Questions: Which of the following is the decimal notation for 3.7 × 10^-5 ?
370,000
-370,000
-0.000037
0.000037
Transcript text: Which of the following is the decimal notation for $3.7 \times 10^{-5}$ ?
370,000
$-370,000$
$-0.000037$
0.000037
Solution
Solution Steps
To convert the scientific notation \(3.7 \times 10^{-5}\) to decimal notation, you need to move the decimal point 5 places to the left because the exponent is negative. This will give you the decimal representation of the number.
Step 1: Convert Scientific Notation
The given scientific notation is \(3.7 \times 10^{-5}\). To convert this to decimal notation, we need to move the decimal point 5 places to the left.
Step 2: Perform the Decimal Shift
Starting with \(3.7\), moving the decimal point 5 places to the left results in:
\[
3.7 \rightarrow 0.000037
\]
Final Answer
The decimal notation for \(3.7 \times 10^{-5}\) is \(\boxed{0.000037}\).