Question

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Part 1
Error Analysis  Your friend says that the product of 1.4 times 10 Superscript 9 and 5 times 10 Superscript negative 6 is 7 times 10 Superscript negative 3. What is the correct​ product? What mistake did your friend likely​ make?
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Part 1
left parenthesis 1.4 times 10 Superscript 9 right parenthesis left parenthesis 5 times 10 Superscript negative 6 right parenthesisequals
  
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​(Use scientific notation. Use the multiplication symbol in the math palette as​ needed.)

Answer 1

(1.4 × 10^9)(5 × 10^−6) = (1.4·5) × 10^(9 + (−6)) = 7 × 10^3.

Your friend likely combined the exponents incorrectly (getting −3 instead of +3), i.e. mishandled the sign when adding 9 and −6.