Which expression represents the quotient below? 4.6 * 10^5/2,300,000

1 answer

To simplify the expression \( \frac{4.6 \times 10^5}{2,300,000} \), we first express \(2,300,000\) in scientific notation:

\[ 2,300,000 = 2.3 \times 10^6 \]

Now we can rewrite the original expression as:

\[ \frac{4.6 \times 10^5}{2.3 \times 10^6} \]

Next, we can separate the coefficients and the powers of ten:

\[ \frac{4.6}{2.3} \times \frac{10^5}{10^6} \]

Calculating \( \frac{4.6}{2.3} \):

\[ \frac{4.6}{2.3} = 2 \]

Next, we calculate \( \frac{10^5}{10^6} \):

\[ \frac{10^5}{10^6} = 10^{5-6} = 10^{-1} \]

Combining these results, we have:

\[ 2 \times 10^{-1} \]

Thus, the expression \( \frac{4.6 \times 10^5}{2,300,000} \) simplifies to:

\[ 2 \times 10^{-1} \]

In conclusion, the expression that represents the quotient is:

\[ \boxed{2 \times 10^{-1}} \]