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What is the product of the greatest number of five digits and the greatest number of three digits?

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99899001

95499001

99900100

998745001

answer is A.

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Detailed Solution

We know that 99999 is the largest 5-digit number.
Also, we know that 999 is the largest three-digit number.
When we multiply the two terms we obtained, we get,

99999 × 999 = (100000 − 1) × (1000 − 1) = 100000 × 1000 − 1 × 1000 + 100000 × (− 1) − 1 × (− 1) = 100000000 − 1000 − 100000 + 1 = 1000 (100000 − 1 − 100) + 1 = 1000 (99999 − 100) + 1 = 1000 (99899) + 1 = 99899000 + 1 = 99899001

Thus, 99899001 will be the result of the biggest number of three digits plus the greatest number of five digits.
Therefore, the correct option is 1.

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