Questions: Which of the following is the decimal notation for 3.7 × 10^-5 ? 370,000 -370,000 -0.000037 0.000037

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
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Solution

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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 \(\boxed{0.000037}\).

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