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Comparing place values

Video transcript

we have the number forty 3249 and what I want you to think about is what these two fours actually represent and how much more value is represented by this first four this four on the left then this four on the right and I encourage you to pause this video and think about that so let's just think about what each of these digits represent so the nine is in the ones place so it literally represents nine ones the furthest four on the right I should say is in the tens place so it literally represents four tens or four times ten or forty this 2 is in the hundreds place so literally represents to hundreds or 200 this 3 is in the thousands place so it represents three thousands and then the four on the left is in the ten thousands place ten thousands place so literally represents four times ten thousand or four ten thousands or forty forty thousand so let's actually compare the value that we're getting here versus here so what's the dictionary in forty thousand and forty well forty thousand has four zeros while forty only has one so if you wanted to go from 40 to forty thousand you would have to add three more zeros and we already know how to do that you could add three more zeros by multiplying multiplying by a thousand so forty thousand is equal to one thousand times 40 or we could say the four on the left here this blue circled four represents four to represent the blue circled four represents one thousand times the value as the yellow circled for now another way of thinking about it is every time you move place values to the left as you see here this is tens hundreds thousands ten thousands you're increasing what those place values represent by a factor of 10 so you're going if you're going from this four to this four times ten times ten times ten you multiply by ten the place value and you see that with the place values right over here the place value is increased by a factor of ten each time so if you're going from this place to this place and you have the exact same digit they're multiplying by ten three times is the same thing as multiplying by a thousand so whatever this represents multiply it by a thousand and you're going to get what this represents