How do you write 116,000 in scientific notation? _____ × 10^_____

Identify Significant Digit: Identify the most significant digit in 116,000 and the position of the decimal point after that digit. The most significant digit in 116,000 is 1. To express this number in scientific notation, we need to place the decimal point after the first non-zero digit, which is 1. So, we move the decimal point to the right of the first 1, which gives us 1.16.Count Decimal Point: Count the number of places the decimal point has been moved. To get from 116,000 to 1.16, we move the decimal point 5 places to the left.Write as Product: Write the number as a product of the decimal obtained in Step 1 and 10 raised to the power of the number of places the decimal point was moved in Step 2. Since we moved the decimal point 5 places to the left, we multiply 1.16 by 10 raised to the power of 5.Combine Results: Combine the results from Steps 1 and 3 to express 116,000 in scientific notation. The scientific notation of 116,000 is 1.16 × 10^5.

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Q. How do you write

116,000

in scientific notation?

\newline

\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}

Identify Significant Digit: Identify the most significant digit in $116,000$ and the position of the decimal point after that digit. $\newline$ The most significant digit in $116,000$ is $1$ . To express this number in scientific notation, we need to place the decimal point after the first non-zero digit, which is $1$ . So, we move the decimal point to the right of the first $1$ , which gives us $1.16$ .
Count Decimal Point: Count the number of places the decimal point has been moved. $\newline$ To get from $116,000$ to $1.16$ , we move the decimal point $5$ places to the left.
Write as Product: Write the number as a product of the decimal obtained in Step $1$ and $10$ raised to the power of the number of places the decimal point was moved in Step $2$ . $\newline$ Since we moved the decimal point $5$ places to the left, we multiply $1.16$ by $10$ raised to the power of $5$ .
Combine Results: Combine the results from Steps $1$ and $3$ to express $116,000$ in scientific notation. $\newline$ The scientific notation of $116,000$ is $1.16 \times 10^5$ .