Divide 6.1×10^20 by 3.2×10^5

Question

. Express your answer in Scientific Notation. (6 points)

Step 1:

Step 2:

Step 3:

Step 1 and results Word Bank: Add coefficients, Subtract coefficients, Divide coefficients, 2.9, 1.91, 9.3

Step 2 and results Word Bank: Add coefficients, Divide coefficients, Subtract coefficients, 10^25, 10^15, 10^4

Step 3 and results Word Bank: Make sure your answer is in scientific notation, 1.91 x 10^15, 2.9 x 10^25, 9.3 x 10^4

Answer 1

Let's divide \(6.1 \times 10^{20}\) by \(3.2 \times 10^{5}\) step by step, expressing the answer in scientific notation.

Step 1: Divide coefficients.

We divide the coefficients (the numbers in front) of the two terms:
\[ \frac{6.1}{3.2} = 1.90625 , (\text{approx. } 1.91) \]

Step 2: Subtract exponents.

Next, we subtract the exponents of \(10\):
\[ 20 - 5 = 15 \]
Thus, we have \(10^{15}\).

Step 3: Combine results and ensure in scientific notation.

Combining the results from Step 1 and Step 2 gives us: \[ 1.91 \times 10^{15} \]

So, the final answer in scientific notation is: \[ \boxed{1.91 \times 10^{15}} \]

Summary of Steps:

• Step 1: Divide coefficients \(\Rightarrow 1.91\)
• Step 2: Subtract exponents \(\Rightarrow 10^{15}\)
• Step 3: Combine \(\Rightarrow 1.91 \times 10^{15}\)

Using the word bank:

• Step 1 and results: Divide coefficients, 1.91
• Step 2 and results: Subtract coefficients, \(10^{15}\)
• Step 3 and results: Make sure your answer is in scientific notation, \(1.91 \times 10^{15}\)