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
The original number, 81,700,000, written in standard form, is incorrect. The correct standard form of this number is 81,700,000.
To write this number in scientific notation, follow these steps:
1. Identify the non-zero digits in the original number. In this case, the non-zero digits are 8, 1, and 7.
2. Place a decimal point after the first non-zero digit. In this case, place the decimal point after the 8, resulting in 8.17.
3. Count the number of decimal places between the original number and the new decimal point position. In this case, there are six decimal places between the original number and the new decimal point position.
4. Write the new number, obtained in step 2, followed by "x 10" raised to the power of the number of decimal places from step 3. In this case, we have 8.17 x 10^6.
Therefore, the correct scientific notation for the number 81,700,000 is 8.17 x 10^6.