Questions: Write the number in scientific notation. 0.00092 0.00092= (Use the multiplication symbol in the math palette as needed.)

Write the number in scientific notation.

0.00092 

0.00092=

(Use the multiplication symbol in the math palette as needed.)
Transcript text: Write the number in scientific notation. \[ \begin{array}{c} 0.00092 \\ 0.00092= \end{array} \] $\square$ (Use the multiplication symbol in the math palette as needed.)
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Solution

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Solution Steps

To convert a number into scientific notation, we need to express it as a product of a number between 1 and 10 and a power of 10. For the number 0.00092, we move the decimal point to the right until we have a number between 1 and 10, counting the number of places moved. This count becomes the negative exponent of 10.

Step 1: Identify the Number to Convert

We start with the number \(0.00092\).

Step 2: Move the Decimal Point

To convert \(0.00092\) into scientific notation, we move the decimal point to the right until we have a number between 1 and 10. In this case, we move the decimal point 4 places to the right, resulting in the number \(9.2\).

Step 3: Determine the Exponent

Since we moved the decimal point 4 places to the right, the exponent of 10 will be \(-4\).

Step 4: Write in Scientific Notation

The scientific notation of \(0.00092\) is \(9.2 \times 10^{-4}\).

Final Answer

\(\boxed{9.2 \times 10^{-4}}\)

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