Question

Divide. Write your quotient in scientific notation.

(1.5×107)÷(3×103)


(1 point)
Responses

0.5×104
0 point 5 times 10 to the 4th power

2×104
2 times 10 to the 4th power

5×103
5 times 10 cubed

5×109

Answer 1

To divide \((1.5 \times 10^7)\) by \((3 \times 10^3)\), follow these steps:

1. Divide the coefficients:
\[
\frac{1.5}{3} = 0.5
\]

2. Subtract the exponents of 10:
\[
10^{7 - 3} = 10^4
\]

3. Combine the results:
\[
0.5 \times 10^4
\]

Now, to express \(0.5\) in standard scientific notation, it can be rewritten as:
\[
5 \times 10^{-1}
\]

Thus:
\[
0.5 \times 10^4 = (5 \times 10^{-1}) \times 10^4 = 5 \times 10^{4 - 1} = 5 \times 10^3
\]

So the final answer in scientific notation is:
\[
5 \times 10^3
\]

The correct response is:
5×10³ (5 times 10 cubed)