Final answer:
To convert 0.00320 to scientific notation, move the decimal three places to the right, which gives 3.20, and since the decimal moved to the right, the exponent is negative: 3.20 × 10^-3.
Step-by-step explanation:
To express the number 0.00320 in exponential notation (or scientific notation), you need to place the decimal point such that you have a number between 1 and 10 and then count the number of places the decimal has moved. For 0.00320, move the decimal three places to the right to get 3.20. So, the number in scientific notation is 3.20 × 10-3.
Step-by-step explanation:
- Identify the first non-zero digit in the number 0.00320, which is 3.
- Move the decimal point to the right of that digit to make the number 3.20.
- Count how many places the decimal moved. In this case, it moved three places to the right.
- The exponent in scientific notation will be negative because the original number is less than one.
- Write the number as 3.20 followed by × 10 raised to the power of the negative number of places the decimal moved, in this case, -3.
The final answer is 3.20 × 10-3.