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State of Illinois Illinois Emergency Management Agency  Division of Nuclear Safety LASER REGISTRATION ILLINOIS EMERGENCY MANAGEMENT AGENCY DIVISION OF NUCLEAR SAFETY 1035 OUTER PARK DR SPRINGFIELD,
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Write 14,897 in expanded form.Let me just rewrite the number, and I'll color codeit, and that way, we can keep track of our digits.So we have 14,000.I don't have to write it well, let mewrite it that big.14,000, 800, and 97 I already used the blue; maybe Ishould use yellow in expanded form.So let's think about what place each ofthese 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 seethis 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 tenthousands place.And you see, every time you move to the left, you move oneplace to the left, you're multiplying by 10.Ones place, tens place, hundreds place, thousandsplace, tenthousands place.Now let's think about what that really means.If this 1 is in the tenthousands place, thatmeans that it literally represents I want to do thisin 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 itrepresents 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 arrowsdon'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 waysto think about it.It represents all of these things: 9 tens, or 9times 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 times100 a hundred, not a thousand 8times 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 4times 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 thetenthousands place, so it literally represents 1tenthousand.You can imagine if these were chips, kind of poker chips,that would represent one of the blue poker chips and eachblue poker chip represents 10,000.I don't know if that helps you or not.And 1 tenthousand is the same thing as 1 times 10,000 whichis the same thing as 10,000.So when they ask us to write it in expanded form, we couldwrite 14,897 literally as the sum of these numbers, of itscomponents, or we could write it as thesum of these...
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