posted by Hunter on .
Asking to describe & correct the error in writing the number 81,700,000 in sci. notation.
Standard Form 81,700,00
Product Form 81.7 x 100,000
Scientific notation 81.7 x 10^5
You typed both 81,700,00 and 81,700,000. I will assume you meant the second, because of the placement of the commas.
So Standard form 81,700,000
= 81.7 * 10^6
= 8.17 * 10^7
In scientific notation, we put only _one_ digit before the decimal place, so you will never see
81.7 x anything, or
36.7 x anything;
you always have to add the extra power of ten to make it
8.17 x something or
3.67 x something.
A million (1,000,000) is 10^6 - just count the zeroes as a rule of thumb.
We're looking to express 81.7 million, so 81.7 x 10^6 is accurate, but it's not in standard form. We need to move the decimal place left one and add a power of 10.
8.17 times 10^7
what is 81.7 x 100,000 in product form