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The approximate areas of Arkansas and Puerto Rico are listed below: Arkansas: 1.38 ×10^(5) square kilometers Puerto Rico: 5.33 ×10^(3) square kilometers How many times larger is Arkansas than Puerto Rico? Write your answer in standard notation, rounding to the nearest tenth. Answer:

The approximate areas of Arkansas and Puerto Rico are listed below:\newlineArkansas: 1.38×105 1.38 \times 10^{5} square kilometers\newlinePuerto Rico: 5.33×103 5.33 \times 10^{3} square kilometers\newlineHow many times larger is Arkansas than Puerto Rico? Write your answer in standard notation, rounding to the nearest tenth.\newlineAnswer:

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Full solution

Q. The approximate areas of Arkansas and Puerto Rico are listed below:\newlineArkansas: 1.38×105 1.38 \times 10^{5} square kilometers\newlinePuerto Rico: 5.33×103 5.33 \times 10^{3} square kilometers\newlineHow many times larger is Arkansas than Puerto Rico? Write your answer in standard notation, rounding to the nearest tenth.\newlineAnswer:
  1. Write Areas: Write down the areas of Arkansas and Puerto Rico.\newlineArkansas: 1.38×1051.38 \times 10^5 square kilometers\newlinePuerto Rico: 5.33×1035.33 \times 10^3 square kilometers
  2. Divide Areas: Divide the area of Arkansas by the area of Puerto Rico to find out how many times larger Arkansas is.\newlineCalculation: (1.38×105)/(5.33×103)(1.38 \times 10^5) / (5.33 \times 10^3)
  3. Perform Division: Perform the division by first dividing the coefficients 1.38/5.331.38 / 5.33 and then subtracting the exponents of 1010 5−35 - 3.\newlineCalculation: 1.385.33×105−3\frac{1.38}{5.33} \times 10^{5-3}
  4. Calculate Coefficients: Calculate the division of the coefficients.\newlineCalculation: 1.38/5.33≈0.2591.38 / 5.33 \approx 0.259
  5. Calculate Power: Calculate the power of 1010.\newlineCalculation: 105−3=102=10010^{5-3} = 10^2 = 100
  6. Multiply Results: Multiply the result from Step 44 by the result from Step 55 to get the final answer.\newlineCalculation: 0.259×100≈25.90.259 \times 100 \approx 25.9
  7. Round Answer: Round the result to the nearest tenth as instructed.\newlineCalculation: 25.925.9 (already rounded to the nearest tenth)

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