Question
Which expression represents the quotient below? 4.6 * 10^5/2,300,000
Answers
GPT-4o mini
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:
\[
\boxed{2 \times 10^{-1}}
\]
\[
2,300,000 = 2.3 \times 10^6
\]
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:
\[
\boxed{2 \times 10^{-1}}
\]