Describe and correct the error in writing the number 81,700,000 in scientific notation.
Standard form 81,700,000
product form 81.7*100,000
scientific notation 81.7*10
the scientific notation would be: 8.17X 10^7
in scientific notations the decimal always has to be after the first non-zero number
8.1
To write the number 81,700,000 in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
To do this, we need to move the decimal point in 81,700,000 so that we have a number between 1 and 10. In this case, we can move the decimal point 7 places to the left to obtain 8.17.
Now, we have 8.17, and we need to determine the power of 10. When we move the decimal point 7 places to the left, we essentially divide by 10^7. Therefore, we need to multiply our number by 10^7 to compensate for this.
Putting it all together, we can write 81,700,000 in scientific notation as:
8.17 * 10^7.
The error in the provided scientific notation, 81.7 * 10, is that it does not account for the proper power of 10. The power of 10 should be 7, not 1.