MEDIDAS DE COMPRIMENTO - CONVERSÃO DE UNIDADES DE MEDIDA #01

Hi guys, do you remember what magnitudes are? Did you watch the class in which I explained this content? Well, if you watched it and you remember, greatness is everything that can be measured.

For example, I can measure the length of a block of a block. I can measure the area of ​​a surface, I can measure the volume, I can measure the capacity, I can measure the mass of an object or a person. I can measure time too, can't I?

So look how much I can measure, but now you know how to convert the units of these measurements. Oh, you don't know or you don't remember? So I invite you to watch this class where I will explain about converting length measurement units, so let's go.

So, welcome to my channel. I'm Gis and in this class you will learn how to convert measurement units, specifically length units. In other classes I will explain to you how to carry out these conversions using the measurement units of area, mass, volume, capacity and time.

Several, right? We're going to do it, okay? So be sure to subscribe here to the gis channel.

If you are not subscribed to receive notifications of these upcoming classes and leave me a thumbs up. So, guys, before starting the explanation here, let's remember a little about the story, shall we? Of the systems of the International system of units, which is our well-known SI, okay, which is an abbreviation.

Then what happened? Why did they decide to create this system of units? They created to standardize these measurements, it wasn't because in the past they used people, they used their own body parts to carry out the measurements, so if I wanted to measure the length of a piece of land, for example, they used How many steps would you take?

It was not an example to measure anything else they could use, it is the inch, the feet, they used the span, which was also a measurement used for the body. That wasn't it, so what was happening? It turned out that there were variations in these measurements, because one person's hand is different from another person's hand .

One person's steps were also different from another, so there was variation in these measurements. So to achieve standardization, they created the International system of units. Okay, in some countries it differs a little bit, right from another country, for example, here in Brazil we use kilometers to measure distance in other countries.

In some other countries, right? They use the land mile. OK?

So there are some variations, but we're going to focus here, on the ones we use, okay, they're the common ones for us. Right, guys? So let's get started, shall we?

Stop telling stories, right? Let's do what matters, which is converting measurements, okay? So, guys, what do I have here when I talk about the unit of measurement, length is the base unit, our standard unit is, you know, it's the meter, right, it's the meter and so?

So it is the base unit and then I have the units that are larger than the meter that are here. I have units that are smaller than the meter, okay? Units larger than the meter are called multiples of the meter, okay?

And the smallest ones are called submultiples of the meter. Okay, so you can pay attention here that all the units of measurement that I have formed here, they all end with meter, it refers to the meter, o kilometer, it's not like we say, kilometer, o it ends in meter hectometer , end in meter, ecto is the prefix of meter is the suffix, hey now Portuguese teacher, if you are attending my class, you will want to kill Gis now, right? But let's continue.

Decameter, okay? I want you to understand here that it is separate that has the beginning and ends in meter, right here from this meter. Decimeter, centimeter, millimeter, OK, guys?

And now, how do we abbreviate these units of measurement? Because there is an abbreviation, right? For them, do you remember?

So, for us to abbreviate kilometer, I use the unit of measurement, not the unit of measurement, I abbreviate it using KM, look here, look KM, okay? But there comes a question that every time the student asks Giz, but why did you write it with k if it started with qu here? Because, guys, do you know?

why like that, in the International system, so when I talked about units, it's the acronym, right? Kilometer is written with k, okay? And this k comes from the Greek killios, okay, which means 1000, okay?

So they used these initial k to represent this 1000, because 1000, let's talk about 1000, so what? In the Portuguese language. According to our spelling it was written then with qu, hence kilometer.

Then there will be the kilometer. Go to the other one. Do you already remember another one?

Here it starts with what we are going to study another magnitude. Hence it means another unit of measurement that has kilograms. It is not?

Which you also use a lot? So we're going to use it now, you know, so this is due to the International system, okay, so, the abbreviation for kilometer, we use KM and this one for hectometer, do you remember? of the hectometer we will use HM.

And you know, people where we use the hectometer, the hectometer is a common length measurement in Brazilian cities to represent the measurement of a block. It is good? I'm not usually saying that every time, because sometimes there is terrain that is a little uneven, but then I use the hectometer.

It's not about talking about the hectometer, but so you know where I can use it, I can talk about a block on each side of it. What has what? What is a hectometer, what hectometer?

