Problem 84

Question

Write each number in scientific notation. $$0.0083$$

Step-by-Step Solution

Verified
Answer
The number 0.0083 in scientific notation is \(8.3 \times 10^{-3}\).
1Step 1: Identify the decimal number
Identify the number given which is \(0.0083\).
2Step 2: Move the decimal point
Move the decimal point of the number to the right till it stands to the right of the first non-zero digit or after the first significant digit. This results in \(8.3\). In this case, the decimal point has been moved 3 places to the right.
3Step 3: Write the number in scientific notation
The number in scientific notation is then \(8.3 \times 10^{-3}\). We used a negative exponent because the original decimal was less than 1 and we had to move the decimal point to the right.