find the number of integers between 100 and 500 that are divisible by 9
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==>> All the integers are divisible by 9 in the rational numbers. 55 are exactly divisible. The rest have a fractional remainder. In decimals these 445 are non terminating.
In base 9 500 is divisible by 9 exactly because it ends in zero. There are 50 numbers ( 45 in decimal) that end in zero.
==>> In base 3 500 ends in two zeros. So is divisible by 100 (9 in decimal), as are four other numbers.
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