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### Course: 5th grade > Unit 1

Lesson 4: Decimals in written form# Decimals in written form (hundredths)

To write a decimal in word form, start by writing out the whole number portion. Next, express the decimal portion as a fraction of hundredths. For clarity, it's often helpful to simplify multiple terms (such as "one tenth and five hundredths") into a single fraction (such as "fifteen hundredths"). Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

- whats a good way to rember to go like 10 over 100 after the decimal?

(77 votes)- I always remember by thinking of everything to the right of the decimal as the same thing as the normal place values, except skipping the "ones" place and going in the other direction.(16 votes)

- is it only me or is it been 11 years since this vid came out(16 votes)
- Nope, not you :)

Some of these videos are very old :)(12 votes)

- when the guy wrote 63.15 in word form, he said: sixty-three and fifteen hundredths. Though I'm not saying he's wrong or anything, but instead of saying "and" do you say "point"? So sixty-three point fifteen hundredths?(12 votes)
- I say point but my teacher said say and(15 votes)

- I need help on dividing decimals and fractions.(12 votes)
- Well, I know how to divide fractions. With practice it is simple!

Here is an example:

5/6 divided by 2/5

First, you have to flip the second fraction. So now the second fraction is 5/2 ( which by the way is a improper fraction). Now you turn the division sign into a multiplication sign. So now the equation is 5/6 times 5/2. And now you just multiply the fractions like any other problem and BOOM! you got it. By the way the answer is 25/12 or, simplified, 2 1/12(0 votes)

- How would you say .3333 repeated? Would you just round it to .33?(6 votes)
- I can't type it out so I created a program to show you

https://www.khanacademy.org/cs/how-to-write-a-repeating-decimal/5633092141187072(11 votes)

- whats sal's favorite animal(5 votes)
- We're asked to write this right here in word form, and I'm not saying it out loud because that would give the answer away. We have 63.15 that we want to write in word form. Well, the stuff to the left of the decimal point is pretty straightforward. Let me actually color code it. So we have 6, 3. Let me do it all in different colors. And then we have a decimal, and then we have a 1 and a 5. There's one common way of doing this, but we'll talk about the different ways you could express this as a word. But we know how to write this stuff to the left. This is pretty straightforward. This is just sixty-three. Let me write that down. So this is sixty-three. And instead of the decimal, we'll write, and. Now there's two ways to go here. We could say, and one tenth and five hundredths, or we could just say, look, this is fifteen hundredths. One tenth is ten hundredths. So one tenth and five hundredths is fifteen hundredths. So maybe I can write it like this: sixty-three and fifteen hundredths. Just like that. Now, it might have been a little bit more natural to say, how come I don't say one tenth and then five hundredths? And you could, but that would just make it a little bit harder for someone's brain to process it when you say it. So it could have been sixty-three-- so let me copy and paste that. It could be sixty-three and, and then you would write, one tenth for this digit right there, and five hundredths. Sixty-three and one tenth and five hundredths is hard for most people's brains to process. But if you say, fifteen hundredths, people get what you're saying. Not to beat a dead horse, but this right here, this is 1/10 right here and then this is 5/100, 5 over 100. But if you were to add these two, If you were to add 1/10 plus 5/100 -- so let's do that. If you were to add 1/10 plus 5/100, how would you do it? You need a common denominator. 100 is divisible by both 10 and 100, so multiply both the numerator and denominator of this character by 10. You get 10 on the top and 100 on the bottom. 1/10 is the same thing as 10 over 100. 10/100 plus 5/100 is equal to 15 over 100, so this piece right here is equal to 15/100. And that's why we say sixty-three and fifteen hundredths.(5 votes)
- is it also mathematically correct if i were to say "sixty-three point one five"? since it's also how we say it in chinese maths :] just wanted to know if it was the same for english.(3 votes)
- Yes because point one five is still a decimal.Many people use it.(3 votes)

