Simply put, these are vegetables cooked in water according to special recipe. I will be looking at two source components ( vegetable salad and water) and the finished result - borscht. Geometrically, it can be thought of as a rectangle, with one side representing lettuce and the other side representing water. The sum of these two sides will indicate borscht. The diagonal and area of such a “borscht” rectangle are purely mathematical concepts and are never used in borscht recipes.

How do lettuce and water turn into borscht from a mathematical point of view? How can the sum of two line segments become trigonometry? To understand this, we need linear angular functions.

You won't find anything about linear angular functions in math textbooks. But without them there can be no mathematics. The laws of mathematics, like the laws of nature, work regardless of whether we know about their existence or not.

Linear angular functions are addition laws. See how algebra turns into geometry and geometry turns into trigonometry.

Is it possible to do without linear angular functions? It’s possible, because mathematicians still manage without them. The trick of mathematicians is that they always tell us only about those problems that they themselves know how to solve, and never talk about those problems that they cannot solve. Look. If we know the result of addition and one term, we use subtraction to find the other term. All. We don’t know other problems and we don’t know how to solve them. What should we do if we only know the result of the addition and do not know both terms? In this case, the result of the addition must be decomposed into two terms using linear angular functions. Next, we ourselves choose what one term can be, and linear angular functions show what the second term should be so that the result of the addition is exactly what we need. There can be an infinite number of such pairs of terms. In everyday life, we get along just fine without decomposing the sum; subtraction is enough for us. But in scientific research into the laws of nature, decomposing a sum into its components can be very useful.

Another law of addition that mathematicians don't like to talk about (another of their tricks) requires that the terms have the same units of measurement. For salad, water, and borscht, these could be units of weight, volume, value, or unit of measure.

The figure shows two levels of difference for mathematical . The first level is the differences in the field of numbers, which are indicated a, b, c. This is what mathematicians do. The second level is the differences in the field of units of measurement, which are shown in square brackets and indicated by the letter U. This is what physicists do. We can understand the third level - differences in the area of the objects being described. Different objects can have the same number of identical units of measurement. How important this is, we can see in the example of borscht trigonometry. If we add subscripts to the same unit designation for different objects, we can say exactly what mathematical quantity describes a particular object and how it changes over time or due to our actions. Letter W I will designate water with a letter S I'll designate the salad with a letter B- borsch. This is what linear angular functions for borscht will look like.

If we take some part of the water and some part of the salad, together they will turn into one portion of borscht. Here I suggest you take a little break from borscht and remember your distant childhood. Remember how we were taught to put bunnies and ducks together? It was necessary to find how many animals there would be. What were we taught to do then? We were taught to separate units of measurement from numbers and add numbers. Yes, any one number can be added to any other number. This is a direct path to the autism of modern mathematics - we do it incomprehensibly what, incomprehensibly why, and very poorly understand how this relates to reality, because of the three levels of difference, mathematicians operate with only one. It would be more correct to learn how to move from one unit of measurement to another.

Bunnies, ducks, and little animals can be counted in pieces. One common unit of measurement for different objects allows us to add them together. This children's version tasks. Let's look at a similar task for adults. What do you get when you add bunnies and money? There are two possible solutions here.

First option. We determine the market value of the bunnies and add it to the available amount of money. We got total cost our wealth in monetary terms.

Second option. You can add the number of bunnies to the number of banknotes we have. We will receive the amount of movable property in pieces.

As you can see, the same addition law allows you to get different results. It all depends on what exactly we want to know.

But let's get back to our borscht. Now we can see what will happen when different meanings angle of linear angular functions.

The angle is zero. We have salad, but no water. We can't cook borscht. The amount of borscht is also zero. This does not mean at all that zero borscht is equal to zero water. There can be zero borscht with zero salad (right angle).

For me personally, this is the main mathematical proof of the fact that . Zero does not change the number when added. This happens because addition itself is impossible if there is only one term and the second term is missing. You can feel about this as you like, but remember - all mathematical operations with zero were invented by mathematicians themselves, so throw away your logic and stupidly cram the definitions invented by mathematicians: “division by zero is impossible”, “any number multiplied by zero equals zero” , “beyond the puncture point zero” and other nonsense. It is enough to remember once that zero is not a number, and you will never again have a question whether zero is a natural number or not, because such a question loses all meaning: how can something that is not a number be considered a number? It's like asking what color an invisible color should be classified as. Adding a zero to a number is the same as painting with paint that is not there. We waved a dry brush and told everyone that “we painted.” But I digress a little.

The angle is greater than zero but less than forty-five degrees. We have a lot of lettuce, but not enough water. As a result, we will get thick borscht.

The angle is forty-five degrees. We have equal quantities of water and salad. This is the perfect borscht (forgive me, chefs, it's just math).

The angle is greater than forty-five degrees, but less than ninety degrees. We have a lot of water and little salad. You will get liquid borscht.

Right angle. We have water. All that remains of the salad are memories, as we continue to measure the angle from the line that once marked the salad. We can't cook borscht. The amount of borscht is zero. In this case, hold on and drink water while you have it)))

Here. Something like this. I can tell other stories here that would be more than appropriate here.

Two friends had their shares in a common business. After killing one of them, everything went to the other.