What does the hectometer have to do with the meter? Don't worry, we'll get there, you'll know later, so I have the decameter to abbreviate the decameter. Look here, guys, we use, look, DAM is DAM, so, if you see around, DAM means decameter OK, continuing, now here.

So I said all those that I said so far are the multiples of the method that are greater than the meter, now we are going to talk about those smaller than the meter, which are submultiples. So I have the decimeter that I represent using DM, okay? Then I have the CM, you remember this one, right?

The centimeter represents CM, it's on our ruler that we use at school, it's not for drawing. There you use a ruler, it is 1 cm, isn't it? And there are millimeters too.

Look here, this MM people, isn't that the MM with the candy that we like to eat? The little chocolate is, but every time I teach and talk about millimeters as the unit of measurement MM, I remember the little chocolate, it's a delicious little chocolate, right? Anyway, millimeter, so here I have the names of these measurement units and their respective abbreviations.

It is not? And my paper flew, I'm going to have to pick it up, take a break. Then I'll get it, OK?

So, guys, I'm back with the fugitive MM here, oh, but it's good. Now we fix it well, right? So, unit of measurement, millimeter.

I use MM to represent her, it's good, you won't forget it because he was the truant from Gis's class today, so very good, and now what didn't I include? Did you notice that I didn't include the abbreviation for main unit of measurement here? I left it behind.

Why? Because he is our main one. Let's talk last.

What is the unit of measurement meter, so its abbreviation is M so we simply put the letter M to abbreviate it here, oh, right, very well, now we are going to talk about the size of these measurements, these units of measurement in relation to the meter, do you know how many meters are in 1 km? How many meters are in 1 km? So we know that we have 1000 m within 1 km, right?

So let's put it here and you shouldn't forget that within 1 km there are 1000 m, so all the numbers that I'm going to put here now, these values, they are all in relation to the meter, which is our base unit, right? And now the hectometer, you know, a hectometer is how many meters? A hectometer will be 100 m.

Do you remember that I mentioned the hectometer, which is the size of the measuring block? On the side of a block? So that means you know that there is a hectometer which is the same thing here, 100 m, right?

In some Brazilian cities, okay people, not all the blocks there are going to be measured that sometimes some are irregular, so you say, but we said it, right? Calm down then, some Brazilian cities, right, have this measure? Maybe you didn't measure correctly, you didn't learn mathematics well, right?

Then it was measured a little smaller, just kidding, okay? And now the decameter? How much is the decameter?

So in relation to the meter, a decameter, so we have 10 m inside a decameter, so a decameter is 10 m and here is our meter which is our base unit, just trying to escape here, guys. And then, let's go to the submultiples now in the submultiples of the meter, then. The decimeter, the decimeter has how much in relation to the meter, the decimeter folks, it will be 1 tenth of the meter, okay?

Because it is one part, so it would be one part of 10, okay? So it would be 01, I'm going to represent it in decimal, which is the same thing, which is the fraction 1 tenth and my fugitive, wow, he doesn't want to participate in the class, guys, just because I talked about chocolate, stay quiet there. So here I have 01, which is the tenth and the centimeter?

1 cm in relation to the meter, how much will it be? You already know, 1 cm will be 0. 01 which is 100º, here it represents 0.

01 and finally the partner of the other fugitive, which is in relation to the millimeter, a millimeter is then 0. 001 m which is 0. 001, right guys, it's OK?

Oh, that's good, everything was organized, I'm just going to catch the fugitive here and I came back with another fugitive. OK, so knowing all this, right? From the relationships they have in relation to the metro, this one will escape.

Now I'm not going to rescue any more, it's there, it's good that you mark it in your notebook and that there's a measurement missing here. So guys, how am I going to do it? Measurement conversions, but guys, they don't want to participate in my class, I'm going to write then, right, why don't you want to stop?

And now how am I going to do the measurement conversions, do you know? So I'm going to do the following, I'm going to teach it in 2 ways, okay? So you will try to understand which one is best for you?

Every time I want to transform from one unit of measurement to another. Oh, it gives bigger to smaller than I'm going to do from one unit of measurement to another so from kilometer is from kilometer to transform into hectometer. What do I do?

I multiply by 10, from the kilometer to the hectometer, right from the hectometer to the decameter I multiply by 10, right? It won't be confused with this value that is here, being divided by 10 people, but what am I talking about these measurements in relation to the meter, since they are trying to be fugitives from my class, I'll even take the values ​​from here so you don't get confused now, because I talked about these values, because I wanted you to list how much, then, 1 km was in relation to the meter, how much the hectometer was in relation to the meter, you marked it there even though we had the 2 escapes from here, if you had marked it already, right? So I'm going to take that from here too, okay, then it's straight into the conversion.

