Lar»Measurement - definition, examples, practical problems, FAQ

- What is measurement in mathematics?
- What is a unit of measurement?
- Worked examples on measurement
- Practical measurement problems
- Frequently asked questions about measurement

## What is measurement in mathematics?

Check out some common questions we hear everyday.

- How old are you?
- What is your weight?
- How tall are you?
- How much water can you fill in your bottle?
- How hot is it today?

To answer the above questions; what we need to measure.

- To find out how old you are, you need to measure time.
- To find out how much you weigh, you need to weigh yourself.
- To know your height, you need to measure your height (length)
- To know how much water you can fill your bottle with, you need to measure its volume.
- To find out how hot it is today, you need to measure the temperature.

So what exactly is "measurement"?

**Measurement is the process of finding a number that shows the amount of something.**

## Definition of measurement

**Measurement is a system for measurementheight, weight,capacityor even the quantity of certain items.**We can measure the length of things, the height or the distance between two things. For example: Oliver's height is 100 inches and Giraffe's height is 150 inches.

#### Related worksheets

## What is a unit of measurement?

**A standard quantity used to express a physical quantity is known as a unit of measurement.**For example, we use inches, that is, "in" to measure the length of small objects such as a pencil, pen, or match.

Units are tools for measuring and comparing different things. Comparison is easy when all units of measurement are the same. Different units can be classified according to their use.

Here is a list of the units of measurement we use to measure various things:

- Length or Height
- Weight
- Volume
- Tempo
- Money
- Temperature

- Lenght

The amount of something measured from end to end along the longest side is calledlenght.

Length is measured incentimeters,metroi,kilometers,feet, emile

The length of a given object describes the length of a thing or the distance between two points. Length helps us identify the size of an object, the height or length of an object, or the distance from one point to another. When we measure the size of an object horizontally, it is known as length, while when we measure the size of an object vertically, it is known as the height of the object.

The following are some examples of length units according to US customary units:

**Inches**: Its abbreviation is "in". It is used to measure the height, length or even thickness of small objects like the height of a chair.**Late**: Its abbreviation is "ft." It is used to measure short distances between two places or the height of an object such as the height of a person.**Quintal**: Its abbreviation is "yd". It is used to measure the distance between two places that the foot cannot measure. For example: The length of the playground.**Mile**- Its abbreviation is "we". It is used to measure large distances, such as the distance between two cities.

We can easily convert the units into each other as follows:

$1 mil = $1760 yards

1$ yard = 3$stop

1 foot$ = 12$ inches

We can compare two objects by their length or height.

In the picture above, we see that the length of the safety pin is 1 inch, while the length of the pencil is 6 inches.

The above example is an illustration of how an object is compared according to its height.

**Fact:**

1 cm $ = 10 $ mm

**conversion:**

$\text{cm} \rightarrow \text{mm}$: Multiply by 10

$\text{mm} \rightarrow \text{cm}$: Divide by 10

**Fact:**

1 m $ = 100 $ cm

**conversion:**

$\text{m} \rightarrow \text{cm}$: Multiple by 100

$\text{c} \rightarrow \text{mm}$: Divide by 100

m i km

**Fact:**

1 km $ = 1000 $ m

**conversion:**

$\text{km} \rightarrow \text{m}$: Multiply by 1000

$\text{mk} \rightarrow \text{m}$: Dividing by 1000

**Weight**

The amount of matter that a thing is made of is called its weight.weight measurementmeans to measure the weight of something.

Weight tells us how heavy or light an object is. Let's take a look at all the weight units we commonly use.

**an ounce**– The abbreviation used for ounces is “oz” and is used to measure the weight of small quantities, such as the weight of a slice of bread.**Vacancy**– The abbreviation used for pound is "lb" and is used to measure the weight of medium-heavy objects, such as the weight of an animal.**his**– The abbreviation used for ton is “t” and is used to measure the weight of heavier objects, such as the weight of a car.

Weight can be measured in grams, kilograms and pounds. The metric units of weight measurement are kilogram (kg) and gram (g).

