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CCSS.Math: ,

let's say I have the number 905 905 point zero seven four so how could I expand this out of what does this actually represent so let's just think about each of the place values here the nine right over here this is in the hundreds place this literally represents nine hundreds so we could rewrite that nine as nine hundreds or let me write it two ways we could write it as nine hundred which is the same thing as nine times 100 now this is zero that's just going to represent zero tens but zero tens is still just zero so we don't have to really worry about that it's not adding any value to our expression or to our number now we have this five this five is in the ones place it literally represents five ones or you could just say it represents five now if we wanted to write it as five ones we could say well that's going to be five times one so so far we've represented 905 900 plus five or nine times 100 plus five times one and you might say hey how do I know whether I should multiply or add first I do this addition before I do this multiplication and I'll always remind you order of operations in this scenario you would do your multiplication before you do your addition so you would multiply your five times one and your nine times 100 before adding these two things together but let's move on you have another zero this is zero is in the tenths place this is telling us the number of tenths we're going to have this is zero ten so it's really not adding much now we were not adding anything now we go to the hut now we go to the hundredths place the hundredths place so this literally represents seven hundredths so we could write this as seven hundredths or seven times one hundredths so plus seven times 100 and then finally we go to the thousandths place so we go to the thousandths place and we have four thousandths so that literally represent for over a thousand or four times a thousand four times a thousandth notice this is coming from the hundreds place this is coming from the hundreds place you have zero tens but I'll write the tens place there just so you see it so it's zero ten so I didn't even bother to write that down then you have your ones place you have five ones then you have zero tenths so I didn't write that down then you have seven hundredths seven hundredths and then you have four thousandths four thousandths so and we are done we've written this out really just understanding what this number represents