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By what percent is 4.5 x 10^5 greater than 9 x 10^4?

Correct answer: B. 400%

  • A. 200%
  • B. 400%
  • C. 500%
  • D. 600%

Explanation

To determine by what percent 4.5 x 105 is greater than 9 x 104, first calculate the difference between the two numbers:Difference = 4.5 x 105 - 9 x 104 = 3.6 x 105.Next, express this difference as a percentage of the original value (9 x 104):Percent increase = (Difference / Original value) x 100%= (3.6 x 105 / 9 x 104) x 100%= 4 x 100%= 400%Thus, the correct answer is Option B: 400%. Other options are incorrect because they either underestimate or overestimate the percentage increase.

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About Quantitative Reasoning

Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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