The emergence of mathematics on our planet.

All these stories are told in the language of mathematics using linear angular functions. Some other time I'll show you real place these functions in the structure of mathematics. In the meantime, let's return to borscht trigonometry and consider projections.

Saturday, October 26, 2019

Wednesday, August 7, 2019

Concluding the conversation about, we need to consider an infinite set. The point is that the concept of “infinity” affects mathematicians like a boa constrictor affects a rabbit. The trembling horror of infinity deprives mathematicians of common sense. Here's an example:

The original source is located. Alpha stands for real number. The equal sign in the above expressions indicates that if you add a number or infinity to infinity, nothing will change, the result will be the same infinity. If we take the infinite set as an example natural numbers, then the considered examples can be presented as follows:

To clearly prove that they were right, mathematicians came up with many different methods. Personally, I look at all these methods as shamans dancing with tambourines. Essentially, they all boil down to the fact that either some of the rooms are unoccupied and new guests are moving in, or that some of the visitors are thrown out into the corridor to make room for guests (very humanly). I presented my view on such decisions in the form of a fantasy story about the Blonde. What is my reasoning based on? Relocating an infinite number of visitors takes an infinite amount of time. After we have vacated the first room for a guest, one of the visitors will always walk along the corridor from his room to the next one until the end of time. Of course, the time factor can be stupidly ignored, but this will be in the category of “no law is written for fools.” It all depends on what we are doing: adjusting reality to mathematical theories or vice versa.

What is an “endless hotel”? An infinite hotel is a hotel that always has any number of empty beds, regardless of how many rooms are occupied. If all the rooms in the endless "visitor" corridor are occupied, there is another endless corridor with "guest" rooms. There will be an infinite number of such corridors. Moreover, the “infinite hotel” has an infinite number of floors in an infinite number of buildings on an infinite number of planets in an infinite number of universes created by an infinite number of Gods. Mathematicians are not able to distance themselves from the banal everyday problems: God-Allah-Buddha is always only one, there is only one hotel, there is only one corridor. So mathematicians are trying to juggle the serial numbers of hotel rooms, convincing us that it is possible to “shove in the impossible.”

I will demonstrate the logic of my reasoning to you using the example of an infinite set of natural numbers. First you need to answer a very simple question: how many sets of natural numbers are there - one or many? There is no correct answer to this question, since we invented numbers ourselves; numbers do not exist in Nature. Yes, Nature is great at counting, but for this she uses other mathematical tools that are not familiar to us. I’ll tell you what Nature thinks another time. Since we invented numbers, we ourselves will decide how many sets of natural numbers there are. Let's consider both options, as befits real scientists.

Option one. “Let us be given” one single set of natural numbers, which lies serenely on the shelf. We take this set from the shelf. That's it, there are no other natural numbers left on the shelf and nowhere to take them. We cannot add one to this set, since we already have it. What if you really want to? No problem. We can take one from the set we have already taken and return it to the shelf. After that, we can take one from the shelf and add it to what we have left. As a result, we will again get an infinite set of natural numbers. You can write down all our manipulations like this:

I wrote down the actions in algebraic notation and in set theory notation, with a detailed listing of the elements of the set. The subscript indicates that we have one and only set of natural numbers. It turns out that the set of natural numbers will remain unchanged only if one is subtracted from it and the same unit is added.

Option two. We have many different infinite sets of natural numbers on our shelf. I emphasize - DIFFERENT, despite the fact that they are practically indistinguishable. Let's take one of these sets. Then we take one from another set of natural numbers and add it to the set we have already taken. We can even add two sets of natural numbers. This is what we get:

The subscripts "one" and "two" indicate that these elements belonged to different sets. Yes, if you add one to an infinite set, the result will also be an infinite set, but it will not be the same as the original set. If you add another infinite set to one infinite set, the result is a new infinite set consisting of the elements of the first two sets.

The set of natural numbers is used for counting in the same way as a ruler is for measuring. Now imagine that you added one centimeter to the ruler. This will be a different line, not equal to the original one.

You can accept or not accept my reasoning - it is your own business. But if you ever encounter mathematical problems, think about whether you are following the path of false reasoning trodden by generations of mathematicians. After all, mathematics classes, first of all, form a stable stereotype of thinking in us, and only then add to our mental abilities(or vice versa, they deprive us of free thinking).

pozg.ru

Sunday, August 4, 2019

I was finishing a postscript to an article about and saw this wonderful text on Wikipedia:

We read: "... rich theoretical basis The mathematics of Babylon did not have a holistic character and was reduced to a set of disparate techniques, devoid of common system and evidence base."

Wow! How smart we are and how well we can see the shortcomings of others. Is it difficult for us to look at modern mathematics in the same context? Slightly paraphrasing the above text, I personally got the following:

The rich theoretical basis of modern mathematics is not holistic in nature and is reduced to a set of disparate sections, devoid of a common system and evidence base.

I won’t go far to confirm my words - it has a language and conventions that are different from the language and symbols many other branches of mathematics. The same names in different branches of mathematics can have different meanings. I want to devote a whole series of publications to the most obvious mistakes of modern mathematics. See you soon.

