Multiply and answer in scientific notation: (3.8 x 10^8)(6.9 x 10^5)

Question

Responses
A 2.622 x 10^3
B 2.622 x 10^14
C 26.22 x 10^13
D 26.22 x 10^14

Answer 1

To multiply the numbers in scientific notation \((3.8 \times 10^8)(6.9 \times 10^5)\), follow these steps:

1. Multiply the coefficients: \[ 3.8 \times 6.9 = 26.22 \]

2. Add the exponents: \[ 10^{8+5} = 10^{13} \]

3. Combine the results: \[ 26.22 \times 10^{13} \]

Now, we need to express \(26.22 \times 10^{13}\) in proper scientific notation, where the coefficient is between 1 and 10.

We can rewrite \(26.22\) as \(2.622\) and adjust the exponent accordingly: \[ 26.22 \times 10^{13} = 2.622 \times 10^{14} \]

Thus, the final answer is: \[ \boxed{D , 2.622 \times 10^{14}} \]