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Question 6 (6 points)
"The Skroungee Skarff"
Multiply. Only include three significant digits (#.##)

{:[(1.32 ×10^(6))×(3.07 ×10^(5))=(" it . it "4" ) "],[×10],[(3.98 ×10^(7))×(6.59 ×10^(7))=(####)]:}

×10 
44,548 ×13,186,890=(#.##) 
×10
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Question 66 (66 points)\newline

Full solution

Q. Question 66 (66 points)\newline
  1. Multiply coefficients first pair: First, multiply the coefficients of the first pair: 1.32×3.071.32 \times 3.07.
  2. Add exponents first pair: The product of the coefficients is 4.05444.0544.
  3. Combine first pair: Now, add the exponents of the first pair: 106+105=106+5=101110^{6} + 10^{5} = 10^{6+5} = 10^{11}.
  4. Round first pair: Combine the coefficient and the exponent for the first pair: 4.0544×10114.0544 \times 10^{11}.
  5. Multiply coefficients second pair: Round the coefficient to three significant digits: 4.05×10114.05 \times 10^{11}.
  6. Add exponents second pair: Next, multiply the coefficients of the second pair: 3.98×6.593.98 \times 6.59.
  7. Combine second pair: The product of the coefficients is 26.224226.2242.
  8. Round second pair: Now, add the exponents of the second pair: 107+107=107+7=101410^{7} + 10^{7} = 10^{7+7} = 10^{14}.
  9. Multiply whole numbers: Combine the coefficient and the exponent for the second pair: 26.2242×101426.2242 \times 10^{14}.
  10. Round product: Round the coefficient to three significant digits: 26.2×101426.2 \times 10^{14}.
  11. Round product: Round the coefficient to three significant digits: 26.2×101426.2 \times 10^{14}.Finally, multiply the whole numbers: 44,548×13,186,89044,548 \times 13,186,890.
  12. Round product: Round the coefficient to three significant digits: 26.2×101426.2 \times 10^{14}.Finally, multiply the whole numbers: 44,548×13,186,89044,548 \times 13,186,890.The product of the whole numbers is 587,218,907,752587,218,907,752.
  13. Round product: Round the coefficient to three significant digits: 26.2×101426.2 \times 10^{14}.Finally, multiply the whole numbers: 44,548×13,186,89044,548 \times 13,186,890.The product of the whole numbers is 587,218,907,752587,218,907,752.Round the product to three significant digits: 587×106587 \times 10^{6}.

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