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Current time:0:00Total duration:5:07

Video transcript

so I have six different fractions written out here what I want you to do is pause this video right now and try to rewrite each of these fractions as a decimal so I'm assuming you've given a go at it so let's go through each of these so we know that when we say 34 tenths or 34 over 10 that this could be interpreted literally as 34 34 divided by 10 and so if you start with 34 let me put a little decimal right over here to be clear that there is an implied decimal there so we could just keep adding zeroes if we want so when we divide by 10 we're going to move the decimal one space over to the left and you should always do a reality check if you forget hey do I move it over to the left or do it or do I do it over to the right you should do a reality check look if I'm dividing by 10 should I get a smaller value or a larger value well clearly if you're dividing it into ten groups you should get a smaller value so when you take your decimal place to the left you're gonna get a smaller value 34 is going to become 30 4 is going to become 3.4 and that makes complete sense if you were to multiply 34.4 by 10 you would move the decimal to the right and you would get 234 let's think about this one so this one right over here is 3.4 now let's think about 7/10 so the exact same idea the exact same idea this is equal to this is equal to 7/10 7/10 this fraction like a horizontal line symbol tting could literally be viewed as divided by this could be read as 7/10 so when you divide by 10 you move the decimal one space over one space over to the left so we're gonna get to 0.7 and just to be clear we could write this as 0.7 it's sometimes dangerous to just write the decimal without the zero out front so seven tenths or 7/10 can be re-written as zero point seven now let's try 53 hundredths well we'll start with our 53 once again this could be interpreted as 53 divided by / 100 so there's an implied decimal point right over here now if we're dividing by a hundred that's dividing by ten and then dividing by 10 again this is dividing by 10 times 10 or so we're going to divide by 10 and then we're gonna divide by a hundred so the decimal is going to land right over there so that's going to get us to 0.53 now let's tackle 2 divided by 100 so let's just this once again this could be rewritten as 2 divided by 100 two hundredths is the same thing as 2 divided by 100 if we start with the two put our decimal point right there so we're gonna divide by 10 and we're gonna do that twice so we're gonna divide by 10 once that would be two tenths that puts our decimal there but we have to divide by 10 again you might say hey look there's nothing here well you can just throw a zero on here just so that you do have something there and then you have moved your decimal over by Oh to the left twice and remember every time you're doing it you're dividing by 10 you're dividing by 10 then you're dividing by 10 again dividing by 10 two times that's the same thing as dividing by a hundred because 10 times 10 is a hundred so this is going to be this is going to be zero zero point zero two and we've already seen that if you were to try to read this this two is in the hundredths place so you would literally read this as two hundredths and we see that right over here we've literally represented it as two hundredths right over there two hundredths so now we have 1,000 98/100 well same drill or 1,000 I need hundredths I could say that's the same thing as 1098 divided by a hundred so we could start with 1098 the decimal is implicitly right over here but we need to move it two spaces to the left one two because we're dividing by 100 that gets us to 10 point 9 8 and always do a reality check look it makes sense we got to a significantly smaller value when we divided by a hundred now let's divide nine thousand nine hundred sixty-seven by a thousand well nine thousand nine hundred and sixty-seven decimal point implicitly there now a thousand is 10 times 10 times 10 so if you're dividing by a thousand that's dividing by 10 three times so we're divided by ten once divided by 10 twice divided by 10 three times we get to nine point nine six seven so another way of writing nine thousand nine hundred sixty seven thousands is well that's just going to be nine point nine hundred and sixty-seven or I Clarita this nine and nine hundred and sixty-seven thousandths and that also makes sense I mean you could break this up into nine thousand plus nine hundred and sixty seven and so nine thousand thousands is gonna be nine and then you're gonna be left with the nine hundred sixty seven thousands