Saturday, August 3, 2019

How to divide a set into subsets? To do this, you need to enter a new unit of measurement that is present in some of the elements of the selected set. Let's look at an example.

May we have plenty A consisting of four people. This set is formed on the basis of “people.” Let us denote the elements of this set by the letter A, the subscript with a number will indicate the serial number of each person in this set. Let's introduce a new unit of measurement "gender" and denote it by the letter b. Since sexual characteristics are inherent in all people, we multiply each element of the set A based on gender b. Notice that our set of “people” has now become a set of “people with gender characteristics.” After this we can divide the sexual characteristics into male bm and women's bw sexual characteristics. Now we can apply a mathematical filter: we select one of these sexual characteristics, no matter which one - male or female. If a person has it, then we multiply it by one, if there is no such sign, we multiply it by zero. And then we use regular school mathematics. Look what happened.

After multiplication, reduction and rearrangement, we ended up with two subsets: the subset of men Bm and a subset of women Bw. Mathematicians reason in approximately the same way when they apply set theory in practice. But they don’t tell us the details, but give us the finished result - “a lot of people consist of a subset of men and a subset of women.” Naturally, you may have a question: how correctly has the mathematics been applied in the transformations outlined above? I dare to assure you that essentially everything was done correctly; it is enough to know the mathematical basis of arithmetic, Boolean algebra and other branches of mathematics. What it is? Some other time I will tell you about this.

As for supersets, you can combine two sets into one superset by selecting the unit of measurement present in the elements of these two sets.

As you can see, units of measurement and ordinary mathematics make set theory a relic of the past. A sign that all is not well with set theory is that mathematicians have come up with their own language and notation for set theory. Mathematicians acted as shamans once did. Only shamans know how to “correctly” apply their “knowledge.” They teach us this “knowledge”.

In conclusion, I want to show you how mathematicians manipulate .

Monday, January 7, 2019

In the fifth century BC ancient Greek philosopher Zeno of Elea formulated his famous aporias, the most famous of which is the aporia “Achilles and the Tortoise.” Here's what it sounds like:

Let's say Achilles runs ten times faster than the tortoise and is a thousand steps behind it. During the time it takes Achilles to run this distance, the tortoise will crawl a hundred steps in the same direction. When Achilles runs a hundred steps, the tortoise crawls another ten steps, and so on. The process will continue ad infinitum, Achilles will never catch up with the tortoise.

This reasoning became a logical shock for all subsequent generations. Aristotle, Diogenes, Kant, Hegel, Hilbert... They all considered Zeno's aporia in one way or another. The shock was so strong that " ... discussions continue to this day; the scientific community has not yet been able to come to a common opinion on the essence of paradoxes ... mathematical analysis, set theory, new physical and philosophical approaches were involved in the study of the issue; none of them became a generally accepted solution to the problem..."[Wikipedia, "Zeno's Aporia". Everyone understands that they are being fooled, but no one understands what the deception consists of.

From a mathematical point of view, Zeno in his aporia clearly demonstrated the transition from quantity to . This transition implies application instead of permanent ones. As far as I understand, the mathematical apparatus for using variable units of measurement has either not yet been developed, or it has not been applied to Zeno’s aporia. Applying our usual logic leads us into a trap. We, due to the inertia of thinking, apply constant units of time to the reciprocal value. From a physical point of view, this looks like time slowing down until it stops completely at the moment when Achilles catches up with the turtle. If time stops, Achilles can no longer outrun the tortoise.

If we turn our usual logic around, everything falls into place. Achilles runs at a constant speed. Each subsequent segment of his path is ten times shorter than the previous one. Accordingly, the time spent on overcoming it is ten times less than the previous one. If we apply the concept of “infinity” in this situation, then it would be correct to say “Achilles will catch up with the turtle infinitely quickly.”

How to avoid this logical trap? Remain in constant units of time and do not switch to reciprocal units. In Zeno's language it looks like this:

In the time it takes Achilles to run a thousand steps, the tortoise will crawl a hundred steps in the same direction. During the next time interval equal to the first, Achilles will run another thousand steps, and the tortoise will crawl a hundred steps. Now Achilles is eight hundred steps ahead of the tortoise.

This approach adequately describes reality without any logical paradoxes. But this is not a complete solution to the problem. Einstein’s statement about the irresistibility of the speed of light is very similar to Zeno’s aporia “Achilles and the Tortoise”. We still have to study, rethink and solve this problem. And the solution must not be sought endlessly large numbers, but in units of measurement.

Another interesting aporia of Zeno tells about a flying arrow:

A flying arrow is motionless, since at every moment of time it is at rest, and since it is at rest at every moment of time, it is always at rest.

In this aporia, the logical paradox is overcome very simply - it is enough to clarify that at each moment of time a flying arrow is at rest at different points in space, which, in fact, is motion. Another point needs to be noted here. From one photograph of a car on the road it is impossible to determine either the fact of its movement or the distance to it. To determine whether a car is moving, you need two photographs taken from the same point at different points in time, but you cannot determine the distance from them. To determine the distance to a car, you need two photographs taken from different points in space at one point in time, but from them you cannot determine the fact of movement (of course, you still need additional data for calculations, trigonometry will help you). What I want to point out Special attention, is that two points in time and two points in space are different things that should not be confused, because they provide different opportunities for research.
I'll show you the process with an example. We select the “red solid in a pimple” - this is our “whole”. At the same time, we see that these things are with a bow, and there are without a bow. After that, we select part of the “whole” and form a set “with a bow”. This is how shamans get their food by tying their set theory to reality.

