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Two positive integers between 51 and 999 are both rounded to the nearest hundred. If these two numbers are multiplied together, which of the following must be true?
F
The product is less than 1000.
G
The product has a zero only in the ones and tens places.
H
The product has a digit greater than zero in the thousands place.
J
The product has a zero in the ones, tens, and hundreds places.
K
The product has a digit greater than zero in the ten-thousands place.
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