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### Course: Get ready for 6th grade > Unit 2

Lesson 8: Dividing decimals- Dividing a decimal by a whole number with fraction models
- Dividing a decimal by a whole number on the number line
- Dividing a decimal by a whole number example
- Divide decimals by whole numbers
- Visually dividing a whole number by a decimal
- Divide whole numbers by decimals

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# Dividing a decimal by a whole number with fraction models

The video explores the concept of dividing decimals by whole numbers. It emphasizes visualizing the process, using the idea of converting tenths to hundredths to make division more intuitive.

## Want to join the conversation?

- i needed to explain to my sister that 0.4 s the same as 0.40 and then she was like, "But 40 is bigger than 4!"

That's 30 minutes I will never get back again.(28 votes)- Have your sister draw a circle, and cut it into 10 pieces, and then shade in 4 slices.

Then have her draw a circle with 100 slices, and shade in 40 slices.

Then ask her which one is bigger or if they are equal in size.

She might then understand then that .4 = 4/10 and .40= 40/100(3 votes)

- can I get votes pls :)(16 votes)
- Would we be able to do it this way?

0.4= 4/10

5=5/1

and then divide normaly?(5 votes)- Yes, you can.

(4 / 10) / (5 / 1) = (4 / 10) * (1 / 5) = (4 / 50) = 0.08(3 votes)

- Does anyone else find this a little confusing? Because how do you know that the "8" is supposed to be in the hundreths??(5 votes)
- so 8 times 5 = 40 and in this instance the

the 4 in the forty is in the tens place

the 0 is in the ones place.

The 8 and 5 are in the ones place.

sooooo

0.40 is like 40 all over again.

The 4 is in the tenths place

The zero is in the hundreths place

S0 the 8 and the 5 are in the hundreths place.(1 vote)

- Why can’t you do it this way?

0.4*10 = 4

5*10 = 50

4/50 = 1/(50/4)

1/(50/4) = 1/12.5

1/12.5 = 8/100

8/100 = 0.08(4 votes) - khan academy is really helpfull(3 votes)
- what is 1345235689 divided by 17885666(3 votes)
- Doing the Long Division I get a quotient of 12.5...

Can anyone explain?(2 votes) - hello I do not know how you can do all this math(2 votes)

## Video transcript

- [Instructor] In this video, we're going to try to figure out what 4/10 divided by five is. So pause this video and see
if you can think about it before we work through it together. We're really going to think
about approaching this visually. All right, now let's work
through this together. Let's actually try to think
about what 4/10 looks like. So if you view this
entire square as a whole, you see that we've divided
it into 10 equal columns or 10 equal sections,
and four of those tenths are shaded in, so what you
see here in blue is 4/10. But how do we divide that into
five and make sense of it? Well, one way to think about it is to imagine 4/10 not just as 4/10, but to imagine it as 40/100, so this would be imagining it as 40/100. So we can re-write 4/10 divided by 5 as 40/100 divided by 5, and now we can think about
taking these 40 hundredths, each of these little
squares is a hundredth, and divide it into five equal sections, and then we can say,
well, how many hundredths are in each of those five equal sections? So let's do that. So let's see, this is one, this is two, this is three, this is four and then we have five equal sections. So how many hundredths are in
each of those equal sections? Well we can see in each of them you have one, two, three, four,
five, six, seven, eight. So 40/100 divided by five is going to be 8/100, because
we have eight of these little squares in each of
those five equal sections. So 8/100 we would like this. And so 40/100 divided by five is 8/100, then 4/10 divided by five
is also equal to 8/100.