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fill on the table with whole numbers to write 0.25 in different ways so one way to look at it is just this 2 and 0.25 is in the tenths place so it literally represents two tenths while the 5 is in the hundredths place so it literally represents five hundredths so that's one way to represent it but then we can start to rearrange value amongst these two place values for example what happens if we only have one tenth then how many hundredths would we have to have well one tenth is ten hundredths so if we take the ten hundredths that we took away from here and give it to the hundreds place you're going to have 15 hundredths and you could verify that one tenth plus 15 hundredths is equal to 25 hundredths or another way you could say it is 10 hundredths plus 15 hundredths is equal to 25 hundreds now another way you could do it you could have no tents and view it as all hundredths as all hundreds because two tenths is the same thing as 20 hundredths so 20 hundredths plus five hundredths is 25 hundredths let's do a few more of these these are a lot of fun fill in the table with whole numbers to write 20.1 in different ways so here the table the two columns are tens and tens so I guess the assumption is is we're not going to give anything to the ones place here and in the original example we didn't have anything in the ones place either so we could write the the two in the tens place is literally two tens and the one in the tens place is it literally 1/10 but let's think about what happens is we regroup value from the tens place to the tenths place so if we only have 1/10 then we have another 10 to play with that we have to express in terms of tenths so 10 is well it's clearly that 1/10 is the same thing as ten ones which is the same thing as 100 tenths so we're essentially giving a hundred tenths notice we have we have an extra 10 to play with ten value that is the same thing as a hundred hundred over ten or hundred tenths and we already had one tenths so 100 tenths plus 1/10 is going to be 101 tenths and it was really confusing we have tens and tenths so now let's go again what happens if we take all the value in the tens place so now we have two tens or 20 to play with well 20 is how many tenths well you have ten tenths per one so 20 is two hundred tenths and so you take the two hundred tents that you took out of the tens place add to the 1/10 and you have two hundred and one tenths let's do one more example so let's write two point one and three different ways so here it's between the one and the tenths place so we could write it as two ones and 1/10 we could also write it as one one and now we've seen this game before we have one extra one to play with so that's going to be ten tenths plus the 1/10 that was already there gives us 11 tenths or if we have no ones well two point one is the same thing as 21 tenths the two represents literally 20 tenths and then you have the 1/10 so 20 tenths plus 1/10 is 21 10