The metric system uses the following units of weight:

**milligrams**– The abbreviation used for milligrams is "mg" and is used to measure the weight of very light objects, such as the weight of a tablet.**grama**– The abbreviation used for grams is "g". and is used to measure the weight of medium-sized objects, such as the weight of tomatoes.**kilograms**– The abbreviation used for kilograms is “kg” and is used to measure the weight of heavy objects, such as the weight of a couch or bed.

Following are some weight conversions:

- 1 tona$ = 2000$ funti
- $1 pound = $16 ounces

An object can be compared to its weight.

In the example above, we learn how an object is compared according to its weight.

**observing:**The heaviest object is weighed downwards, and the lightest is weighed on the scale.

**Fact:**

1kg $= 1000$g

**conversion:**

$\text{kg} \rightarrow \text{g}$: Multiply by 1000

$\text{g} \rightarrow \text{kg}$: Podijelite s 1000

**Volume**

Volumeis the space occupied by an object, whether solid, liquid or gaseous. It is measured in cubic units for solids. Gallons, pints, quarts, and cups are some of the common units for measuring the volume of liquids. To measure the volume of liquids, we also use units such as liters and milliliters. We can convert these units as follows:

1 gallon = $4 liter

$1 liter = $2 pint

1 liter $ = 2 $ cups

The units of measurement for volume are milliliter (ml) and liter (L).

**Fact:**

1 L$ = 1000 $ ml

**conversion:**

$\text{L} \rightarrow \text{ml}$: Multiply by 1000

$\text{ml} \rightarrow \text{L}$: Podijelite s 1000

**Capacity**

Capacity is a measure of the amount that something can hold.

**Tempo**

The continuous sequence of events is time. We can measure time inseconds,minute, hours, days, weeks, months and years.

A clock and a calendar help us measure time.

Time can be defined as an ongoing, continuous sequence of events that happen one after the other, from the past to the present and into the future. Time is used to quantify, measure or compare the duration of events or the intervals between them, and even sequential events.

The basic unit of time is a second.

There are also minutes, hours, days, weeks, months and years.

Some of the time conversions are:

- 1 year $= 12$ months
- 1 month $= 4$ weeks approx.
- 1 week $= 7$ days.
- 1$ = 24$ sata.
- 1 hour $= 60$ minutes
- 1$minute = 60$seconds.

- Money

Moneyis defined as the measure people use to buy goods and services. Money is a part of everyone's life. Every country has its own currency. For example, the US has the US dollar, the UK has the British pound, Japan has the Japanese yen, and India has the Indian rupee. The value of the currency of each country differs from the value of the currency of other countries depending on the economy.

According to US currency:

- $\$1 = 10$ cents or 100 cents
- $1 quarter = $25 cents
- 1 cent $ = 10 cents
- 1 nikal $ = 5 $ centi
- 1 cent $ = 1 $ cent

- Temperature

The temperature of something is a measure of how hot or cold it is.

Temperature is measured in Celsius, Fahrenheit and Kelvin.

Temperature is a measurement of the degree of warmth and coldness of the body. Temperature is measured with the help of a device known as a thermometer.

The three units in which temperature is measured are Celsius $(^{\circ}\text{C})$, Fahrenheit $(^{\circ}\text{F})$ and Kelvin (K). In the United States, we use Fahrenheit more often.

The formulas for calculating the temperature are:

We can convert from one measurement unit to another.

There are two measurement systems:

**Metric system**

This system is based on the meter, liter and gram as units of length (distance), capacity (volume) and weight (mass).

**US standard units**

This system uses inches, feet, yards, and miles to measure length or distance.

Capacity or volume is measured influid ounces,cups,shortcut,bedroomsorgallons.

Weight or mass is measured in ounces, pounds, and tons.

## interesting things

1. The metric system was first proposed by the French astronomer and mathematician Gabriel Mouton in 1670, and was standardized in Republican France in the 1790s.

2. American standard units are also known as "English units" or "US customary units”.

3. Ancient people did not use units to measure length. Instead, they used their hand to measure the length known today as "wingspan".

