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Dividing a decimal by a whole number example

CCSS.Math:

Video transcript

let's see if we can compute what one point eight six divided by two is and like always pause this video and have a go at it and I'll give you a hint see if you could think about one point eight six as a certain number of hundreds and then divide that by two all right now let's work through it together so as promised let's see if we can think of one point eight six is a certain number of hundredths so if we go to the hundredths place we only see six there but we could view eight tenths as 80 hundredths so you could view the 0.86 as 86 hundredths and each one is a hundred hundredths so we really have one hundred and eighty six hundredths so this number right over here I'm going to rewrite as 186 hundredths under its and that is what we need to divide by two now if you're dividing 186 of something by two was just going to be 180 six divided by two of that something so we could rewrite this as 186 divided by two and then that's the number of hundredths this is going to be so I'll put that in parenthesis so it's going to be that many hundreds hundreds all right so what is 186 divided by two some of you might be able to do it in your head some of you might want to might want to use some paper the way what I like to think about it is if I were to take the six ones and divide it by two well that's going to be three ones and then if I were to take the 18 tens and divided by two that's going to be nine tens so that gets us to 93 now you could have also thought about it like this you could have said how many times does 2 go into 186 let's see it doesn't go into one how many times it's go into 18 nine times nine times two is 18 we could subtract and then you have zero you bring down that six to go two six three times three times two is six you subtract and you get no remainder so either way you're going to get 93 and it's 93 what what's 93 hundredths is what we're talking about 93 hundreds and now we what just want to express 93 hundredths as a decimal well how do we do that well that's going to be zero point the 90 hundredths is the same thing as nine tenths and then the three hundredths is of course three hundredths three in the hundredths place so it's zero point nine three and so we could write it up here this is going to be equal to zero point nine three and we're done