Question

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Part 1
Think About the Process  Find the quotient of the first factors of StartFraction 3.5 times 10 squared Over 7 times 10 Superscript negative 1 EndFraction
. What do you​ notice? Find the quotient. Use pencil and paper. How does this affect the exponent of the​ quotient?
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Part 1
Divide the first factors of the given numbers. What do you​ notice?
A.
The quotient of the first factors is greater than 10.
B.
The quotient of the first factors is less than 1.
This is the correct answer.C.
The quotient of the first factors is greater than 1 but less than 10.
Your answer is not correct.
Part 2
StartFraction 3.5 times 10 squared Over 7 times 10 Superscript negative 1 EndFraction
equals
  
enter your response here
​(Use scientific notation. Use the multiplication symbol in the math palette as​ needed.)

Answer 1

Part 1: 3.5 ÷ 7 = 0.5, which is less than 1. (So answer B is correct.)

Part 2:
(3.5 × 10^2) ÷ (7 × 10^(−1)) = (3.5 ÷ 7) × 10^(2 − (−1)) = 0.5 × 10^3.
Convert to proper scientific notation: 0.5 × 10^3 = 5 × 10^2.

Final answer: 5 × 10^2.