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Bruch in Kommazahl umwandeln – Bruch in Dezimalzahl umwandeln im Kopf

Mar 16, 2024
Hi, I'm Susanne and today I would like to share with you many examples of how you can convert fractions to decimal numbers and we will do this with decimal numbers, so these are decimal numbers, they really run out. at some point at some point in the recurring decimal numbers, however, they continue to run, so here if it says 0 period 6 then that means that the six repeats over and over again 66 66 and so on, the higher ones don't Also the ones that They don't stop talking, they do it and with those states but that is the simplest version.
bruch in kommazahl umwandeln bruch in dezimalzahl umwandeln im kopf
We should convert 24 tenths into a decimal number. That's good because there's already a 10 down. That's always the goal: to look. in the denominator down here and see if your 10 is 100,000 10,000 raised to a power of ten like this and then you can directly convert this number here into a commercial one like calculating 24 times 10, how do you do that? Yes, you can basically write low 24 and divide by 10. Now you have to put the decimal point so that the decimal point is here after the number when we go through 10, we have to divide the decimal point by 1 and then move it to the left like a little mnemonic.
bruch in kommazahl umwandeln bruch in dezimalzahl umwandeln im kopf

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bruch in kommazahl umwandeln bruch in dezimalzahl umwandeln im kopf...

Then we could also see if it is correct. There was a zero here. Here you have a decimal and then it fits, so you always have to have as many decimals here in the result. Here then nine out of ten were good. So, let's go. straight to the second example here we also look at the denominator, 100 is great, that's good, we can directly calculate 35 times 100 so we can write the 35, leave a little space in front. The 100 says that now we need two decimal places. places, so the decimal point now needs to be moved two places to the left and then we fill the front here with a zero to two zeros here two decimal places.
bruch in kommazahl umwandeln bruch in dezimalzahl umwandeln im kopf
The result is correct even if the numbers get larger, just as it is when it says 10,000 at the bottom. Okay, so we can convert everything directly. The 125 was written on the back. There was a little bit of space at the back because we need 1234 decimals, but here we have to fill 1234 with a zero and in the front it also goes to Berlin, so if it says 1900 or 1000 or something else at the bottom, is that different? Here it is now after five rounds, which means we now have to make sure that there is a 10, for example, if that is possible and we can expand this fraction to say 10.
bruch in kommazahl umwandeln bruch in dezimalzahl umwandeln im kopf
We can expand it with two, so 5 x 2 is now visible and we can do it ourselves at the top, so give us twice, calculate twice. 2004 and since we have our ten at the bottom and now we can easily convert it like before so a decimal place should be made from 04 so move the decimal point and then we will end up with 0.4 so if we do There is, There is no ten at the bottom yet, we have to make one. If we can, we get a 10 behind the four. We go from four with some number to 10 x 28 x 3 that would be on top.
That doesn't work so we look at 100 com with a 4 4 x 25 is 100, so with a century it works, we have to do the same above, so we calculate 25 three times 25 is 75 and we are already in hundredths and I can convert that and also We write down the 75 and make sure there are two decimals like 12 and then zero, so the principle is repeated and it can also be done with an 8. I can't get the eight either. . I can't get eight to 100, nor is 100 divided by eight. You just have to remember that with eight you have to reach 1000 and the best thing is to remember the number, which is 1000 divided by eight, that would be 125, which comes up relatively frequently.
The number probably has that too. We have already seen that we have to work with the eight with the 125. We have to do it ourselves at the top, so we can also calculate 125. 3 x 125 is 375 and now we can convert the 375, we write it down. We need a time with three decimal places, so it jumps like we once did three there it comes at least and our turn there is something like that, yeah, that's a different variant. now we can see that we are relatively high, there are still 200 here, now you can say, okay, 200, I can take it to 1000, that's it, no problem, I calculate by five, you can do that, no problem, it's about the same number, but you can also see if you can go down again.
I can go from 200 to 100, so I can shorten it. I just divide it by two and then I get 100, so the smaller the number, the nicer it is and of course, we have to do it there, so we calculate times two 48 times two while 24 and then I get both yeah, so where do I get 24? I write, I need two decimals like 1, 2 and 0. Let's try 1000 just for fun, then that will extrapolate to 1000 with x 5. The robes have to do the same 48, so five times 40 would be 200 and then five times eight would be 40, so 240 and lo and behold, we would write 240 in there and create three. decimals, so 13 comes before and now you can compare, it's the same as after the decimal point.
You can also simply omit the zero, so there are several ways, there is not always only one possible, as is often the case. Here we are already at 300. This time, by the way, we can't get to 1000 with the extrapolation, so let's see if we can get to 100, so calculate by three if that also fits up by 3 12 34. and then we can convert it well . I think now it could be two decimals, so 12 we have to fill it with a zero, we have to fill it with a zero and then we have our decimal number, what else is there? , now we come to what is unfortunately a little more difficult.
They are not so kind to us because from 3 we cannot reach 10. Nor can we reach 100 or 1000 or higher powers. out of ten We just can't get there, that's why you can't expand this number to be able to use this trick, which is what we just did, such numbers and there are some of them that you have to divide in the classic way, so calculate 1 by three, you have to divide 1 by three. There's no way to avoid it. From 1 to 3 we calculate 13 doesn't work at all, so 00 x 3 now we subtract from 101, now we subtract 0 from the top. down that means we have to put it in a comma and now divide it by three like ten the three pastes three times in 3 x 3 is 9 subtracted one is left pull down a zero 10 to three is 33 times calculate back is 9 1 from the drop down menu 10:00, you notice that it repeats itself, so now the same numbers are here all the time, here it would be the Solo continues with a 3 all the time and we are already in the newspapers.
You will notice that you don't stop, it just goes on forever. If you notice that it has a structure, then you can stop and just write the result here, that is, the numbers that are repeated here. There is only one line that goes through three, the only number that repeats. here all the time, then here comes this line above that says that the three is repeated, the point three is spoken like this 0,3 or 3 and there are also other numbers that, for example, we simply have to remember six, which is not can be expanded to 10 100 1000, but we simply have to divide 5 by six in the classic way and not add 50 6, so calculating 0 x again would be 0 x 60, then subtract five.
Let's pull the zero down, there's the first one. , put the decimal point there 50 6 is 88 96 is 48 20 pull down 20 63 3 618 remainder 20 down 10 you can see that 20 repeats up to six, that's 33. Calculate back is 18 and repeats again so a latest we see that the 20 here keeps coming back so the three here will continue all the time we write it in 0.8 and only the three repeats that's why we write the three with the line above so keep looking at the repeating numbers there it's a dash and I have an example for you. Even with 11 we don't get to 10 or 100 and so on, that's why we have to divide 6 by eleven in writing, that's why we can't calculate 60 backwards, put the decimal point 60 11 would be 55 x 11 subtract 55 now subtract 50 up to eleven years 44 44 then I only have six left below 10 the five times that fit in 5 x 11 are 55 subtract and add 0 it's okay to repeat 50 up to eleven slowly There are four companies 1144 and now at the latest we see the beginning of how it is repeated .
The five and the four will always repeat themselves here and that's why we simply write something, the five and the four go together, they repeat. themselves all the time then comes the dotted line because they both repeat themselves and that's how it all works so I hope it helped you feel free to write me kind comments and otherwise be kind to each other it's Well.

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