Full solution

Q. How do you write

34.4

in scientific notation?

\newline

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

Identify Significant Digit: Identify the most significant digit in $34.4$ and the decimal point's new position. $\newline$ To express $34.4$ in scientific notation, we need to rewrite it so that there is one non-zero digit to the left of the decimal point. The most significant digit in $34.4$ is $3$ , so we will need to place the decimal point after the $3$ .
Move Decimal Point: Move the decimal point to the right of the first non-zero digit. $\newline$ Moving the decimal point one place to the left gives us $3.44$ . This is because scientific notation requires the format to be a number between $1$ and $10$ multiplied by a power of $10$ .
Determine Power of $10$ : Determine the power of $10$ . Since we moved the decimal point one place to the left, we need to multiply $3.44$ by $10$ to the power of $1$ to get back to the original number, $34.4$ . This is because moving the decimal point to the left increases the power of $10$ .
Write in Scientific Notation: Write the number in scientific notation. $\newline$ The number $34.4$ in scientific notation is written as $3.44 \times 10^1$ .