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# Relating decimals and fractions in words

CCSS.Math:

## Video transcript

we are told to write seven hundredths as a fraction and a decimal why don't you get some paper and a pencil out and see if you can do that before we do it together all right so let's do it first as a fraction so what is going to be the denominator of our fraction if they're saying seven hundredths and the way I'm saying it is a little bit of a hint seven hundredths well I think you've got the picture we're dealing with hundredths so our denominator is going to be one hundred and then how many hundredths do we have well we have seven of them I'll do that in a different color just to be clear we have seven of those hundredths so there you have it seven hundredths that's this expressed as a fraction now what about as a decimal well we could think about our decimal places if let's say that this is the ones place and I'm just putting a little blank here so it's ones place and you have a decimal right over here and then this would be the tenths place and then this would be the hundredths place well we have we want to represent seven hundredths so let me be clear this right over here is ones this is tenths and this is hundredths I like say it's unusually fun to say that hundredths all right one's tenths hundredths so how many ones do we have here well we have no ones we have zero ones how many tens do we have here well we have no tents how many hundreds do we have well we have seven hundreds okay now it's getting annoying we have seven hundredths so you could write it that way as well and if I wanted to just write it a little bit cleaner I could just write no ones no tents and seven hundredths I said it the last time like a like a normal person let's do another example here where is told select the written form of each number and so they on the Left right over here you have different representations here we have things written as a decimal fraction another decimal and then we want to say hey which of these are represented in were or a combination of numbers and words up here so pause this video and half ago at this as well okay so this first number right over here we have no ones and then as we go one space to the right of the decimal this is the tenths place and it's clear we have four of those tenths so this right over here is four tenths so that is this choice right here so we would I'll shade it in if you're doing this on Khan Academy you would just click there and it would fill in so what about this one well this one we would read you have four out of ten or four tenths so this again would be four tenths so we would shade that one in now what's going on over here we have no ones we have no tenths we have four hundredths I said it again it's too much fun so we have four hundredths so that's this column so we would fill that one in and we're done