SOLUTION: How many digits are in the product of 27 and 10 ^23 ?

Question 248901: How many digits are in the product of 27 and 10 ^23 ?
Answer by chosenpoint(26) (Show Source): You can put this solution on YOUR website!
This question involves understanding exponents and scientific notation, and should be pretty simple once we see what's going on.

To begin with, or 10 has 2 digits

or 100 has 3 digits

So it is easy to see that has 24 digits.

Now we need to look at the product of 27 and

Let's use scientific notation:

27 x is equivalent to 2.7 x

Since 2.7 x or 27 has 2 digits,

and 2.7 x or 270 has 3 digits, we can easily surmise that

2.7 x which is equivalent to 27 x has 25 digits!!!

The answer is 25 digits. :)

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