Now let's do a little trick. Let’s take “solid with a pimple with a bow” and combine these “wholes” according to color, selecting the red elements. We got a lot of "red". Now the final question: are the resulting sets “with a bow” and “red” the same set or two different sets? Only shamans know the answer. More precisely, they themselves do not know anything, but as they say, so it will be.

This simple example shows that set theory is completely useless when it comes to reality. What's the secret? We formed a set of "red solid with a pimple and a bow." The formation took place in four different units of measurement: color (red), strength (solid), roughness (pimply), decoration (with a bow). Only a set of units of measurement allows us to adequately describe real objects in the language of mathematics. This is what it looks like.

The letter "a" with different indices denotes different units of measurement. The units of measurement by which the “whole” is distinguished at the preliminary stage are highlighted in brackets. The unit of measurement by which the set is formed is taken out of brackets. The last line shows the final result - an element of the set. As you can see, if we use units of measurement to form a set, then the result does not depend on the order of our actions. And this is mathematics, and not the dancing of shamans with tambourines. Shamans can “intuitively” come to the same result, arguing that it is “obvious,” because units of measurement are not part of their “scientific” arsenal.

Using units of measurement, it is very easy to split one set or combine several sets into one superset. Let's take a closer look at the algebra of this process.

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1 meter [m] = 10 decimeter [dm]

Initial value

Converted value

meter exameter petameter terameter gigameter megameter kilometer hectometer decameter decimeter centimeter millimeter micrometer micron nanometer picometer femtometer attometer megaparsec kiloparsec parsec light year astronomical unit league naval league (UK) maritime league (international) league (statutory) mile nautical mile (UK) nautical mile (international) mile (statutory) mile (USA, geodetic) mile (Roman) 1000 yards furlong furlong (USA, geodetic) chain chain (USA, geodetic) rope (English rope) genus genus (USA, geodetic) pepper floor (English) . pole) fathom, fathom fathom (US, geodetic) cubit yard foot foot (US, geodetic) link link (US, geodetic) cubit (UK) hand span finger nail inch inch (US, geodetic) barley grain (eng. barleycorn) thousandth of a microinch angstrom atomic unit of length x-unit Fermi arpan soldering typographical point twip cubit (Swedish) fathom (Swedish) caliber centiinch ken arshin actus (Ancient Roman) vara de tarea vara conuquera vara castellana cubit (Greek) long reed reed long elbow palm "finger" Planck length classical electron radius Bohr radius equatorial radius of the Earth polar radius of the Earth distance from the Earth to the Sun radius of the Sun light nanosecond light microsecond light millisecond light second light hour light day light week Billion light years Distance from the Earth to the Moon cables (international) cable length (British) cable length (USA) nautical mile (USA) light minute rack unit horizontal pitch cicero pixel line inch (Russian) inch span foot fathom oblique fathom verst boundary verst

Convert feet and inches to meters and vice versa

foot inch

The Science of Coffee Making: Pressure

More about length and distance

General information

Length is the largest measurement of the body. In three-dimensional space, length is usually measured horizontally.

Distance is a quantity that determines how far two bodies are from each other.

Measuring distance and length

Units of distance and length

In the SI system, length is measured in meters. Derived units such as kilometer (1000 meters) and centimeter (1/100 meter) are also commonly used in the metric system. Countries that do not use the metric system, such as the US and UK, use units such as inches, feet and miles.

Distance in physics and biology

In biology and physics, lengths are often measured at much less than one millimeter. For this purpose, a special value has been adopted, the micrometer. One micrometer is equal to 1×10⁻⁶ meters. In biology, micrometers measure the size of microorganisms and cells, and in physics, the length of infrared electromagnetic radiation. A micrometer is also called a micron and is sometimes, especially in English literature, denoted by the Greek letter µ. Other derivatives of the meter are also widely used: nanometers (1 × 10⁻⁹ meters), picometers (1 × 10⁻¹² meters), femtometers (1 × 10⁻¹⁵ meters and attometers (1 × 10⁻¹⁸ meters).

Navigation distance

Shipping uses nautical miles. One nautical mile is equal to 1852 meters. It was originally measured as an arc of one minute along the meridian, that is, 1/(60x180) of the meridian. This made latitude calculations easier, since 60 nautical miles equaled one degree of latitude. When distance is measured in nautical miles, speed is often measured in knots. One knot equal to a speed of one nautical mile per hour.

Distance in astronomy

In astronomy, large distances are measured, so special quantities are adopted to facilitate calculations.

Astronomical unit(au, au) is equal to 149,597,870,700 meters. The value of one astronomical unit is a constant, that is, a constant value. It is generally accepted that the Earth is located at a distance of one astronomical unit from the Sun.

Light year equal to 10,000,000,000,000 or 10¹³ kilometers. This is the distance that light travels in a vacuum in one Julian year. This quantity is used in popular science literature more often than in physics and astronomy.

