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Question
Work out the following multiplication.
12345679
× 9
Use the result to answer the following question.
By what number should 12345679 be multiplied to get 999999999?
Solution
12345679
We have, × 9
111111111
Here, we observe that in the product all the digits are same i.e. 1, which is actually the unit digit of the product 9 × 9. Also, total of digits in the multiplier is 90°.
To get the number 9 in the product we have to find out a two-digit number whose sum of digits is 9 and the product of its unit’s digit with the unit’s digit of the given number is 9, such number is 81.
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