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### Course: Class 7 (Foundation) > Unit 6

Lesson 1: Fractions as decimals# Writing decimals and fractions shown on number lines

Sal writes decimal numbers and fractions greater than 1 shown on number lines. Decimals are limited to tenths and hundredths.

## Want to join the conversation?

- How would u know what side its coming from?(17 votes)
- The right is bigger and the left is smaller. It just depends on how the number line is made.

I hope this helps!!(21 votes)

- This is crazy, I wish I would just KNOW all of this... but I hope I get way way way better at it!😔🙂(17 votes)
- you will one day we all way i belive in you 28alkow01(1 vote)

- Why is it that sometimes it the questions on the numberline have something like 0.04 for the tens and sometimes 0.4?(5 votes)
- Well, 0.04 and 0.4 are two different numbers. It all depends on the placement.

I think you may have meant 0.40 and 0.4. Those are equivalent (the same). You can delete the zeros on the right of the decimal in 0.40 and it comes out to 0.4- it's the same thing because the 4 is still in the tenths place no matter what.(10 votes)

- i see what you did but is there by chance an easier way of doing this? i think that it is still a litlle tricky(5 votes)
- why not see this as 42/100 or.42?

in earlier exercises it was assumed with 10x10 or ten points every 10 marks it counted as a total of 100. Now it doesnt. this seemingly arbitrary change can lead to a failing the question.(4 votes) - ok rewatching, it I don't get it at1:00minute is were it got all coufusing can some one please help me out(5 votes)
- bro what da heck it is so easy(0 votes)

- at1:00minute it got confusing. can some one help me?(3 votes)
- at1:00it changed from tenths to hundredths which is 1/10 of a tenth(2 votes)

- yay sal is back(3 votes)
- how do you know if it is 22? or 20/100?(3 votes)
- It won't tell you until you calculated it. 20/100 would be easy to guess because you can add as many 0's as you want at the end of the decimal numbers and you can tell if it's 22 by looking at where the line is in the numberline. The line in the vid is 2 spaces away from 3.2 so 20+2= 22 so you can tell if its 22 or 20 that way

Hope this helps!!(1 vote)

- this is so confusing how does this even work(2 votes)

## Video transcript

- [Instructor] We're
told express 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, 10 equal sections. So each of these hash marks
represent an extra tenth. So this is four, then this
is four and one tenth, and now this is four 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 as both a fraction and a decimal, but this one's a little bit different. Let's see how you can, if you can identify how it is different and
answer the question. So pause this video, and
once again have a go at it. All right, so here, our point, it's not between two whole numbers. It's actually between two tenths. We're between three and two tenths and three and three tenths. So this is between three and two 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 three and two tenths as
three and 20 hundredths. And you could view three and three tenths as three and 30 hundredths. And so this is three and 20 hundredths. This is three and 21 hundredths,
three and 22 hundredths. So this point right over here
is three and 22 hundredths, 22 hundredths, and of
course, you could also write that as a mixed number. That is three and 22 over 100. Now another way that you
could've approached it is hey, I'm starting at 3.2 or
three and two tenths, and so I'm starting here at 3.2. And then I'm going to add to
that, not just one hundredth, 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.