Parsec approximately equal to 30,856,775,814,671,900 meters or approximately 3.09 × 10¹³ kilometers. One parsec is the distance from the Sun to another astronomical object, such as a planet, star, moon, or asteroid, with an angle of one arcsecond. One arcsecond is 1/3600 of a degree, or approximately 4.8481368 microrads in radians. Parsec can be calculated using parallax - the effect of visible changes in body position, depending on the observation point. When making measurements, lay a segment E1A2 (in the illustration) from the Earth (point E1) to a star or other astronomical object (point A2). Six months later, when the Sun is on the other side of the Earth, a new segment E2A1 is laid from the new position of the Earth (point E2) to the new position in space of the same astronomical object (point A1). In this case, the Sun will be at the intersection of these two segments, at point S. The length of each of the segments E1S and E2S is equal to one astronomical unit. If we plot a segment through point S, perpendicular to E1E2, it will pass through the intersection point of segments E1A2 and E2A1, I. The distance from the Sun to point I is segment SI, it is equal to one parsec, when the angle between segments A1I and A2I is two arcseconds.

On the image:

A1, A2: apparent star position
E1, E2: Earth position
S: Sun position
I: point of intersection
IS = 1 parsec
∠P or ∠XIA2: parallax angle
∠P = 1 arcsecond

Other units

League- an obsolete unit of length previously used in many countries. It is still used in some places, such as the Yucatan Peninsula and rural areas of Mexico. This is the distance a person travels in an hour. Sea League - three nautical miles, approximately 5.6 kilometers. Lieu is a unit approximately equal to a league. IN English language both leagues and leagues are called the same, league. In literature, league is sometimes found in the title of books, such as “20,000 Leagues Under the Sea” - the famous novel by Jules Verne.

Elbow- an ancient value equal to the distance from the tip of the middle finger to the elbow. This value was widespread in the ancient world, in the Middle Ages, and until modern times.

Yard used in the British Imperial system and is equal to three feet or 0.9144 meters. In some countries, such as Canada, where the metric system is adopted, yards are used to measure fabric and the length of swimming pools and sports fields and fields, such as golf and football courses.

Definition of meter

The definition of meter has changed several times. The meter was originally defined as 1/10,000,000 of the distance from North Pole to the equator. Later, the meter was equal to the length of the platinum-iridium standard. The meter was later equated to the wavelength of the orange line of the electromagnetic spectrum of the krypton atom ⁸⁶Kr in a vacuum, multiplied by 1,650,763.73. Today, a meter is defined as the distance traveled by light in a vacuum in 1/299,792,458 of a second.

Computations

In geometry, the distance between two points, A and B, with coordinates A(x₁, y₁) and B(x₂, y₂) is calculated by the formula:

and within a few minutes you will receive an answer.

Calculations for converting units in the converter " Length and distance converter" are performed using unitconversion.org functions.

Today we will look at what units of length are used in measurements.

Centimeter and millimeter

But first, let's look at the main tool that schoolchildren use - ruler.

Look at the picture. Minimum price for dividing a ruler – millimeter. Indicated by: mm. Large divisions indicate a centimeter. There are 10 millimeters in one centimeter.

The centimeter is divided in half, five millimeters, with smaller divisions. Centimeter denoted as: see

To measure a segment, the ruler is placed with a zero division at the beginning of the measured segment, as shown in the figure. The division at which the segment ends is the length of this segment. The length of the segment in the figure is 5 cm or 50 mm.

The following figure shows a segment with a length of 5 cm 6 mm, or 56 mm.

Let's look at a few examples of converting different units of length:

For example, we need to convert 1 m 30 cm to centimeters. We know that in 1 meter – 100 centimeters. It turns out:

100cm + 30cm = 130cm

For reverse translation, we separate a hundred centimeters - this is 1m and there remains another 30 cm. Answer: 1m 30cm.

If we want to express centimeters in millimeters, remember that in 1 centimeter – 10 millimeters.

For example, let's convert 28 cm to millimeters: 28 × 10 = 280

So at 28 cm – 280 mm.

Meter

The basic unit of length is meter. The remaining units of measurement are derived from the meter using Latin prefixes. For example, in the word centimeter The Latin prefix centi means one hundred, meaning there are one hundred centimeters in one meter. In the word millimeter, the prefix milli is a thousand, which means that there are a thousand millimeters in one meter.

Ten centimeters is 1 decimeter. Indicated by: dm. There are 10 decimeters in 1 meter

Let's express it in centimeters:

1 dm = 10 cm

4 dm = 40 cm

3 dm 4 cm = 30 cm + 4 cm = 34 cm

1 m 2 dm 5 cm = 100 cm + 20 cm + 5 cm = 125 cm

Now let’s express it in decimeters:

1 m = 10 dm

4 m 8 dm = 48 dm

20 cm = 2 dm

So many different types measurements and how to compare the lengths of different segments, if the first segment is 5 cm long 10 mm, and the second 10 dm. The main rule for comparing quantities will help us understand our problem:

To compare measurement results, you need to express them in the same units.

So, let's convert the length of our segments into centimeters:

5 cm 10 mm = 51 cm

10 dm = 100 cm

51 cm< 100 см

This means the second segment is longer than the first.

