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Round this number to a single digit times a power of 10 . Write your answer in scientific notation. 0.00099163

Round this number to a single digit times a power of 1010 . Write your answer in scientific notation.\newline0.00099163 0.00099163

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Full solution

Q. Round this number to a single digit times a power of 1010 . Write your answer in scientific notation.\newline0.00099163 0.00099163
  1. Identify significant digit: Identify the most significant digit in 0.000991630.00099163, which is 99.
  2. Move decimal point: Move the decimal point so that it is after the first significant digit, which gives us 9.91639.9163.
  3. Count decimal places moved: Count how many places we moved the decimal point to get from 0.000991630.00099163 to 9.91639.9163. We moved it 44 places to the right.
  4. Calculate power of 1010: Since we moved the decimal to the right, the power of 1010 will be negative. So, we multiply 99 by 1010 to the power of −4-4.
  5. Round to single digit: Round 9.91639.9163 to a single digit, which is already 99, so no change is needed.
  6. Write in scientific notation: Write the number in scientific notation as 9×10−49 \times 10^{-4}.

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