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Video transcript

let's say that I had the number 0.17 how could I say this number I said it one way I said 0.17 but what are other ways that I could say it especially if I wanted to express it in terms of tenths or hundredths or other places and like always try to pause the video and try to think about it on your own alright so there's actually a couple of ways that we could we could say this number one is just to say zero point one seven other ways or to say look I have a 1 in the tenths place so that's going to be 1/10 1/10 and 1/10 and I have a 7 in the hundredths place so this is a 7 right over here in the hundreds place so I could say one tenth and seven hundredths hun on Dritz and there you go that's one way to say this number now another way to think about it is just say the whole thing in terms of hundredths so 1/10 is how many hundredths well a tenth is the same thing as 10 hundredths so you could say you could say instead of 1/10 you could say this is 10 hundredths and the way I'm writing it right now very few people would actually do it this way 10 hundredths and and seven hundredths and seven hundredths well now I could just add these hundreds if I have ten hundredths and have another seven hundredths that's going to be 17 hundredths so I could just write this down as 17 hundreds hundreds and to make that intuition of how we could just call the 1700s instead of just calling it 1/10 and seven hundredths let's actually count by hundredths so that is one hundredth that is two hundred and actually let me just go straight to nine hundredths so I've skipped a bunch right over here and what would be the next how would I say ten hundredths well 10 hundredths let me write this way 10 hundredths is the same thing as 1/10 so if we go from 9 hundredths the next if I'm counting by hundredths the next one's going to be 10 hundredths now once again 10 hundredths is the same thing as 1/10 this the same way that 10 ones is the same thing as 1/10 I hope that doesn't confuse you but we could keep counting 10 hundredths 1,100 1,200 1,300 1,400 1,500 1,600 and then finally 17 hundredths so hopefully that gives you a little intuition for why we can call this number instead of just calling it zero point one seven or one tenth and seven hundredths we could call this 17 hundredths so with that other way let's do a couple of examples going the other way let's say we're given a name of a number or the words and we want to write it down as a decimal so this is four tens and three hundredths all right so four tens so the for tens right over here so actually let me just put some places over here so this would be if this is our tens place and then this is our ones place and then you're going to have your decimal and then you're going to have your tenths place tenths place and then you're going to have and I'll do this in a different color your hundredths place Hunn under its place so we're going to have four tens not tenths four tens so four tens zero ones zero once we got our decimal they don't have any tenths over here so zero tenths and then we have three hundredths three hundredths so three hundredths so four tens which is the same thing as forty and three hundredths right over here so forty point zero three let's do another one of these this is kind of fun so we have 24 hundredths 24 hundredths so by the logic that we saw in first one in the first one we could just write this as remember this would be nine hundredths and if we want more one more hundredths this would be ten hundredths so if we want to do 24 hundredths it would just be zero point two four and if you're saying well wait this looks like two tenths and four hundredths you'd be right but remember so actually let me I could rewrite this as I could rewrite this as to two tenths two tenths and four hundredths let me say and four hundredths unn drifts but remember a tenth is equal to ten hundredths so two tenths is the same thing as 20 hundredths hundredths I have trouble saying it so this is same thing as 20 hundredths and four hundredths and four let me write it neatly four hundredths and of course 20 hundredths and 400s is the same thing as 24 hundredths so hopefully that makes sense