how do you describe and correct errors when writing the number 81,700,000 in scientific notation?

Huh? 8.17E7 (or 8.17*107) is scientific notation. I have not a clue what you asked.

81.7x10^5

To describe and correct errors when writing the number 81,700,000 in scientific notation, we should follow the guidelines for scientific notation.

Scientific notation represents numbers as a product of a decimal number between 1 and 10 (known as the coefficient) and a power of 10 (known as the exponent).

The number 81,700,000 can be written in scientific notation as 8.17 x 10^7.

To correct any errors, we need to ensure that the coefficient is between 1 and 10. In this case, the coefficient is already correct since 8.17 is between 1 and 10. However, if the original number was written as 81.7 x 10^6, we should move the decimal point one place to the left to get the number between 1 and 10.

Therefore, the corrected scientific notation would be 8.17 x 10^7.