Unit Conversion - Formula, Examples | Unit Conversion Table (2024)

Unit conversion is a multi-step process that involves multiplication or division by a numerical factor. There are different ways to measure weight, distance, and temperature. In several countries, distance is measured in kilometers, weight in kilograms, and temperature in celsius. Let's say you're on vacation in India, and you're told that the distance between the two cities is 100 kilometers. How much is that in miles? This is where unit conversion comes into the picture.

1.What is Unit Conversion?
2.Conversion of Units Measurements
3.Unit Conversion Charts
4.Conversion Factors
5.FAQs on Unit Conversion

What is Unit Conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

  • Measuring Length
  • Measuring Weight
  • Measuring Capacity
  • Measuring Temperature

In mathematics, we convert the units of measurement to understand better. For example, the length of a table is measured in inches whereas the length of a garden is measured in yards to make it simple to understand. We cannot measure the length of a finger in miles. To measure different quantities, units of measurements are required.

The conversion of units is required to solve various mathematical problems. For example, if the length of a rectangle is given is inches whereas the breadth is given in feet, then to determine the perimeter of the rectangle, we need to convert the units to make them uniform. Hence, it is necessary to learn the concept of unit conversion.

Definition of Conversion of Units

By definition conversion of units means the conversion between different units and measurements of the same quantity done by the process of multiplication or division. In maths, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.

Conversion of Units Measurements

Different units are used to measure different quantities. Let us explore the units used to measure the following:

  • Length
  • Temperature
  • Area
  • Volume
  • Weight
QuantityUnits
Lengthinch (in), feet (ft), yards (yd), miles
TemperatureKelvin (K), Fahrenheit (F), Celsius (C)
AreaSquare Inch, Square Feet, Acre, Square Yard, Square Mile
Volume (Capacity)Fluid Ounces (fl oz), pint (pt), quarts (qt), gallons (gal)
Weight (Mass)Ounces, Pounds (lb), Tons

Non-standard units of measurement are used in the early years of learning, to introduce children to the concept of measuring without them having to read any scales. Reading scales of any kind is a difficult skill in itself, so the idea of non-standard measures is to focus the child on the concept of heavier, lighter, longer, shorter, etc. before they move onto the next step of measuring using standard units.

To measure the length of the objects the non-standard measure used is that of hand spans. Using a handspan to measure objects is an informal way of figuring out the lengths. However, the measurements may vary owing to the subjectivity involved.

Unit Conversion - Formula, Examples | Unit Conversion Table (1)

Given below is a unit conversion table depicting the relationship between different units.

QuantityRelationship
Length1 mile = 1760 yards = 5280 feet = 63,360 inches
TemperatureC/5=F-32/9=K-273/5
Volume (Capacity)1 gallon = 4 quarts = 8 pints = 128 fluid ounces
Weight (Mass)1 ton = 2000 pounds = 32,000 ounces

Unit Conversion Charts

Unit Conversion Charts provide us with conversion factors for conversions of different units of length, area, volume, temperature, etc, and serve as a reference for easy and quick calculations. The charts are also considered as the conversion of units formula where it helps in converting any quantity given in one unit to another. Let's have a look at the unit conversion chart tables below:

Length Unit Conversions

1 millimeter0.001 meter
1 centimeter0.01 meter
1 decimeter0.1 meter
1 decameter10 meters
1 hectometer100 meters
1 kilometer1000 meters
1 inch2.54 x 10-2 meters
1 foot0.3048 meters/ 12 inches
1 yard0.9144 meters/ 3feet
1 mile1.609344 kilometers/ 1760 yards/ 5280 feet/ 63,360 inches

Area Unit Conversions

1 sq. inch6.4516x10-4 sq. meters
1 sq. foot9.2903x10-2 sq. meters
1 acre4.0468x103 sq. meters
1 hectare1x104 sq. meters
1 sq. mile2.5888x106 sq. meters
1 barn1x10-28 square meters