Kilometer

Long distances are measured in kilometers. IN 1 kilometer – 1000 meters. Word kilometer formed using the Greek prefix kilo – 1000.

Let's express kilometers in meters:

3 km = 3000 m

23 km = 23000 m

And back:

2400 m = 2 km 400 m

7650 m = 7 km 650 m

So, let's summarize all units of measurement in one table:

How to convert meters to decimeters?

How many decimeters are in one meter?

Therefore, to convert meters to decimeters, you need to multiply the number of meters by 10:

Let's look at the conversion of meters to decimeters using specific examples.

Express meters in decimeters:

1) 4 meters;

2) 12 meters;

3) 30 meters;

4) 5.2 meters;

5) 25 meters 7 decimeters.

To abbreviate the notation, the following notation is used:

1 meter = 1 m;

1 decimeter = 1 dm.

To convert meters to decimeters, multiply the number of meters by 10:

1) 4 m=4∙10 dm=40 dm;

2) 12 m=12∙10 dm=120 dm;

3) 30 m=30∙10 dm=300 dm;

4) 5.2 m=5.2∙10 dm=52 dm;

5) 25 m 7 dm=25∙10 +7 dm=257 dm.

Svetlana Mikhailovna Units of measurement

To find out how many decimeters meters you should use a simple web calculator. In the left field, enter the number of counters you want to convert for conversion.

In the field on the right you will see the calculation result.

Decimeter meter

To convert counters or decimeters to other units of measurement, simply click the appropriate link.

What is "meter"

The meter (m, m) is one of the seven basic units of the international system (SI), which is also included in the MKS MSC, MKSK, investor compensation schemes, MSC, MKSI, MCC and MTS. The counter is the distance traveled by light in a vacuum in 1/299,792,458 seconds.

The definition adopted in 1983 by the General Conference on Weights and Measures means that the term "meter" is related to the second by a universal constant (the speed of light).

For a long time in Europe there were no standard measures for determining length.

In the 17th century, an urgent need for unification arose. Century. With the development of science, the search for a measure based on a natural phenomenon began to make it possible to calculate the decimal system. Then the “Catholic meter” of the Italian scientist Tito Livio Burattini was adopted.

In 1960, From the control man and dropped to 1983. The pressure gauge was at 1650763.73 wavelengths of the orange line (6056 nm) in the krypton range of the isotope 86Kr in a vacuum.

This prototype is not currently useful. Since the mid-1970s, when the speed of light became as precise as possible, it was decided that the existing concept of a meter related to the speed of light in a vacuum.

What is "decimeter"?

Unit of distance in the International System of Units (SI) One decimeter is equal to a tenth of a meter.

Russian brand - dm, international - dm. There are 10 centimeters and 100 millimeters in a decimeter.

How much is this in decimeters

Unit weight
1 t =	10 centers	1000 kg	1000 000 g	1000 000 000 mg
1 s =	100 kg	100,000 g	100,000,000 mg
1 kg =	1000g	1000 mg
1 g =	1000 mg

1 meter is how many dm??

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How many decimeters are in 1 meter (how many dm are in 1 m)?

According to the international system of weights and measures in 1 meter 10 decimeters.

Online calculator for converting meters to decimeters.

Converting units of length, mass, time, information and their derivatives is a fairly simple task.

For these purposes, our company's engineers have developed universal calculators mutual translation of different units of measurement among themselves.

Universal unit calculators:

Length units calculator
- mass unit calculator
- area unit calculator
- volume unit calculator
- time unit calculator

Theoretical and practical concepts of converting one unit of measurement into another are based on centuries of experience in scientific research of mankind in applied fields of knowledge.

Theory:

Mass is a characteristic of a body, which is a measure of gravitational interaction with other bodies.

Length is the numerical value of the length of a line (not necessarily straight) from the starting point to the ending point.

Time is a measure of the flow of physical processes of sequential changes in their state, in practice flowing in one direction continuously.

Information is a form of information in any representation (with regard to calculation, mainly in digital form).

Practice:

This page provides the simplest answer to the question how many decimeters are in 1 meter.

One meter is equal to 10 decimeters.

LENGTH MEASURES or LINEAR

MEASURES OF MASS

AREA MEASURES
1 sq. decimeter (sq. dm) = 100 sq. centimeters (sq. cm) = 10,000 sq. millimeters (sq. mm.) 1 ar (a) = 100 sq. meters (sq. m)
MEASURES OF VOLUME
1 cu. Decimeter to centimeter meter (cubic m) = 1,000 cubic meters decimeters = 1,000,000 cubic meters centimeters (cubic cm) 1 liter (l) = 1000 milliliters (ml)

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Read also:

Thermal properties of substances
Density of gases and vapors

Measures of length, area, mass, volume

The table shows measures of length, area, mass, volume, as well as ratios for conversion.

