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galben [10]
3 years ago
10

Each letter in the expression shown to the right represents a digit other than zero. Different letters represent different digit

s and the same letter always represents the same digit. What is the smallest whole number that can be the value of this expression?

Mathematics
1 answer:
den301095 [7]3 years ago
4 0

Answer:

The smallest whole number that can be the value of the expression is 2

Step-by-step explanation:

Given that the letters represent different digits, to get the smallest whole number value for the expression we have;

\dfrac{K \times A  \times N  \times G  \times A  \times R  \times O  \times O}{G  \times A  \times M  \times E}

The letters G and A cancel out from the numerator and the denominator to give;

\dfrac{K \times A  \times N   \times R  \times O  \times O}{M  \times E}

Therefore, the smallest whole number can be from 2 and above as the product of six digits is more than one times the product of two digits

If we put

K = 2, A = 3, N = 4, R = 6, O = 1, M = 9, and E = 8, we have;

\dfrac{2 \times 3  \times 4   \times 6  \times 1  \times 1}{9  \times 8} = \dfrac{144}{72} =2

Therefore, the smallest whole number that can be the value of the expression = 2.

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