Temperature Unit Conversions

C/5 = F-32/9 = K-273/5

Volume Unit Conversions

1 milliliter0.001 liter
1 centiliter0.01 liter
1 deciliter0.1 liter
1 decaliter10 liters
1 hectoliter100 liters
1 kiloliter1000 liters
1 cubic inch1.639x10-2 liters
1 pint473.16 milliliters/ 0.57 liters
1 quart946.353 milliliters/ 0.946353 liters/ 2 pints
1 gallon3.785 liters/ 4 quarts/ 8 pints/ 128 fluid ounces
1 cubic foot28.316 liters

Mass Unit Conversions

1 milligram0.001 grams
1 centigram0.01 grams
1 decigram0.1 grams
1 decagram10 grams
1 ounce28.3495 grams
1 hectagram100 grams
1 kilogram1000 grams
1 stone6350.29 grams
1 pound453.592 grams/ 0.453592kg/ 16 ounces
1 ton907.185kg/ 2000 pounds/ 32,000 ounces

Conversion Factors

A conversion factor is a value or a number that is used to change one set of units to another, either by multiplication or division. An appropriate conversion factor makes calculation quick and easy. For example, the appropriate conversion value, to convert inches to feet, is 12 inches = 1 foot, and for temperature conversions, we use C/5=F-32/9=K-273/5.

☛Related Topics

Listed below are a few topics that are related to conversion of unit.

  • Metric System
  • Length Conversion
  • Measurement
  • System of Measurement
  • Measuring Capacity
  • Measuring Weight
  • Temperature Conversion Calculator
  • Metric Conversion Calculator

FAQs on Unit Conversion

How many Feet go into a Mile?

To determine how many feet go into a mile, we know that 1 mile = 5280 feet. Therefore, 5280 feet go into a mile.

What is the SI Unit of Mass?

The SI unit of mass is the kilogram (kg).

Is Kelvin a SI Unit?

Yes, Kelvin is the SI unit of temperature.

How Do You Convert Units to Different Units?

The following steps are followed for the unit conversions:

  • Step 1: Write the conversion as a fraction.
  • Step 2: Multiply or divide, as required.
  • Step 3: Cancel the units (same units from top and bottom)
  • Step 4: Write the simplified answer with its correct unit.

Why is Unit Conversion Important?

Unit Conversions are important to solve many real-time problems, be it exchange of money, purchasing and selling, cooking, baking, etc.

How do you Set up a Conversion Equation?

To set up a conversion equation:

  • Look for a conversion factor between the given units and the desired units.
  • Make an equation, using them.
  • Convert that equation to a fraction, putting the desired units on top and the given units on the bottom.

What are the Conversion Factors?

A conversion factor is a number that is used to change one set of units to another, either by multiplying or by dividing. An appropriate conversion factor makes calculation quick and easy. For example, the appropriate conversion value, to convert inches to feet, is 12 inches = 1 foot.

What is the Purpose of Conversion of Units?

Unit conversion is very important because all countries do not follow the standard metric system and they have different units for measuring length, weight, area, etc. So, converting units becomes the main concern and unit conversion thus, solves the purpose.

Unit Conversion - Formula, Examples | Unit Conversion Table (2024)

FAQs

Unit Conversion - Formula, Examples | Unit Conversion Table? ›

In a nutshell, do all conversions of units by multiplying the original measurement by a well-chosen form of the number 1. A bit less briefly: Find the conversion factor for the given and desired units, and write it as a fraction with the given units in the opposite position from the original measurement.

What is the formula for converting units? ›

In a nutshell, do all conversions of units by multiplying the original measurement by a well-chosen form of the number 1. A bit less briefly: Find the conversion factor for the given and desired units, and write it as a fraction with the given units in the opposite position from the original measurement.

