Divide 6.1×10^20 by 3.2×10^5 . Express your answer in Scientific Notation.(6 points)

Question

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Step 1: Response area Result: Response area

Step 2: Response area Result: Response area

Step 3: Response area Final answer: Response area

Step 1 & results
Step 2 & results
Step 3 & results
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Answer 1

To divide \( 6.1 \times 10^{20} \) by \( 3.2 \times 10^{5} \), we can follow the rules of dividing numbers in scientific notation.

Step 1: Divide the coefficients (the numbers in front)

\[ \frac{6.1}{3.2} = 1.90625 \]

Step 2: Subtract the exponents (the powers of 10)

\[ 10^{20 - 5} = 10^{15} \]

Step 3: Combine the results

Now, we combine the result from Step 1 and Step 2:

\[ 1.90625 \times 10^{15} \]

Since we want our answer in proper scientific notation, we should have one non-zero digit to the left of the decimal point. Here, \( 1.90625 \) is already in proper form. However, for the sake of rounding, we can express it as:

\[ 1.91 \times 10^{15} \]

Now, we can fill in the response areas:

Step 1: Response area

• Coefficients: \( 1.90625 \)

Step 2: Response area

• Exponents: \( 15 \)

Step 3: Final answer:

• \( 1.91 \times 10^{15} \)