Write 14,897 in expanded form. Let me just rewrite the number,

and I’ll color code it, and that way, we can keep

track of our digits. So we have 14,000. I don’t have to write

it– well, let me write it that big. 14,000, 800, and 97– I already

used the blue; maybe I should use yellow–

in expanded form. So let’s think about

what place each of these digits are in. This right here, the 7,

is in the ones place. The 9 is in the tens place. This literally represents 9

tens, and we’re going to see this in a second. This literally represents

7 ones. The 8 is in the hundreds

place. The 4 is in the thousands

place. It literally represents 4,000. And then the 1 is in the

ten-thousands place. And you see, every time you move

to the left, you move one place to the left, you’re

multiplying by 10. Ones place, tens place, hundreds

place, thousands place, ten-thousands place. Now let’s think about what

that really means. If this 1 is in the

ten-thousands place, that means that it literally

represents– I want to do this in a way that my arrows

don’t get mixed up. Actually, let me start

at the other end. Let me start with what

the 7 represents. The 7 literally represents

7 ones. Or another way to think about

it, you could say it represents 7 times 1. All of these are equivalent. They represent 7 ones. Now let’s think about the 9. That’s why I’m doing it from the

right, so that the arrows don’t have to cross

each other. So what does the 9 represent? It represents 9 tens. You could literally imagine

you have 9 actual tens. You could have a 10, plus

a 10, plus a 10. Do that nine times. That’s literally what it

represents: 9 actual tens. 9 tens, or you could say it’s

the same thing as 9 times 10, or 90, either way you want

to think about it. So let me write all

the different ways to think about it. It represents all of these

things: 9 tens, or 9 times 10, or 90. So then we have our 8. Our 8 represents– we see it’s

in the hundreds place. It represents 8 hundreds. Or you could view that as being

equivalent to 8 times 100– a hundred, not

a thousand– 8 times 100, or 800. That 8 literally represents

8 hundreds, 800. And then the 4. I think you get the idea here. This represents the

thousands place. It represents 4 thousands, which

is the same thing as 4 times 1,000, which is the

same thing as 4,000. 4,000 is the same thing

as 4 thousands. Add it up. And then finally, we have this

1, which is sitting in the ten-thousands place, so it

literally represents 1 ten-thousand. You can imagine if these were

chips, kind of poker chips, that would represent one of the

blue poker chips and each blue poker chip represents

10,000. I don’t know if that

helps you or not. And 1 ten-thousand is the same

thing as 1 times 10,000 which is the same thing as 10,000. So when they ask us to write it

in expanded form, we could write 14,897 literally as the

sum of these numbers, of its components, or we could

write it as the sum of these numbers. Actually, let me write this. This top 7 times 1 is

just equal to 7. So 14,897 is the same thing as

10,000 plus 4,000 plus 800 plus 90 plus 7. So you could consider this

expanded form, or you could use this version of it, or you

could say this the same thing as 1 times 10,000, depending on

what people consider to be expanded form– plus 4 times

1,000 plus 8 times 100 plus 9 times 10 plus 7 times 1. I’ll scroll to the right

a little bit. So either of these could be

considered expanded form.

Thank you

I'm finally learning

my brain has ALU

Thx

Please help. Write the digit in the thousands place and the digit in the tens place for the given place value. 7354

The IDEA is this:

we are faced with a bunch of unorganized match sticks

we put ten match sticks in a bundle and give it a name: ten.

we bind ten such bundles into a larger bundle and give it a name: hundred.

we bind then ten such larger bundles into a even larger bundle and give it a name: thousand.

binding like this, when all match sticks are used up, we find that we have 7 "thousand" bundles (largest bundles), 5 "hundred" bundles, 3 "ten" bundles, and 6 match sticks left alone unbundled.

when more than seven thousand match sticks are in an unorganized bunch, we really can't tell how many are there. Because we are trying to think how many one's we've got. Such a large number exceeded the brain's ability. But the same number of match sticks are organized into groups as mentioned below, it's much easier for the brain to grasp hold of how many are there.

So ppl learned to consider things as groups, imagine we have 7 large bundles of match sticks, each bundle is exactly one thousand match sticks, and we have 5 smaller bundles of match sticks, each containing exactly one hundred match sticks, and we have 3 even smaller bundles of match sticks, each containing ten match sticks, and we have 6 match sticks left over. Now it's much easier to get grasp of "how many" match sticks we have, than the 7000 or so messed up in a bunch.

We organize. We organized large numbers, actually, starting from numbers more than ten, as a habit. Once all the one's are organized into groups, it's much easier for us to imagine how many are there, and much easier for us to record using this place value method, the place representing what kind of a big bundle this digit is representing, and the digit itself tells us how many such big bundles are there.

Some of the most basic yet brilliant ideas has its historical origins, understanding these origins do help us a lot in getting grasp of these ideas. The place value method I suspect owe its origin to mankind trying to count large numbers.

I like decimals

I love These Vids They Are great xx

Hey thx!

do them with 10 exponents

Hi I am at school

Hi janice

Hi Stephanie

What is 103,727,495 help

In expanded form

#watched

wtf is the 1s place?

isnt it units?

ππ» thank you

do you ever find math is either mind numbingly simple or mind bogglingly impossible?

Or 10 times 9.

thanks.this make me helpfull

math is cool

Of what benefit, WHATSOEVER, is this, in everyday life?! Gedda job!

#watched

Thanks for helping me btw π

And btw you kinda sound like a robot but not making fun of you!

This guys understanding

Thanks

i have kanh academy in my comuter

Thanks for helping me with my homework

WHAT???

I liked it

I had a test this morning on the first day of school I know such a bad teacher and I did the expanded form wrong

Thank you for helping me with my homework

please solve the question in write in expanded form:- 103×97

You did not mention or do nothing about written form.

What type of website do you use to write?

This helps me really good

μ§μ§ μΈλ°μμ΄ μ€λκ±Έλ¦°λ€. κ°λ¨νκ² ν΅μ¬λ§ μ€λͺ νλ©΄ λλλ° λ μ€λͺ λΆμ¬κ°μ§κ³ μ λ€μ΄ λ μ΄ν΄νκΈ° μ΄λ ΅κ³ νλ€λ―

His voice makes math easy.

thnx

Good video

Thank you

μ¬μ΄κ±Έ μ΄λ κ² μ΄λ ΅κ² μ€λͺ νλκ²λ μ¬λ₯μΈλ―

Omg… thank u!!

I did not know that like wut Iβm trying to say is like I did not know it was like expanded form

But now I know

how does this channel have 4 million subs

Thanks sir

nice video :O

Nice explanation mam …..thanks a lot…#SaurabhAnupamSahu

#youcanlearnanything

Thanks

I'm going to have to have a debate over you too because you two are both another favorite of number helpers for me I've known expanded form now I know standard form word form and number form thank you so much for everything you have done for me and your my life keys I'm pretty sure that you're going to win my debate thank you again πππππππππππππππππππππππππππππππππππππππππππππ πππππππππππππ€ππππππππ

Thanks a lot for th e help Mr.ππ

it latterly says 14,897 and its already in expanded form XD

I Was doing my homework and watching this idk if i like it or not