How to convert units of measurement table? ›

Conversion Table
  1. Length 1 inch = 2.540 centimeters. 1 millimeter = 0.03937 inches. 1 foot = 30.4878 centimeters. ...
  2. Area 1 sq. inch = 6.4516 sq. centimeters. ...
  3. Mass (Weight) 1 grain = 0.05 scruples = 0.016667 drams = 0.00208 ounces. 1 ounce = 28.3495 grams. ...
  4. Volume 1 teaspoon = 5 milliliters. 1 milliliter = 0.0338147 fluid ounces.

What is an example of unit conversion? ›

A conversion factor is a ratio that expresses how many of one unit are equal to another unit. For example, there are 12 in. in 1 ft, 1609 m in 1 mi, 100 cm in 1 m, 60 s in 1 min, and so on. Refer to Appendix B for a more complete list of conversion factors.

What is the rule for converting units? ›

The basic rule is: If you need to convert from a larger unit to a smaller unit, multiply. If you need to convert from a smaller unit to a larger unit, divide. You will make the number smaller and, as you already know, division is all about making numbers smaller.

What is an example of conversion? ›

Examples of conversion in a Sentence

The company is undergoing a conversion to a new computer system. They have suggested conversion of the old school into apartments. Conversion to gas heating will continue over the next few years.

What is the formula to convert to standard units? ›

Standard units are dimensionless. If the original list has units, the original SD has the same units. To transform a measurement to standard units, we divide the measurement (minus the mean) by the SD, which cancels the original units.

What is the formula of units of measurement? ›

List of Measurement Formulas for 2-D Shapes
Shape NamePerimeterArea
Square4aa2 square units
Rectangle2(a + b)l × w square units
Trianglea + b + c½ Base × height square units
Parallelogram2(a + b)base × height = b × h square units
3 more rows

What is the conversion table? ›

noun. : a table of equivalents for changing units of measure or weight into other units.

How do you calculate conversion examples? ›

The conversion rate formula is Conversion Rate = (Number of Conversions / Total number of visitors) * 100. For example, if a website had 200 conversions from 5,000 visitors, the conversion rate would be (200 / 5,000) * 100 = 4%, indicating that 4% of the total visitors took the desired action.

What is the easiest way to convert measurements? ›

Rule 1: When converting from a larger unit to a smaller unit, multiply. Rule 2: When converting from a smaller unit to a larger unit, divide. This basic rule applies to all conversions, no matter the object being measured or the system you're using.

What is the formula for conversion rate? ›

Conversion rates are calculated by simply taking the number of conversions and dividing that by the number of total ad interactions that can be tracked to a conversion during the same time period. For example, if you had 50 conversions from 1,000 interactions, your conversion rate would be 5%, since 50 ÷ 1,000 = 5%.

What is the standard formula of unit conversion? ›

There isn't a single universal formula for unit conversion because it depends on the specific units you're converting between. However, the general process involves using conversion factors. Conversion Factors: A conversion factor is a number used to change one set of units to another, by multiplying or dividing.

How do you convert to formula units? ›

You can find the formula units in a sample by first determining the number of moles of the compound, then using Avogadro's number (6.02 x 1023 formula units/mole) to convert moles to formula units. The formula is: Formula units = Moles of the compound x Avogadro's number.

How do you calculate a unit? ›

To calculate the unit rate, divide the numerator by the denominator. The resulting decimal number is the unit rate. The unit price is a type of ratio where the numerator is the price and the denominator is the quantity of a good or product. It allows us to compare the different quantities of a product.

What method is used to convert units? ›

The factor–label method, also known as the unit–factor method or the unity bracket method, is a widely used technique for unit conversions that uses the rules of algebra.

How do you convert from one set of units to another? ›

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.

What is the formula for the conversion factor? ›

Conversion of one kind of quantity into another is usually done with what can be called a conversion factor, but the conversion factor is based on a mathematical function (D = m / V) or mathematical equation that relates parameters.

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