Compute and write your answer in scientific notation.
8.2 x 105
2.75 x 10-3
To write a number in scientific notation, we express it as a product of a decimal number between 1 and 10 (the coefficient) and a power of 10.
For example, let's convert 8.2 x 10^5 to scientific notation:
Step 1: Determine the coefficient, which is the decimal number alone. In this case, it is 8.2.
Step 2: Determine the exponent, which is the power of 10. Here, the exponent is 5, indicating the number of places the decimal point needs to be moved.
Step 3: Combine the coefficient and exponent to write the number in scientific notation. Therefore, 8.2 x 10^5 in scientific notation is 8.2e5 (or 8.2 x 10 raised to the power of 5).
Now let's convert 2.75 x 10^-3 to scientific notation:
Step 1: The coefficient is 2.75.
Step 2: The exponent is -3, indicating that the decimal point needs to be moved 3 places to the left.
Step 3: Combining the coefficient and exponent, we have 2.75 x 10^-3 in scientific notation.
So, the final answers in scientific notation are:
8.2 x 10^5
2.75 x 10^-3