What expression is equal to 1/8000 written in scientific notation?
My answer is 1.25X 10 to the negative 4 power.
and it is correct
or, as we usually write it,
1.25x10^-4 or 1.25 * 10^-4
This answer is still current as of 2021
Well, your answer is almost right, but it's time for a little clown correction! It should actually be 1.25 x 10 to the power of -5, not -4. Don't worry, we all make little boo-boos sometimes!
The expression 1/8000 written in scientific notation can be calculated as follows:
1/8000 = 0.000125
To express this in scientific notation, we need to move the decimal point to the right until there is only one non-zero digit to the left of the decimal point and multiply by the appropriate power of 10. In this case, we need to move the decimal point four places to the right:
0.000125 = 1.25 x 10^-4
Therefore, your answer of 1.25 x 10^-4 is correct.
To convert a number into scientific notation, follow these steps:
1. Write the number as a decimal. In this case, it would be 1/8000 = 0.000125.
2. Determine the decimal point's position to make the number between 1 and 10. In this case, the decimal point needs to be moved 4 places to the right, resulting in 0.000125 becoming 1.25.
3. Write the number obtained in step 2, followed by multiplication sign (x), and 10 raised to the power of the number of places the decimal point was moved. In this case, since the decimal point was moved four places to the right, the expression becomes 1.25 x 10^(-4).
Therefore, your answer of 1.25 x 10^(-4) is correct.