## Conclusion

In this article, we learned about units of measurement. Units of measurement are units for measuring and comparing different objects, lengths, distances between two places, etc.

## Worked examples on measurement

**1. How many months are there in 3 years?**

**Solution:**Number of months in 1 year $= 12$

Number of months in 3 years $= 3 \times 12 = 36$ years

**2. Converter**45$^{\circ}$**for Fahrenheit.**

**Solution:**$\text{F} = \frac{9}{5}\text{C}+32$

$\text{F} = \frac{9}{5} \times 45 + 32=113$

**3. How many dollars are in 50 cents?**

**Solution:**$\$1 = 10$ centimetres

1 centavo $= \$ \frac{1}{10}$

50 cents $= \frac{50}{10} = \$5$

**4. How many yards are there in 90 feet?**

**Solution:**1$ yard = 3$stop

$90 \div 3 = $30 yd

**5. The sum of the heights of A and C is ______ units. (As long as each square in the grid has 1 unit on the page)**

**Solution:**Unit height A$= 5$

Height units C$= 2$

The sum of the heights of A and C $= 5 + 2 = 7$ units

**Example 6: Make the following conversions.**

(i) 400 cm per meter. (ii) 3 kg u grams. (iii) 1,5 L do ml

Solution:

(i) We know that to convert from centimeters to meters we divide by 100.

Dakle $400$ $cm$ $= 400 \div 100 = 4$ m

(ii) We know that to convert from kilograms to grams, we multiply by 1000.

So, 3 kg $= 3 times 1000 = 3000$ g

(iii) We know that to convert from liters to milliliters, we multiply by 1000.

Portanto, 1,5 $ \text{L} = 1,5 \times 1000 = 1500 $ ml

**Example 7: Lucy, Eve and Ragnar compare their heights. Lucy says she is 1 m tall, Eve says she is 900 mm tall, and Ragnar says she is 97 cm tall. Who is the tallest and shortest person in terms of height?**

Solution:

Lucyna Visina $= 1$m

Visina Eve $= 900$ mm

Ragnar's height $= 97$ cm.

To compare their heights, we need to convert them to the same unit.

Altura de Lucy $= 1 \text{m} = 1 \times 100 = 100$ cm

Visina Eve $= 900 \text{mm} = 900 \div 10 = 90$ cm

Ragnar's height $= 97$ cm

It is clear that Lucy is the tallest and Eve is the shortest of the three.

## Practical measurement problems

1

### Which of the following is the easiest?

manga

orange

A stretcher

It cannot be determined.

Exactlyinaccurately

The correct answer is: mango

Orange is the heaviest of all. Between mango and apple, mango is the lightest, so mango is the lightest of all.

2

### ____ is more expensive than a pencil case, and ______ is cheaper than a ball.

pen, notebook

Notebook, pencil case

notebook, pen

Pen

Exactlyinaccurately

The correct answer is: Notebook, pencil case

A pencil case costs $= \$ 20$

A price greater than $\$20$ is $\$30 =$ the price of a laptop

The price of the ball $= \$15$

Price less than $ \$15 = \$10 =$ Price of the pen

3

### When we convert 32 yards to feet, we get _____.

960 feet

96 feet

0.96 feet

0.096 feet

Exactlyinaccurately

The correct answer is: 96 feet

32 yards $= 32 \times 3 = 96$ feet

4

### Which of the following is the correct unit of measure for the weight of a coconut?

Pounds

an ounce

seconds

yards

Exactlyinaccurately

The correct answer is: pounds

Ounces are used to measure capacity. Seconds are used to measure time and yards are used to measure length or distance.

5

### Which of the following is the correct unit of measurement for measuring ceiling height?

an ounce

minute

mile

Feet

Exactlyinaccurately

The correct answer is: Feet

Ounces are used to measure the weight of light objects. Minutes are used to measure time. Miles are used to measure distance.

## Frequently asked questions about measurement

**What time units are larger than a year?**

For calculating time, some units larger than a year are decades, millennia, centuries, etc.