LENGTH MEASURES or LINEAR
1 kilometer (km) = 1,000 meters (m) 1 meter (m) = 10 decimeters (dm) = 100 centimeters (cm) 1 decimeter (dm) = 10 centimeters (cm) 1 centimeter (cm) = 10 millimeters (mm)
MEASURES OF MASS
1 ton (t) = 1,000 kilograms (kg) 1 quintal (c) = 100 kilograms (kg) 1 kilogram (kg) = 1,000 grams (g) 1 gram (g) = 1,000 milligrams (mg)
AREA MEASURES
1 sq. kilometer (sq. km) = 1,000,000 sq. meters (sq. m) 1 sq. meter (sq. m) = 100 sq. decimeters (sq. dm) = 10,000 sq. centimeters (sq. cm) 1 sq. decimeter (sq. How many meters in dm dm) = 100 sq. centimeters (sq. cm) = 10,000 sq. millimeters (sq. mm.) 1 hectare (ha) = 100 ares (a) = 10,000 sq. meters (sq. m) 1 ar (a) = 100 sq. meters (sq. m)
MEASURES OF VOLUME
1 cu. meter (cubic m) = 1,000 cubic meters decimeters = 1,000,000 cubic meters centimeters (cubic cm) 1 cu. decimeter (cubic dm) = 1,000 cubic meters centimeters (cubic cm) = 1,000,000 cubic meters millimeters (cubic mm) 1 liter (l) = 1 cu. decimeter (cubic dm) 1 hectoliter (hl) = 100 liters (l) 1 liter (l) = 1000 milliliters (ml)

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Message #7607, written on 05/05/2018 at 19:04 Moscow time, has been deleted.

Read also:

Specific heat of combustion of fuel
The table shows the specific heat of combustion for gasoline, wood, diesel fuel, coal, kerosene, gunpowder, alcohol, jet fuel (TS-1).
Anglo-American system of measures
Anglo-American measures of length, area and volume: nautical, English, international, geographical miles, inch, foot, yard, weave, hectare, acre, grain, carat, troy ounce, pound, cental, short, long and register tons, pint , quart, gallon, barrel, bushel.
Thermal properties of substances
The table shows the specific heat capacity, melting point, specific heat of fusion for solids, specific heat capacity, boiling point, specific heat of vaporization for liquids and specific heat capacity, condensation temperature for gases.
Density of gases and vapors
The table shows the densities and formulas for the main gases and vapors.
Density of solids and liquids
The table shows densities for some solids and liquids.

How many liters are in one cube of water?

To answer similar question, you need to understand the following. To begin with, let's define What is 1 liter and what is it equal to?

1 l = 1 dm3 = 0.001 m3, this means that 1 liter will be equal to 1 cubic decimeter.

Moreover, this equality makes sense at normal atmospheric pressure (760 mmHg) and a temperature of 3.980C (the temperature at which water has the greatest density);

Let's determine the volume of the cube. To do this, let's multiply all its faces. As a result, we will have 1000 dm3 or 1000 liters of water (at 760 mmHg and temperature 3.980C).

Answer:1 m3 (cube) of H2O contains 1000 liters!

Now let’s write answers to interesting questions from users!

How many liters of diesel fuel are in one cube? — Answer: If you carefully read the presented material, you should understand that the type of liquid does not matter. If you take a 10 liter canister and fill it with solarium, it will be a volume of 10 liters. We found out that a cube is equal to 1000 liters. This means there will be the same amount of solariums.

How many liters are in one barrel? — Answer: Also an interesting question. Many have heard the concept of a barrel, but what it equals to represent the quantity is not entirely clear. So, barrel translated from English means Barrel. Barrels vary in size. It’s the same with barrels - there are different sizes. One thing they have in common is a measure of any granular or liquid substance. We are probably more interested in the barrel that is mentioned with the concept of Oil.

How many decimeters are in one meter?

There is a special measure to measure the amount of oil - the Oil Barrel. It is equal to 158.988 ≈ 159 liters.

How many kg of water are in a cube? — Answer: the number of kilograms of water depends on atmospheric pressure. Therefore, it is customary to measure such values at Normal atmospheric pressure of 101,325 Pa in accordance with international standards. For water, you also need to take into account the fact of its maximum density, at which more molecules can fit into a volume of 1 cubic meter. Thus, at a temperature of 3.98 °C, the density of H2O is maximum. Under such conditions, 1000 kg of H2O would fit into a cubic meter.

How many liters are in a gallon? — Answer: There are several quantities called Gallon. The most popular value is 1 US gallon, which is equal to ≈ 3.78 liters.

How many buckets of water are there in a cubic meter? — Answer: buckets are different. Find out the displacement of your bucket, read this article and you will understand what you need to divide by to find out the number of your buckets.

How much water for one cube of maggi? — Answer: Is this a joke or are you off topic? Read the instructions for the maggi, it should be written there.

What is the amount of gas in 1 m³? — Answer: still the same 1000 liters. It doesn’t matter what substance: air, propane, methane, gasoline, concrete, or something else...

How to calculate in kg how many potatoes there will be in 1 m³? — Answer: Take a 10 liter bucket, fill it with potatoes, put it on the scales and determine the number of kilograms. Multiply the result by 100. Get the number of kilograms of potatoes ≈ 1 m³.

What is the displacement in 1 dal? - Answer: There is a unit of measurement called Dal or Deciliter, which is used mainly in winemaking. It is equal to 10 l.

What is the amount of air in 1 bar? — Answer: The question is not correct. 1 bar is a pressure measurement value, not a quantity measurement value.