So, to transform from kilometer to hectometer, I will multiply by 10 from hectometer to decameter. I also multiply by 10 of the decameter to arrive in meters. I also multiply by 10, now what?

Now we're going to continue, from the meter to the decimeter, I multiply by 10 and from the decimeter to the centimeter, I multiply by 10 and finally from the centimeter to get to the millimeter, I multiply by 10, so see here for a unit of measurement to another, as I'm working with length measurements, right, which is a dimension, I multiply by 10 for each one I skip, is that ok? See, if I want to convert from kilometer to meter, I'm going to skip calculations, look here, look at 123. I skipped 3 places, let's think about it like this, 3 units of measurement 1 km.

So I came here to multiply by 10. Will it be 10? Multiply by 10 again, it will be 100.

Multiply by 10 again, it will be 1000. So does that mean that 1 km is the same as 1000 m? OK?

If you want to convert from hectometer to meter, multiply by 10, multiply by 10, multiply by 10 and multiply by 10 the same thing as multiplying by 20 is not the same thing as multiplying by 100. I have to do 10 × 10 , right? I talked about 20 because a lot of people think that, as there are 2 10s, here it is 20, it is not 10 × 10, always multiples of 10, okay?

So, look, if there are 123 equal houses I made from the kilometer, there would be 3 zeros and I would multiply the number, which in this case, 1 per 1000 is fine, now what? If I want to go back, if I want to come from the smallest unit of measurement, now I'm going to the largest, I'm going to do the opposite. Inverse operation if from here to here, I'm multiplying, now I'm dividing, okay?

So here I go divide by 10 from centimeters to decimeters, I divide by 10, okay? From the decimeter to the meter I also divide by 10 from the meter to the decameter I also divide by 10 from the decameter to the hectometer I also divide by 10 and from the hectometer to the kilometer I also divide by 10. Okay, so, please don't get confused, That's the value I put here, okay?

Because if you look at that value from here to now, it wasn't multiplied by 10, but the value I entered, why was it? Did you pay attention to those values ​​that I put in the green ones here, those values ​​were the measurements of kilometers, how much 1 km was in relation to the meter, how many hectometers were in relation to the meter. So don't get confused, this is the main rule.

But guys, now what am I going to do? For example, if I want to transform, oh, 3. 25 meters, I want to transform this here to hectometer, HM what am I going to do?

Let's analyze. So I have the meter measurement in hand, right? So that means I'm here, on the subway.

I want to get to HM in the hectometer. So what do I have to do, oh the metro, oh 1 2, I jumped, oh 1 2 houses, didn't I? So I think like this, if I'm going to skip 2 spaces, I divide by 10 and divide by 10.

So I'm going to divide by 100, because 100 has two zeros, which is the respective of the 2 spaces that I skipped and you watched the class that I explained, that practical way of when I divide by 10 by 100, I multiply by 10 by 100. The decimal point moves when I divide by 10 by 100 by 1000. Which way does it go, oh, it goes to left.

When I multiply the decimal point, it moves to the right, okay, I'll leave the indication of this class to you, right? So, how am I going to transform this number here? For the hectometer, this means that if I am going back 2 places, the decimal point has to go 2 places to the left.

Okay, so I'm going to write the number here again, 325. So, wasn't the comma here? She takes a step, she skipped one right and will have to skip another 2, so she will stay here.

But this space that was left with nothing, I go there and fill it with zero. So here it will be 0 and 0. So the decimal point wasn't here, it skipped 1 2, okay?

So that means that 3. 25 m is the same thing as 0. 0325 hectometers, okay?

Now, for example, if I want to transform, then 1. 39 is a decameter, I want to transform it into a centimeter now, guys. What should I do now to transform into centimeters?

First thing, then you must locate where your main unit of measurement is, which is what you have. You then have 1. 39 DAM, which is DAM is decameter, so it is here, oh DAM.

You want to go where you want to go to the centimeter, don't you? So you're going to skip, oh 1 2 3, if I'm going to skip 3 spaces it's the same thing as I'm going to multiply by 1000 because there would be 3 zeros in 1000. OK?

