# Unit conversion within the metric system | Pre-Algebra | Khan Academy

Welcome to the units show Let us start If I want to ask you, or if I want to say, I have traveled 0.05 km – some people say a kilometer kilometer If you travel a distance of 0.05 km, how many Have you traveled ?? This question mark indicates the centimeter So before we start with the calculations, it is important to We know what the prefixes mean for my year and kilo It is a good idea to memorize this, or when you first start By solving these issues, you can just write them on Paper, for your reference So kilo means 1,000, hecto means 100, and roosters mean 10 Perhaps you realize that this came from the word contract, that is, 10 years Hence, of course, when there is no prefix, that means 1 Without a prefix Without a prefix equal to 1 Disi is 0.1 or 1/10 SENTI – I’ll keep on switching between cases – The year is equal to 0.01 or 1/100 Then the milliliter is equal to 0.001, and that Equivalent to 1 / 1,000 And the way I remember them, I mean, Sinti, if you think Mother of forty-four, she has 100 feet Millipede, I’m not sure the millipede has 1,000 feet, however That is implied when someone says the millipede Because the millennium indicates feet So let’s get back to the issue If I have 0.05 km, how many centimeters do I have? When I solve an issue like this, I am actually better To convert the number to the unit per square meter because that Too simple for me In fact, I will shorten this to how much, and We can reduce the centimeter to cm Let’s say 0.05 km Well, if I wanted to convert this to a meter, would it be More than 0.05 meters or less than 0.05? Well, a kilometer is a great distance, so in terms of The meter, there will be many more We can multiply this by 1,000 meters, and I’ll put it At 1, per kilometer How long will the product be? Well 0.05 x 1,000 = 50, right? You have multiplied 0.05 x 1,000 For units, I now have a kilometer x M / km The kilometer is deleted This is familiar to you, you can handle units Exactly the same way you deal with numbers Or variables As long as you have the same unit in the numerator and Denominator, you can delete them, assuming you are Do not add units, but multiply units So we have a kilometer x meters ÷ kilometers This is equal to 50 meters It is always good to check after each step When you solve this kind of problem, you will often say, well, then I wanted to move from kilometers to meters, I will use The number is 1,000, because that is the relationship between Kilometer and meter And you’re always confused, well, do you hit 1,000 Or swear by 1,000? And you have to always say, well, if you go from Kilometers to meters, it will – 1 kilometer = 1,000 meters, right? So I will multiply by 1,000 And I will get more number That’s why I moved from 0.05, and I hit it With 1,000, I got 50 So let’s get back to the issue 0.05 km = 50 meters We are not done yet Now we need to convert these 50 into centimeters Well, we do the same 50 meters x – how much? – So what is the relationship between The meter and centimeter? Well, if we look at the table, we’ll see it’s 100 The question I want to ask you is, will I strike By 100, or will I divide by 100? Well, it’s the same We are moving from one major unit to a small unit, so one of Major units are equal to a set of smaller units So we will hit We say x 100 centimeter / meter, right? This is logical There is 100 centimeters in every meter So 50 meters x 100 centimeters / meters = 50 x 100 = 5,000, then the meter is omitted And we get a centimeter So what we have here is that 0.05 km = 5,000 cm Let us solve another issue I think the more you see issues, the more it will make you You know more And always try to envision what we are doing, that is, gradient Otherwise, it will be confusing, as for To multiply or divide Let’s suppose I have 422 decigrams Gram is a unit of measurement for the mass One gram is a very small amount This is what it hardens – I think it’s in the metric system Gold is measured in grams And I want to convert this to milligrams So it was said that we begin to solve the problem, let us check Am I moving from a major unit to a small unit, or from a small unit? Into a big unit? Well, the decigram equals 1/10 gram, and I’m moving From 1,000 / 1,000 grams There are two ways to do this We can convert to grams and then convert to another unit This sometimes trivializes things Or we can say, well, how many milligrams Equal to 1 decigram? Well, the milligram, as we see here, is 100 × Something smaller, right? To go from 1/10 to 1 / 1,000, we have to reduce Size is 100 So we can say 422 decg x 100 Milligram / decigram Then the desigram will be deleted, and I will get 422 X 100, that’s 42,200 milligrams Now, the other method that you use to solve it is the method That we used in the last issue We can say 422 decagrams, we can convert it to grams We could say 422– I will say dysgam It is not a familiar unit – desigram How many decigrams are in every gram? If we go to the gram, 422 will be a small number Of fines, right? So we can say x 1 decigram is equal to How many grams? Well, 1 decigram = – no, sorry– 1 gram is equal to how many decigrams? Well, 1 gram = 10 decigrams And the reason why this makes sense is if we have a desigram In the numerator here, we want to desigram in The maqam If they omit the decigram, then 422 decigram = Divide this by 10 = 42.2 grams Now we can switch from grams to milligrams Well, that’s simple 1 gram = 1,000 milligrams, so we can say X 1,000 mg / g Gram is deleted, we have 42,200 remaining Milligrams, right? 42.2 x 1,000 I hope that did not confuse you much The important thing is to take a step back Do you think and think, should I get it? A greater number or a smaller number than that You started with it? I think you are ready now to try some issues enjoy your time 