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What is the quotient of 
8.91 ×10^(5) and 
9.9 ×10^(2) expressed in scientific notation?
Answer:

What is the quotient of 8.91×105 8.91 \times 10^{5} and 9.9×102 9.9 \times 10^{2} expressed in scientific notation?\newlineAnswer:

Full solution

Q. What is the quotient of 8.91×105 8.91 \times 10^{5} and 9.9×102 9.9 \times 10^{2} expressed in scientific notation?\newlineAnswer:
  1. Write Numbers in Scientific Notation: Write down the numbers that need to be divided in scientific notation. 8.91×1058.91 \times 10^5 and 9.9×1029.9 \times 10^2
  2. Divide Coefficients and Exponents: Divide the coefficients (the numbers in front of the powers of 1010) and subtract the exponents.\newline(8.91÷9.9)×10(52)(8.91 \div 9.9) \times 10^{(5 - 2)}
  3. Perform Coefficient Division: Perform the division of the coefficients. 8.91÷9.90.98.91 \div 9.9 \approx 0.9
  4. Subtract Exponents: Subtract the exponents.\newline1052=10310^{5 - 2} = 10^3
  5. Combine Results in Scientific Notation: Combine the results of the division of coefficients and the subtraction of exponents to express the quotient in scientific notation. 0.9×1030.9 \times 10^3

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