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Question
Work out the following multiplication.
12345679
× 9
Use the result to answer the following question.
What will be 12345679 × 45?
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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°.
12345679
We have to compute, × 45
Here, multiplier is 45 whose sum of digits is 9.
Thus, by conjecture we conclude that the product consists of digits 5 only as unit’s digit of 9 × 5 is 5
12345679
∴ × 45
555555555
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