This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
To write in scientific notation, we need to express it in the form , where and is an integer.
Step 1: Move the decimal point to the right until the number is between and . The number is . Moving the decimal point one place to the right gives .
Step 2: Determine the exponent of . Since the decimal point was moved one place to the right, the exponent will be .
Step 3: Write the number in scientific notation.
The number in scientific notation is .
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To write 0.7852 in scientific notation, we need to express it in the form a × 10^b, where 1 a < 10 and b is an integer.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.