Question

Calculate the quotient below and give your answer in scientific notation.

\[\large{\dfrac{3.8\times 10^{9}}{400}} =\ ?\]

Answer 1

To calculate the quotient \(\dfrac{3.8 \times 10^{9}}{400}\), we can break it down into two parts: the coefficient and the power of ten.

1. **Divide the coefficient**:
\[
\dfrac{3.8}{400} = 0.0095
\]

2. **Power of ten**:
\[
10^9
\]

So now we can combine these:
\[
0.0095 \times 10^{9}
\]

3. **Convert \(0.0095\) to scientific notation**:
\[
0.0095 = 9.5 \times 10^{-3}
\]

4. **Now substitute back into the expression**:
\[
0.0095 \times 10^{9} = (9.5 \times 10^{-3}) \times 10^{9}
\]

5. **Combine the powers of ten**:
\[
9.5 \times 10^{9 - 3} = 9.5 \times 10^{6}
\]

So the final answer in scientific notation is:
\[
\boxed{9.5 \times 10^{6}}
\]