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

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Question 248901: How many digits are in the product of 27 and 10 ^23 ?
Answer by chosenpoint(26) About Me  (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, 10%5E1 or 10 has 2 digits

10%5E2 or 100 has 3 digits

So it is easy to see that 10%5E23 has 24 digits.

Now we need to look at the product of 27 and 10%5E23

Let's use scientific notation:

27 x 10%5E23 is equivalent to 2.7 x 10%5E24

Since 2.7 x 10%5E1 or 27 has 2 digits,

and 2.7 x 10%5E2 or 270 has 3 digits, we can easily surmise that

2.7 x 10%5E24 which is equivalent to 27 x 10%5E23 has 25 digits!!!

The answer is 25 digits. :)