**What is a light year?**

Light years are used to measure very large distances, such as the distance between two planets. 1 light year is equal to the distance light travels in 1 year.

**What is the difference between standard and non-standard units of measurement?**

Standard units of measurement are those that remain unchanged worldwide, such as 1 mile will be the same in the US and Australia, while non-standard units may vary such as cups, spans, etc. Each person's range may be different.

**What is the unit of measurement for calculating speed?**

Speed $= \frac{Distance}{time}$. So, the unit of measurement for calculating speed is miles per hour (mph).

## FAQs

### What is measurement? Definition, types, scale, units, examples? ›

The basic units for length or distance measurements in the English system are the **inch, foot, yard, and mile**. Other units of length also include the rod, furlong, and chain. survey foot definition. In the English system, areas are typically given in square feet or square yards.

**What are measurement units examples? ›**

The basic units for length or distance measurements in the English system are the **inch, foot, yard, and mile**. Other units of length also include the rod, furlong, and chain. survey foot definition. In the English system, areas are typically given in square feet or square yards.

**What are the 5 major types of measurements? ›**

**types of measurements are:**

- Indirect method of measurement.
- Direct method of measurement.
- Fundamental method of measurement.
- Substitution method of measurement.
- Comparison method of measurement.

**What is the definition of measurement? ›**

measurement, **the process of associating numbers with physical quantities and phenomena**. Measurement is fundamental to the sciences; to engineering, construction, and other technical fields; and to almost all everyday activities.

**What are 3 examples of units? ›**

The units of measuring length are **millimeter (mm), centimeter (cm), meter (m) and kilometer (km)**. The units of measuring weight are kilogram (kg) and gram (g). The units of measuring volume are milliliter (ml) and liter (L).

**What are five examples of units of measurement? ›**

Quantity | Units of Measurement |
---|---|

Length | Meter, Kilometer, Centimeter, Millimeter, Feet, Yard, Inch, Mile |

Mass | Gram, Milligram, Kilogram, Ounce, Pound, Ton |

Volume | Litre, Millilitre, Kilolitre, Gallon, Pint, Fluid Ounce |

Time | Second, Minute, Hour, Day, Month, Week, Year |

**What are the 4 scales of measurement? ›**

Psychologist Stanley Stevens developed the four common scales of measurement: **nominal, ordinal, interval and ratio**. Each scale of measurement has properties that determine how to properly analyse the data.

**What are the 4 main types of measurement? ›**

You can see there are four different types of measurement scales (**nominal, ordinal, interval and ratio**). Each of the four scales, respectively, typically provides more information about the variables being measured than those preceding it.

**What are 7 basic or standard units of measurement? ›**

There are seven SI units of measurement and are **Kilogram or kg, meter or m, second or s, Ampere or A, kelvin as K, mole and the last one candela or cd**.

**What are the 3 main measurements? ›**

**Bust/waist/hip** measurements (informally called 'body measurements' or ′vital statistics′) are a common method of specifying clothing sizes.

### What are standard units? ›

A standard unit is **a globally accepted unit of measurement**. It is accurate everywhere in the world. It is convenient to use by everyone, everywhere. The SI unit of length, metre(m), is a standard unit.

**What are the most common measurement? ›**

The most common units that we use to measure length in the metric system are the **millimeter, centimeter, meter, and kilometer**. The millimeter is the smallest commonly used unit in the metric system. The abbreviation for millimeters is mm (for example, 3 mm).

**What is a measurement answer? ›**

Measurement is **a comparison of an unknown quantity with a known fixed quantity of the same kind**. The value obtained on measuring a quantity is called its magnitude. The magnitude of a quantity is expressed in numbers and in its unit.

**What is measurement method? ›**

The direct measurement method is **based on a reproducible and pronounced relation between a measured battery variable and the SoC**. Examples of such battery variables are battery voltage (Vbat), battery impedance (Zbat), and voltage relaxation time (τ) after application of a current step.

