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around 420 3275 to the nearest thousand to the nearest thousand so let me rewrite it four hundred and twenty three thousand two hundred and seventy five and so the thousands place is the three right here and so if we were to round it up if we were to round it up to the nearest thousand we would go to 420 let me write it so we just focus on the three we would go up to four hundred and twenty-four thousand if we wanted to round up four hundred and twenty four thousand and if we wanted to round down if we rounded down we would go to four hundred and twenty three thousand we would get rid of the 275 423,000 so this is our choice round up to four hundred twenty four thousand or round down to four hundred and twenty three thousand and to figure it out we just look at the digit one one I guess plate one place to the right of the three so we look at the two right there if that digit is 5 or greater you round up so this is five so if this is greater than or equal to five five or greater you round up if it's less than five if it's less than five you round down to is definitely less than five so we just we just round down so it is four hundred and twenty three thousand now just to visualize what this means the nearest thousand if I were to do a number line and you'll have to do this we've gotten the answer but just to have a little bit better visualization of it if I were to increment by thousands you might have four hundred and twenty two thousand four hundred and twenty three thousand you have four hundred four hundred and twenty four thousand and then maybe over here you have four hundred and twenty five thousand and you could keep going now four hundred twenty three thousand two hundred and seventy-five four hundred twenty three thousand two hundred seventy-five is going to be someplace right around here and so when we round to the nearest thousand we have to pick between that and that and we see it is much closer to 423,000 then to 424,000 so we round it right there if we just use the rules we just came up with and we rounded down to four hundred twenty three thousand