How many m3 will there be in 120 liters of water? - Answer: You need to divide the number of Liters by 1000, you get the result in m³. In your case, 120 l = 0.12 m³. For all other users with different amounts of liquid, use this example.

In 2015 I will present you with a couple of examples of problem solving on our topic and this will facilitate the understanding of calculations and conversion of quantities.

Now I will present to you, as an addition, interesting article about how long a person can live without water and fantastic cases in the history of mankind that actually took place.

Read about how long a person can go without water - tyts

It’s no secret to anyone how difficult the economic conditions are We all ended up. It's time to think about saving resources. And since the topic of our article is a measure of water, it’s time to show you a way to actually save 70 percent of the amount that you were used to spending in times of economic prosperity without looking back. So, let's watch the video.

Thank you all for your attention!

Alla Kun good!

Hash: a6ce8e40a9a6ce8e40a9

How to calculate 1 linear meter of linoleum

To find out how much square meters linoleum is contained in one linear meter (hereinafter referred to as p/m or lm), it is necessary to measure its width. Number of sq. m contained in one p/m of linoleum is equal to its width.

The pictures show samples of one p/m linoleum one meter long and 3, 2 and 1 meter wide.

1 p/m 1 p/m 1 p/m

So, the consumption of linoleum is 4 l.m. However, more linoleum may be required, depending on the design. And what’s more, linoleum deforms in rolls - it’s difficult to measure.

Linoleum is produced in a width of 4 m.

Let's calculate the consumption of linoleum, the width of which is 4 m.

To calculate linoleum consumption, you need 12 sq.m. divide by 4 m. (12/4=3)

The previous two examples are simple - width flooring matches the length of the floor or its width. Let's consider a more complex example, when the width of the floor covering does not match the length or width of the floor.

Let's assume the room parameters remain the same.
Let the linoleum be 1.6 m wide (for clarity).

How many meters are in a decimeter?

Then one p/m of this flooring is 1.6 sq.m.

Calculation: 12 sq.m. /1.6 sq.m. = 7.5 l.m.

However, in order not to cover the floor with small pieces, it is necessary to take into account the width and length of the floor, so it is better to buy 8 p/m of covering (possibly more, if you take into account the location of the pattern).

1.6 m.

Linoleum consumption is 2 sheets of 4 p/m. However, it is preferable to cover the floor with whole canvases.

This is exactly how the consumption of wallpaper, carpet and other carpet products is calculated.

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1 meter [m] = 10 decimeter [dm]

Initial value

Converted value

Convert feet and inches to meters and vice versa

foot inch

More about length and distance

General information

Length is the largest measurement of the body. In three-dimensional space, length is usually measured horizontally.

Distance is a quantity that determines how far two bodies are from each other.

Measuring distance and length

Units of distance and length

Distance in physics and biology

In biology and physics, lengths are often measured at much less than one millimeter. For this purpose, a special value has been adopted, the micrometer. One micrometer is equal to 1×10⁻⁶ meters. In biology, the size of microorganisms and cells is measured in micrometers, and in physics, the length of infrared electromagnetic radiation is measured. A micrometer is also called a micron and is sometimes, especially in English literature, denoted by the Greek letter µ. Other derivatives of the meter are also widely used: nanometers (1 × 10⁻⁹ meters), picometers (1 × 10⁻¹² meters), femtometers (1 × 10⁻¹⁵ meters and attometers (1 × 10⁻¹⁸ meters).

Navigation distance

Shipping uses nautical miles. One nautical mile is equal to 1852 meters. It was originally measured as an arc of one minute along the meridian, that is, 1/(60x180) of the meridian. This made latitude calculations easier, since 60 nautical miles equaled one degree of latitude. When distance is measured in nautical miles, speed is often measured in knots. One sea knot equals a speed of one nautical mile per hour.

Distance in astronomy

In astronomy, large distances are measured, so special quantities are adopted to facilitate calculations.

On the image:

A1, A2: apparent star position
E1, E2: Earth position
S: Sun position
I: point of intersection
IS = 1 parsec
∠P or ∠XIA2: parallax angle
∠P = 1 arcsecond

Other units

League- an obsolete unit of length previously used in many countries. It is still used in some places, such as the Yucatan Peninsula and rural areas of Mexico. This is the distance a person travels in an hour. Sea League - three nautical miles, approximately 5.6 kilometers. Lieu is a unit approximately equal to a league. In English, both leagues and leagues are called the same, league. In literature, league is sometimes found in the title of books, such as “20,000 Leagues Under the Sea” - the famous novel by Jules Verne.

Elbow- an ancient value equal to the distance from the tip of the middle finger to the elbow. This value was widespread in the ancient world, in the Middle Ages, and until modern times.

Definition of meter

The definition of meter has changed several times. The meter was originally defined as 1/10,000,000 of the distance from the North Pole to the equator. Later, the meter was equal to the length of the platinum-iridium standard. The meter was later equated to the wavelength of the orange line of the electromagnetic spectrum of the krypton atom ⁸⁶Kr in a vacuum, multiplied by 1,650,763.73. Today, a meter is defined as the distance traveled by light in a vacuum in 1/299,792,458 of a second.