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Move the decimal point to the right until the number is between 1 and 10.

April 13, 2026Mathematics

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Answer

7.852 \times 10^{-1}

3 steps

To write 0.7852 in scientific notation, we need to express it in the form $a \times 10^b$ , where $1 \le a < 10$ and $b$ is an integer.

Move the decimal point to the right until the number is between 1 and 10.
The number is 0.7852. Moving the decimal point one place to the right gives 7.852.
Determine the exponent of 10.
Since the decimal point was moved one place to the right, the exponent will be $-1$ .
Write the number in scientific notation.
$0.7852 = 7.852 \times 10^{-1}$
The number 0.7852 in scientific notation is $\boxed{7.852 \times 10^{-1}}$ .

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