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Question

Simplify this expression and put your answer in Scientific Notation:
2.7 x 10^5/3.2 x 10^7
(4 points)

Step 1 Word Bank: (Add, Subtract, Multiply, Divide) the coefficients

Step 2 Word Bank: (Add, Subtract, Multiply, Divide) the exponents to simplify.

Step 3 Word Bank: (Add to the exponent, subtract from the exponent, or Do not change the exponent) to change the exponent for Scientific Notation

Step 4 Word Bank: (0.844 x 10^2, 0.844 x 10^-2, 8.44 x 10^-3, 8.44 x 10^12, 8.44 x 10^-1) is the final answer.

Answer 1

Let's go through the steps for simplifying the expression \( \frac{2.7 \times 10^5}{3.2 \times 10^7} \).

Step 1:

Word Bank: (Add, Subtract, Multiply, Divide)

• Divide the coefficients: \( \frac{2.7}{3.2} \)

Calculating this gives us: \[ \frac{2.7}{3.2} \approx 0.84375 \quad (\text{approximately } 0.844 \text{ for rounding}) \]

Step 2:

Word Bank: (Add, Subtract, Multiply, Divide)

• Subtract the exponents: \( 5 - 7 \)

Calculating gives us: \[ 5 - 7 = -2 \]

Step 3:

Word Bank: (Add to the exponent, subtract from the exponent, or Do not change the exponent)

• Do not change the exponent to express in Scientific Notation.

Thus, we now have: \[ 0.844 \times 10^{-2} \]

Step 4:

Word Bank: (0.844 x 10^2, 0.844 x 10^-2, 8.44 x 10^-3, 8.44 x 10^12, 8.44 x 10^-1)

• To convert to proper Scientific Notation, we express it as: \[ 8.44 \times 10^{-3} \]

Final Answer:

So, the final answer is \( 8.44 \times 10^{-3} \).