Questions: 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.)

Solution

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 $9.2 \times 10^{-4}$.