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Algebra Difficulty 3.9 AMC 10/12 Find the answer South Africa

How many zeroes will there be in the answer if the following number is divided by 111111?
11102222220033333333300044444444444400001110222222003333333330004444444444440000

A number or a short expression. Spacing and $ signs are ignored.

Solution

1110222222003333333330004444444444440000111=100020020000300300300000400400400400000\frac{1110222222003333333330004444444444440000}{111} = 100020020000300300300000400400400400000, which contains 2828 zeroes.

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