But remember, it's easier to move the decimal point to the right, 3 places. So, look, I'm going to write the number again here 139, the decimal point wasn't here guys, so it will skip one, two, and I'll have to put a 0, so look again. It was here, 1 2 3, then it ends up there, in that last space, I need to add another zero there.

I need to leave it like this, oh, or I can simply leave a 1390, you can leave a 1390, which is a whole number, okay, we can omit this last zero here, is that ok? So, every time the comma stops here, there is no need to add another zero, it's good that it represents a number that is integer, so this means that 1. 39 DAM has the same thing as 1390 cm, okay?

Because, DAM, I skipped 1 2 3, then 1 2 3, okay guys, let's do more examples then, shall we? Guys, I brought other examples, several other examples here for us to practice, so how do you do this conversion? Do you remember?

I deleted the line, okay? When you go from one to the other, what do you actually do? Do you remember from here to here?

Every unit of measurement that I skip, I multiply by 10 and if I go back, I divide by 10, right? Remember that now, okay? So, look, what do I have here?

HM really, you should have also taken the name from here so you can remember, because when you go to solve the exercises there you won't have written down what HM means, okay? You'll have to remember if you're alone then, abbreviation for the unit of measurement, but I left it here for you, so HM is the hectometer, okay? So, for me to transform 0.

045 hectometers into meters, hectometer is here for meter, let's see how many places I'm going to skip, oh how many units, oh 1 2, if I skipped 2 that means I have to skip 2 places with the decimal point because I would multiply by 100, so if you want to take it, set up the algorithm and multiply by 100, because there are 2 places that were the two zeros of 100, that's fine, you can, but let's be more practical, right? We need practicality in mathematics, don't we? So I'm going to make the comma move 2 places to the right, so look, the comma is here, it will jump 1 2, it will come from the side of the 4, between the side, not between the 4 and 5, oh it was here, jumped 1 2, so it was 4.

5 m right and now guys, what am I going to do 2 km so I can transform kilometers into meters. Ah, how easy this is, kilometer to meter by 1 2 3, so I would multiply by 1000 because there would be 3 zeros of the 3 spaces I skipped. So 2 × 1000 would be 2000, 2000 m, okay here.

But you'll ask, I know, I'll go back to saying 2 here doesn't have a decimal point, because it's a whole number. Every time you work with a whole number, the comma is here, hidden to the right of the digit, okay? So if I'm going to multiply by 1000, she wasn't here.

Oh, I go 3 spaces, oh 1 2 3, oh, it stops here, but since my number is integer I'm going to hide it and I don't need to write it like I told you at that time, right? 3. 52 gives, where's Dan?

People? It's here, oh. For MM then, MM, I remember MM's escape, hey, I'm going ahead, how many houses am I going to jump?

Let's analyze the decameter, so I 'm going to jump 1 2 3 4 jumping 4 places, it's the same thing as multiplying by 10000 which would be the 4 zeros, but we're going to work with the decimal point which is faster, so the decimal point will move 4 places to the right, so it will be 352 and I'm already going to add zero and I'm going to have to add zero, right? Will a 0 be ok? She was here.

She then jumped from 1 2 3. So does that mean I have to come here and add another zero? So now this measurement is in millimeters, so again it was here, look, mark here, very lightly.

She said 1 2 3 4 which is the same thing as me taking this number here and multiplying it by 10000 is fine. The next one I have so 22. 9 cm centimeters, let's locate centimeters.

It's here, oh. I want to go back now to Dan, which is the decameter, so let's see how many places I'm going to go back 1 2 3 does that mean I would have to divide by 1000? It's good because there are 3 houses.

It would be the 3 zeros of 1000. So, what is the decimal point? Now, the comma goes 3 places to the left, so the comma is here, look, it will return 1 2, so you have to put a 0, right?

It stops 2, puts one, 0 and 3 like this, 1 2 3 it stops here and I complete it with another zero. So it will be 0. 0229 dam let's check.

It's always good to check because we put an extra 0, a minus zero, the comma was here, it's not here, Gis here in this 2, looking at 2 too many, then she skipped 3 places, so she came back 1 2 3, O. Okay, more examples? Let's do more, it's good to practice 11 m, so I have our base measurement unit in meters and I want to transform it to decimeter.

Ah, how easy this production is too, because the examples of meters to decimeters or a little box are very easy, I multiply by 10, so this one is easy, it will be 110 decimeters OK? And now 43. 2 decimeters DM, I want it, DM is here, oh decimeter.

