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What's up everyone how's it hanging today guys we're going to talk about expanded form so let's go over and take a look at a few numbers to learn what expanded form is okay guys I want you to imagine in your mind what a slinky look like a slinky is a toy that starts out small but can expand and stretch out expanded form is a lot like a slinky it's taking the number and pulling apart all of its digits so that we can find out the value here is the number 358 this number is in standard form if we were asked to put this number in expanded form the first thing we need to know is how much are each of these digits worth the three in this number is in the hundreds place, so the three is worth three hundred now we have the five in this number is worth fifty because it is in the tens place the eight in this number is only worth eight because it is in the ones place so if we were to write the number 358 in expanded form we would have three hundred plus 50 plus eight just like a slinky that we pull apart this number is stretched out in expanded form when you stretch out a slinky and let it go what does it do it shrinks back together let's do that with this number now we have the number back in standard form, and it looks just like a slinky that is not stretched out isn't that awesome let's look at another example here we have the number 417 so how much is the four worth in this number the four is in the hundreds place, so we have four hundred how much is the one worth the one is in the tens place, so it is worth ten how much is the seven worth in this number the seven is in the ones place we know it is only worth seven now just like that slinky being stretched out we now have the number 417 in expanded form it is stretched out to show us what the values of each of these digits are, but we cannot forget to put our plus signs in when you are writing the numbers in expanded form you need to remember the addition signs to make the math statement correct let's move to this board and look at another number let's see if you guys can help me figure out how to write the numbers in expanded form here we can see the number 324 in standard form we need to write this number in expanded form let's start by looking at the 3 how much is the 3 worth in this number 300 because it is in the hundreds place, so we would write down 300 now let's not forget to write down the plus sign now we have the 2 what is the value of the 220 since the 2 is in the tens place could job guys, so we write down the 20 and put down the addition sign last of all we have the 4 what is the 4 worth in this number since the 4 is in the ones place it is worth 4 so the number 324 written in expanded form is 300 plus 20 plus 4 we can also write this math sentence vertically let's take a look at what it would look like here we see the same expanded form differently if you were to add all these numbers together you would get 324 isn't that awesome guys whenever you are asked to write expanded form I want...
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