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How do you write 48.448.4 in scientific notation?\newline______×10______\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}

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Q. How do you write 48.448.4 in scientific notation?\newline______×10______\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}
  1. Identify Significant Digit: Identify the most significant digit in 48.448.4 and the decimal point's new position after it.\newlineThe most significant digit in 48.448.4 is 44. To express 48.448.4 in scientific notation, we need to place the decimal point after the first non-zero digit, which is 44. This means we will move the decimal point one place to the left.
  2. Determine Exponent: Determine the exponent for the power of 1010. Since we moved the decimal point one place to the left, the exponent for the power of 1010 will be positive 11, because we can think of 48.448.4 as being multiplied by 10110^1 to get back to its original value.
  3. Write in Scientific Notation: Write the number in scientific notation.\newlineAfter moving the decimal point, we have 4.844.84. Since we determined that the exponent for the power of 1010 is 11, we can write 48.448.4 in scientific notation as 4.84×1014.84 \times 10^1.

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