Problem 83
Question
Write each number in scientific notation. $$0.0027$$
Step-by-Step Solution
Verified Answer
The number 0.0027 in scientific notation is \(2.7 \times 10^{-3}\).
1Step 1: Determine the Decimal Place
The given number is 0.0027. We need to move the decimal point to the right until we are left with a number between 1 and 10. In our case, the decimal point is moved 3 places to the right, arriving at 2.7.
2Step 2: Formulate in Scientific Notation
Having moved the decimal 3 places to the right, we see that the exponent of 10 is -3. This is because the original number was less than 1, and we had to 'increase' its size by moving the decimal point. Therefore, the number in scientific notation is \(2.7 \times 10^{-3}\).
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