Express the result of the following calculation in scientific notation: 437 cm × 885 cm A) 38.7 × 10⁴ cm² B) 38.7 × 10⁵cm² C) 4 × 10⁴cm² D) 4 × 10⁶cm² E) 4 × 10⁵cm²

Question

Quizplus · Accepted Answer

To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. 
437 cm can be written as 4.37 × 10^2 cm (move decimal point 2 places to the left)
885 cm can be written as 8.85 × 10^2 cm (move decimal point 2 places to the left)
Multiplying the coefficients, we get 4.37 × 8.85 = 38.6445, which we round to 38.6.
Adding the exponents, we get 2 + 2 = 4.
Putting it all together, we get 38.6 × 10^4 cm. written as 3.86 × 10^5cm So, the correct choice is E: 4 × 10^15 cm.

Express the Result of the Following Calculation in Scientific Notation