**What is used of measurement? ›**

Measurement **helps us to compare unknown quantities with the known quantities**. Measurement helps us make quantitative statements about how big, how long, how fast things are. Without measurement, the final product will be full of errors. Examples:- Speedometer is used to measure the speed of the vehicles.

**What are types of measurement? ›**

There are four main levels of measurement: **nominal, ordinal, interval, and ratio**.

**How many types of units are there? ›**

7 FUNDAMENTAL UNITS | ||
---|---|---|

Physical Quantity | SI unit | Symbol |

Mass | Kilogram | kg |

Time | second | s |

Electric current | ampere | A |

**What are the 10 standard units of measurement? ›**

Type | U.S. Unit | Metric Unit |
---|---|---|

Length | Inches, Feet, Yards, Miles | Millimeters, Centimeters, Meters, Kilometers |

Weight | Ounces, Pounds | Grams, Kilograms |

Time | Seconds, Minutes, Hours | Seconds, Minutes, Hours |

Volume | Ounces, Gallons | Milliliters, Liters |

**Which 3 examples are all metric units? ›**

**Meter, liter, and gram** are the basis of measurement for length, volume, and weight respectively.

**What is an example of an ordinal scale? ›**

Ordinal Examples

**Ranking of high school students – 1st, 3rd, 4th, 10th**… Nth. A student scoring 99/100 would be the 1st rank, another student scoring 92/100 would be 3rd and so on and so forth.

### What is an example of an interval scale? ›

An interval scale is one where there is order and the difference between two values is meaningful. Examples of interval variables include: **temperature (Farenheit), temperature (Celcius), pH, SAT score (200-800), credit score (300-850)**.

**What is an example of a ratio scale? ›**

**Miles per hour**. **Speed** is an easy example of the ratio scale. Because there is a true zero value—the absence of forward motion—it's easy to plot and visualize speed data. For instance, we know that 50 miles per hour is half the speed of 100 mph, and 200 mph is twice the speed of 100 mph and four times the speed of 50mph ...

**What are the 7 basic physical quantities? ›**

**Following are the seven fundamental quantities:**

- Length (metre)
- Mass (kilogram)
- Time (second)
- Electric current (ampere)
- Thermodynamic temperature (kelvin)
- Amount of substance (mole)
- Luminous intensity (candela)

**What is the metric unit of measurement? ›**

What are the Units Under the Metric System? The metric system has meter, centimeter, millimeter, and kilometer for length; kilograms, milligrams, centigrams, and gram for weight; liter, kiloliter, centiliter, and milliliter for capacity; hours, minutes, seconds for time.

**What is the unit of volume? ›**

Volume is the measure of the 3-dimensional space occupied by matter, or enclosed by a surface, measured in **cubic units**. The SI unit of volume is the cubic meter (m^{3}), which is a derived unit. Liter (L) is a special name for the cubic decimeter (dm^{3}).

**What are the 2 types of measurement? ›**

This page explains the two most common systems of measurement: the metric system, used widely in Europe and most of the rest of the world, and the Imperial or British system, a form of which is now chiefly used in the USA.

**Which unit is the smallest? ›**

The smallest possible size for anything in the universe is the **Planck Length**, which is 1.6 x10^{-}^{35} m across.

**What is the basic unit of length? ›**

The basic unit of length in the metric system is **the meter**. All units of length in the metric system are derived from the meter.

**What is the measure of weight? ›**

**The unit of measurement for weight is that of force, which in the International System of Units (SI) is the newton**. For example, an object with a mass of one kilogram has a weight of about 9.8 newtons on the surface of the Earth, and about one-sixth as much on the Moon.

**What is the basic unit for measuring time? ›**

The SI unit of time is **the second**, which has been further accurately defined as “the time interval equal to 9192631770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom (13th CGPM, 1967).” In any case, the unit second is often ...

### What is the unit in a ruler? ›

A ruler is used for measuring length. It usually has four units of measurement: **millimeter, centimeter, inch and feet**.

**What is the definition of a unit? ›**

Unit is **a quantity of constant magnitude which is used to measure the magnitudes of other quantities of the same manner**.