I want to go back to Dan, which is the decameter, so, oh 1 2, I'm going to go back 2 so that means I would have to divide by 100. And if I divide by 100, the decimal point goes back 2 places to the left, goes to the left . So it is here, look, it will return 1 2, so the comma will stay here, I put a 0, it will be 043, let's make a skinny 2 here 0.

432 dam. Okay, 26 km in hectometers, but production is making it much easier for kilometers to hectometers, multiply by 10. Oh, very easy, so it will be 260 hectometers, okay?

And now 200 m in hectometer meter is to hectometer will return 1 2 I will divide by 100 or the decimal point can return 2 places to the left, the decimal point is not here when it is a whole number, just so you remember, so it will go back 2 places, oh 1 2, so it becomes 2. 00, which is the same thing as 2 hectometers, right? Remember from Quadra that there is one that is 100 m, which is a hectometer, so a hectometer is 100 m.

If I have 200 m, I have 2 hectometers, right, guys? What did you think? This way with the comma to the left, to the right is difficult, there is also a way that I think is easier and I will explain it now, so don't leave it, let's do the next way, okay, let's go.

Guys, so we're going to do other examples using another strategy, in fact, I'm going to move, I'm going to divide, but the most practical way is fine, look, I created a table here, right? You don't need to make it cute, you're fine, mine's cute, right? I'm doing my best, you see, you make a table, here you go, look here at the value I have, 43 DM, which is DM decimeter, isn't it?

So I will always put the number, in case the entire part here, oh, the decimal point is not here, then this number here will be in this DM box, which is our decimeter. So the decimeter is here, so 3 is here and 4 is to the left, right? Okay, why do you think what a whole number looks like?

The comma is here. So, whenever the digit that has the comma, it will be in the box corresponding to what I have here. So it's DM, cool.

Where do I want to go, I want to go to Dan, Dan is decameter, so what do I do? I come here complete with zero, look. So this one, which was here in the little house I started, will leave here and go to the little house I went to, which was for Dan, so that's it, look how easy it is, 043 DAM.

It's more difficult to draw the table than to do the math yourself, which is much faster, look, 500 m I want to turn it into a kilometer. 500 m doesn't exist, it's a whole number, the decimal point is here, look. Ok, the comma is hidden there, right?

So that means that if I'm in the meter box, I'm in it so let's find meter is here, so this last zero with the comma is here, this other zero comes to the left and the 5 to the left, right? Where do I want to go? I want to go from the metro, look at the comma where it is to the kilometer, so the comma leaves here and it goes here to the kilometer, but there is no digit.

We complete with zero, wow, complete with zero and the comma here. So does that mean that 500 m is the same as 0. 5 km?

Hence these 2 zeros here I don't even need to write, right? It's not easier to do it here using the table much faster, but then I'll go, see which strategy you understand better, right here, 22. 8 now I brought it with the same decimal point.

22. 8 cm in the centimeter box, where is the centimeter? It's here, so I'm in the centimeter.

Who exactly is the digit that will be there in the centimeters box? Which is 2? Which, right, this 2 here, oh, and then there's 2 2, come on, it's the 2 with the comma on this line here gis, oh my God, 2 with the comma is always it's going to stay in the little box I'm in and then I'm going to distribute the other 8 goes here and 2 the other 2 comes here 22.

8, because I'm in the centimeter box where I want to go, I want to go to the hectometer so until I get there at the hectometer I'll complete with zero, where is the hectometer? The hectometer is here, so what do I do with that one, this one, which was here in 2, I take it out of here and it comes to the hectometer box, so that means people , 22. 8 cm will be the same thing that 0.

00228 hectometers, which is the same thing that I have divided by how much, oh here it was in centimeters, oh, I'll go back. 1 2 3 4 is the same thing as dividing by 10000. Look here, the comma wasn't here, it jumped 1 2 3 4 then, which one did you think was better?

This little table here to set up the table or that one to just move the comma is much faster. That depends. I want to see which one you will do, which one you understand better.

OK guys? So, look, I'm going to close this class, okay? Be sure to watch the next classes in which I will explain how to convert measurements from volume, mass capacity, area and time, is that ok?

Don't forget to watch and don't forget to subscribe to Gis' channel, of course, right? If you're not signed up and leave me a thumbs up in the next class, I promise there won't be a runaway MM or other friends there, Runaways who didn't want to stop at Gis's class today, OK? Until the next class.

Goodbye. . .