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# Writing a number in standard form

## Video transcript

right 645 million five hundred eighty-four thousand four hundred sixty-two in standard form so let's tackle this piece by piece so the first part we have six hundred and forty five million six hundred and forty five million so let's think about that so we have six hundred and forty five six hundred and forty five but it's not just 645 we have 645 millionths so we could view that as 645 times times 1 million 1 million is 1 followed by six zeros so this piece right here is this right over here that is 645 million and what is that when we write it out if we were to multiply this out this is equal to it would be 645 times this one with six zeros behind it so this would be equal to 600 I'll write it like this this is equal to 645 and then we have our six zeros one two three one two three that's just this part of the number and I'm going to do it kind of slow and do it do all of the different parts of the problem but once you get some practice you'll find that these are a bit second nature and you won't have to go through all these steps you'll just be able to write the number now let's move on to the next part we have 584 let me write that down 500 and make sure let me write it like this we have well write like this five hundred and eighty four thousand five hundred and eighty four thousand so let me write the thousand so five hundred eighty four thousand so it's five hundred eighty four times 1000 and what's that going to look at so that that's this whole part right here so 584 times 1000 is equal to what what's going to be 584 with three zeros behind it or we could view it as 580 four times the one and you're gonna have three zeros in the final answer so it's going to be five hundred and eighty four five hundred and eighty four thousand you have our three zeros at the end five eighty four three zero so that's that part and then finally we have 462 462 and that's just 462 straight up but you could view it as 462 ones so then you just have 462 which obviously equals just 462 now our number is all of these combined it is 645 million and 584 thousand and 462 so one way to think about is that you could add these three numbers so if we were to add them if we were to add them we get 645 million 645 million five hundred and eighty four thousand five hundred and eighty four thousand four hundred and sixty to 462 now I said it'll become a little bit of second nature to you in a little bit and the and the way to think about that the easiest way to think about that is millions will have six zeros behind them thousands will have three zeros behind them and just well regular numbers have no zeros behind them so what you can do when you kind of want to learn a second nature you'll just look at the 645 million so you'll write 645 and you'll kind of keep in the back of your mind that you're going to have to have six more digits to the right of this and then you say five hundred and eighty four thousand so then you have your five hundred and eighty four thousand so then you write that down five hundred and eighty four thousand keeping in mind that you're going to need three digits to the right of that and so if they didn't tell us 462 we would just put three zeros here and that would also fulfill the six zeros we need behind 645 million but then they tell us 462 so we just write that right here 462