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How do you write $48.4$ in scientific notation? $\newline$ $\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}$

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Scientific notation

Full solution

Q. How do you write

48.4

in scientific notation?

\newline

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

Identify Significant Digit: Identify the most significant digit in $48.4$ and the decimal point's new position after it. $\newline$ The most significant digit in $48.4$ is $4$ . To express $48.4$ in scientific notation, we need to place the decimal point after the first non-zero digit, which is $4$ . This means we will move the decimal point one place to the left.
Determine Exponent: Determine the exponent for the power of $10$ . Since we moved the decimal point one place to the left, the exponent for the power of $10$ will be positive $1$ , because we can think of $48.4$ as being multiplied by $10^1$ to get back to its original value.
Write in Scientific Notation: Write the number in scientific notation. $\newline$ After moving the decimal point, we have $4.84$ . Since we determined that the exponent for the power of $10$ is $1$ , we can write $48.4$ in scientific notation as $4.84 \times 10^1$ .

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