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Current time:0:00Total duration:2:43

Writing decimals and fractions shown on number lines

CCSS.Math:

Video transcript

we're told expressed the point on the number line as both a fraction and a decimal so pause this video and have a go at that all right now let's do this together so we can see that the point in question it's at a higher value than four and it's less than five so greater than four less than five and the space between four and five is divided into one two three four five six seven eight nine ten equal sections so each of these hash marks represent an extra tenth so this is four then this is 4 and 1/10 and now this is 4 right over here and two tenths so we could write this if we wanted to write it as a fraction or as a mixed number this would be four and two tenths and if we wanted to write that as a decimal that would be four and then in the tenths place well we have two tenths and that's it we're done let's do another example so here we're once again asked to express the point on the number line is both a fraction and a decimal but this one's a little bit different but see how you if you can identify how it is different and and answer the question so pause this video and once again have a go at it alright so here our point it's not between two whole numbers it's actually between two tenths where between 3 & 2 tenths and three and three tenths so this is between 3 & 2 tenths and three and three tenths so each of these hash marks which are a tenth of a tenth so they would actually be a hundredth so one way to think about it you could view 3.2 or 3 and 2 tenths as 3 and 20 hundredths and you could view 3 & 3 tenths as 3 and 30 hundredths and so this is 3 and 20 hundredths this is 23 and 21 hundredths three and twenty two hundredths so this point right over here is 3 and 22 hundreds 22 hundreds and of course you could also write that as a mixed number that is 3 and 22 over 100 now another way that you could have approached it is hey I'm starting at three point two or three and two tenths and I'm so I'm starting here at three point two and then I'm going to add to that not just one hundredths but two hundredths so it would be three two tenths and then two hundredths and there you have it we've expressed it as both a fraction and a decimal