- [Instructor] What we're going to do in this video is refresh our understanding of place value but we're going to dig a little bit deeper and think about place value in the context of decimals. So just as a refresher if I have the number 973, this should be review for you. We already know that this rightmost space right over here, this is the ones place and if we move one space to the left of that, this is the tens place. Notice we went from ones to tens, tens are ten times as much as ones. And then we move one space to the left of that, we go to the we multiply by tens again. We get to the hundreds space and so this nine doesn't just represent nine, it represents nine hundred or we could write that as 900. Similarly the seven doesn't just represent seven, it represents seven tens or 70. This three represents three ones, so it actually does represent three. But as I promised we're now going to extend our understanding and what we do is we put a decimal here which you've probably seen before at the right and the reason why we even need a decimal is to really tell us where our ones place is. We say okay if we go right to the left of the decimal that's going to be our one space because once we start introducing decimals we can introduce as many spaces as we want to the right of the decimal. And so let's think about those a little bit. If when we went from hundreds to tens, notice we divided by ten, when we go from tens to ones, notice you divide by ten. So what do you think this place over here is going to be called? Well what happens if you take one divided by ten? Well then you get a tenth so as you might imagine this is the tenths place. And then if you were to go one place to the right of that, what would this place be? Well it'd be tenths divided by ten or 1/10 of a tenth, so this would be a hundredth, hundredths place. And then if you were to go one space to the right we could keep doing this forever, but if we were to go one space to the right of that, what would it be? Well a hundredth divided by ten or 1/10 of a hundredth is a thousandth, thousandth space. And so for example if I were to extend this number instead of if just being 973, if I were to write 973.526, what do these numbers these digits represent? This five doesn't just represent five, it represents five tenths or another way of writing five tenths you could write it like this 0.5 you just have a five in the tenths place. Or you could write it as five tenths. This two I think you get where this is going, this doesn't just represent two, it represents two hundredths I'm just going to make it very explicit in this video, so it's very clear two hundredths. Another way to write that is you just write a two in the hundredths place. So we're going one two spaces to the right of the decimal or you could write it as two over 100, two hundredths. And so for kicks, pause the video what are all the different ways of representing this six? What does this six represent? Well this is six thousandths, six thousandths, thousandths, there you go. I could also write that as zero point, let's see it's the tenths place, hundredths place, and then in the thousandths place I have six or I could write this as six over 1000, six thousandths. So big picture place value we can keep going to the right of the decimal and we can start representing things that are I guess you could say more precise.(5 votes)
- how do you have time to do that(0 votes)

- do you want free chicken nuggets(5 votes)
- yes iwant chicken nuggets dino nuggies raaaaaaaaarrrrrrrrrrrrrr im crazy kid(0 votes)

## Video transcript

We're asked to write this right
here in word form, and I'm not saying it out loud
because that would give the answer away. We have 63.15 that we want
to write in word form. Well, the stuff to the left of
the decimal point is pretty straightforward. Let me actually color code it. So we have 6, 3. Let me do it all in
different colors. And then we have a decimal, and
then we have a 1 and a 5. There's one common way of doing
this, but we'll talk about the different ways you
could express this as a word. But we know how to write
this stuff to the left. This is pretty straightforward. This is just sixty-three. Let me write that down. So this is sixty-three. And instead of the decimal,
we'll write, and. Now there's two ways
to go here. We could say, and one tenth
and five hundredths, or we could just say, look, this
is fifteen hundredths. One tenth is ten hundredths. So one tenth and five hundredths
is fifteen hundredths. So maybe I can write it like
this: sixty-three and fifteen hundredths. Just like that. Now, it might have been a little
bit more natural to say, how come I don't say
one tenth and then five hundredths? And you could, but that would
just make it a little bit harder for someone's brain to
process it when you say it. So it could have been
sixty-three-- so let me copy and paste that. It could be sixty-three and, and
then you would write, one tenth for this digit right
there, and five hundredths. Sixty-three and one tenth and
five hundredths is hard for most people's brains
to process. But if you say, fifteen
hundredths, people get what you're saying. Not to beat a dead horse, but
this right here, this is 1/10 right here and then this
is 5/100, 5 over 100. But if you were to add these
two, If you were to add 1/10 plus 5/100 -- so
let's do that. If you were to add 1/10 plus
5/100, how would you do it? You need a common denominator. 100 is divisible by both 10 and
100, so multiply both the numerator and denominator
of this character by 10. You get 10 on the top and
100 on the bottom. 1/10 is the same thing
as 10 over 100. 10/100 plus 5/100 is equal to
15 over 100, so this piece right here is equal to 15/100. And that's why we say
sixty-three and fifteen hundredths.