**What is called to measure? ›**

**gauge**. verb. to measure the amount of something, or its strength or speed, using a piece of equipment or a particular method.

**How do you measure measurement? ›**

When taking your measurements, **always use a cloth measuring tape***. For the most accurate results, have someone else measure you. Also, make sure the tape measure is held snugly and firmly (not tightly) against your body and is always parallel to the floor for circumference measurements.

**What is a direct measurement? ›**

What are direct measurements in assessment? Direct measurements **provide actual proof of student learning and are conducted throughout a course or program, as faculty conduct exams, quizzes, demonstrations, and reports**. They include artifacts like essays, exams, or capstone projects, and are often scored with rubrics.

**What are standard measurement methods? ›**

Standard Method of Measurement (SMM) is **the documentation of rules and provisions that could be applied in the measurement of works for all major tasks, trades, sections and elements of construction projects**.

**Why is measurement important? ›**

Measurement skills **help us describe the world around us in accurate, standard ways that others can understand**. Before they learn to measure with standard units, like inches on a ruler, young children are already notificing differences in sizes, distances, temperatures, and more.

**Which is an example of a measure? ›**

A few of those examples are listed below. **Measuring the body temperature using a thermometer**. Measuring the weight of fruits and vegetables in a shop using a weighing machine. Measuring the height of a child to keep his/her growth record.

**Why do we need to measure? ›**

The most common answers are: 1) **to answer questions, 2) to show results, 3) to demonstrate value, 4) to justify our budget (or existence), 5) to identify opportunities for improvement and 6) to manage results**.

**What are the 3 most common units of measurement? ›**

system), also known as the metric system, is used across most countries in the world other than in the United States. The United States follows the Customary units of measurement, which uses feet, quarts, and ounces for measurement. In the metric system, the base units are **meter, liter, and gram**.

### What are examples of measurements in our daily life? ›

Measurements continue to play an important role throughout everybody's life, for example, **during a medical check-up, a sports competition, when building a house, when controlling temperature in appliances, or while cooking**.

**What are standard units scale? ›**

Standard units are what we usually used to measure things like weight, length and volume. Standard units that would be introduced in primary school are **grams, kilograms, meters, kilometres, millilitres and litres**.

**How many types of measurement are there? ›**

You can see there are **four** different types of measurement scales (nominal, ordinal, interval and ratio).

**What are standard units give examples? ›**

What is a Standard Unit of Measurement? The standard unit of measurement is a value that is fixed and cannot be changed. It is needed to have uniformity in measurement. The measurement is measured as **feet, inches, and pounds in the United States and meters, centimetres, and kilograms in the metric system**.

**How many system of units are there? ›**

**Three** systems of unit and their fundamental units: C.G.S. system (or French system): In this system, the unit of length is centimeter (cm), unit of mass is gramme (g) and unit of time is second (s).

**Why are units important in measurement? ›**

For most quantities a unit is necessary **to communicate values of that physical quantity**. For example, conveying to someone a particular length without using some sort of unit is impossible, because a length cannot be described without a reference used to make sense of the value given.

**What is the basic measurement system? ›**

The current international standard for the metric system is the **International System of Units** (Système international d'unités or SI). It is a system in which all units can be expressed in terms of seven units. The units that serves as the SI base units are the metre, kilogram, second, ampere, kelvin, mole, and candela.

**What are the 4 fundamental units of measurement? ›**

The meter (symbol: m), used to measure length. The kilogram (symbol: kg), used to measure mass. The second (symbol: s), used to measure time. The ampere (symbol: A), used to measure electric current.

**What are the four most common types of measurement? ›**

Psychologist Stanley Stevens developed the four common scales of measurement: **nominal, ordinal, interval and ratio**. Each scale of measurement has properties that determine how to properly analyse the data. The properties evaluated are identity, magnitude, equal intervals and a minimum value of zero.

**What is the most common measurements? ›**

**These are the most common measurements:**

- Inches.
- Feet.
- Yards.
- Miles.