Place the digits 1,2,3,7, and 8 in a division problem, how would you place them to find the greatest quotient?
8732 divided by 1
It should be like this:
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__ __|__ __ __
With two digits outside, and three digits inside!
To find the greatest quotient using the given digits 1, 2, 3, 7, and 8, we need to arrange them in a way that maximizes the dividend and minimizes the divisor.
First, let's consider the dividend. The greatest possible number we can form using these digits is 87321. This is found by arranging the digits in descending order, hence placing 8 as the hundreds digit, 7 as the tens digit, 3 as the units digit, and 2 and 1 as the remaining digits.
Next, let's consider the divisor. Since we want to minimize the divisor, we need to place the smallest digit, which is 1, as the divisor.
So, using the digits 1, 2, 3, 7, and 8, we can form the division problem:
87321 รท 1 = 87321
By arranging the digits in this way, we obtain the greatest possible dividend and smallest possible divisor, resulting in the greatest quotient.