and boiling points of water on the Celsius and Fahrenheit temperature scales. Convert from one temperature scale to the other, using conversion formulas. Show Solution Begin by reasoning about your answer. Example How many yards is 7 feet? Show Solution Start by reasoning about the size of your answer. Find the conversion factor that compares feet and yards, with yards in the numerator. Try It.