A bread recipe calls for g of flour. How many kilograms of flour would you need to make 5 loaves? Sometimes it is a good idea to check your conversions using a second method. This usually helps you catch any errors that you may make, such as using the wrong unit fractions or moving the decimal point the wrong way. A bottle contains 1. How many mL servings can be made from that bottle? To answer the question, you will need to divide 1. To do this, convert both to the same unit.
You could convert either measurement. Understanding the context of real-life application problems is important. Look for words within the problem that help you identify what operations are needed, and then apply the correct unit conversions.
The metric system is an alternative system of measurement used in most countries, as well as in the United States. The metric system is based on joining one of a series of prefixes, including kilo-, hecto-, deka-, deci-, centi-, and milli-, with a base unit of measurement, such as meter, liter, or gram. Units in the metric system are all related by a power of 10, which means that each successive unit is 10 times larger than the previous one. This makes converting one metric measurement to another a straightforward process, and is often as simple as moving a decimal point.
It is always important, though, to consider the direction of the conversion. If you are converting a smaller unit to a larger unit, then the decimal point has to move to the left making your number smaller ; if you are converting a larger unit to a smaller unit, then the decimal point has to move to the right making your number larger.
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.
If you have been to other countries, though, you may notice that meteorologists measure heat and cold differently outside of the United States. The difference is that the two countries use different temperature scales. A temperature of. Celsius Fahrenheit. A cook puts a thermometer into a pot of water to see how hot it is. Which temperature scale is the thermometer measuring? By looking at the two thermometers shown, you can make some general comparisons between the scales.
Sometimes, it is necessary to convert a Celsius measurement to its exact Fahrenheit measurement or vice versa. For example, what if you want to know the temperature of your child in Fahrenheit, and the only thermometer you have measures temperature in Celsius measurement?
Converting temperature between the systems is a straightforward process as long as you use the formulas provided below. How were these formulas developed? They came from comparing the two scales. Notice how these fractions are used in the conversion formulas. What temperature does water boil at in the Fahrenheit scale?
A Celsius temperature is given. To convert it to the Fahrenheit scale, use the formula at the left. A Fahrenheit temperature is given. To convert it to the Celsius scale, use the formula at the left. The next example shows how these formulas can be used to solve a real-world problem using different temperature scales.
Two scientists are doing an experiment designed to identify the boiling point of an unknown liquid. Which temperature is higher and by how much? To find the difference between them, we need to measure them on the same scale. Whichever way you choose, it is important to compare the temperature measurements within the same scale, and to apply the conversion formulas accurately. What is the average temperature in degrees Fahrenheit? Temperature is often measured in one of two scales: the Celsius scale and the Fahrenheit scale.
You can use conversion formulas to convert a measurement made in one scale to the other scale. Skip to main content. Module 3: Measurement. Search for:.
Learning Objectives In this lesson you will learn how to do the following: Describe the general relationship between the U. Convert from one temperature scale to the other, using conversion formulas. Try It Now Which of the following sets of three units are all metric measurements of length?
A inch, foot, yard B kilometer, centimeter, millimeter C kilogram, gram, centigram D kilometer, foot, decimeter Show Answer B kilometer, centimeter, millimeter All of these measurements are from the metric system. Example How many milligrams are in one decigram?
Show Answer Identify locations of milligrams and decigrams. Dg is 10 times larger than a cg, and a cg is 10 times larger than a mg. Try It Now Convert 3, milligrams to grams. Show Answer One gram is 1, times larger than a milligram, so you can move the decimal point in 3, three places to the left.
Example Convert 1 centimeter to kilometers. Show Answer Identify locations of kilometers and centimeters. Cm is 10 times smaller than a dm; a dm is 10 times smaller than a m, etc. Since you are going from a smaller unit to a larger unit, divide. Try It Now. Try It Now How many milliliters are in 1 liter?
Show Answer There are 10 milliliters in a centiliter, 10 centiliters in a deciliter, and 10 deciliters in a liter. Example Convert 7, centimeters to meters. Show Answer Meters is larger than centimeters, so you expect your answer to be less than 7, Try It Now Convert The km units cancel, leaving the answer in m. Example If you have a prescription for 5, mg of medicine, and upon getting it filled, the dosage reads 5g of medicine, did the pharmacist make a mistake?
Show Answer Convert mg to g. TIP: To solve these problems effectively, you need to understand the context of a problem, perform conversions, and then check the reasonableness of your answer.
Do all three of these steps and you will succeed in whatever measurement system you find yourself using. Example Marcus bought at 2 meter board, and cut off a piece 1 meter and 35 cm long. Show Answer To answer this question, we will need to subtract. First convert all measurements to one unit. Here we will convert to centimeters. Convert the 1 meter to centimeters, and combine with the additional 35 centimeters.
Subtract the cut length from the original board length. Example A faucet drips 10 ml every minute. How much water will be wasted in a week? Dimes, quarters, and half-dollars are 'silver money', of which a dollar is a metric ounce of 25 g. Kilogram kg , basic unit of mass in the metric system. A kilogram is very nearly equal it was originally intended to be exactly equal to the mass of 1, cubic cm of water. The pound is defined as equal to 0. It is an international term used to define weight or mass of an object.
Pound is a Latin word meaning 'a pound by weight'. Ounces are the primary unit of mass used in the U.
If you're wondering how an ounce compares to a gram , it turns out that 1 ounce is a lot more mass than 1 gram. In fact, 1 ounce is approximately equal to Common household items that weigh approximately one gram include a paperclip, the cap of a ballpoint pen, a stick of gum, a U.
How heavy is grams? How much does grams weigh in kilograms? Convert Grams to Kilograms. Whats bigger gram or kilogram? Category: business and finance gasoline prices. What comes after a kilogram? Name of unit Symbol Equivalent kilogram kg g tonne t kg megagram Mg 1 tonne megatonne Mt 1 million tonnes.
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