Which expression represents the quotient below?

4.6 x 10^5/2,300,000


A.

B.

C.

D.

1 answer

To simplify the expression \( \frac{4.6 \times 10^5}{2,300,000} \), we can rewrite \( 2,300,000 \) in scientific notation.

First, we note that:

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

Now, we can write the quotient as:

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

When dividing numbers in scientific notation, we divide the coefficients and subtract the exponents:

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

Calculating the coefficients:

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

Subtracting the exponents:

\[ 5 - 6 = -1 \]

Putting it all together, we have:

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

This can also be expressed in decimal form as:

\[ 0.2 \]

So, the expression that represents the quotient \( \frac{4.6 \times 10^5}{2,300,000} \) is:

\[ 2 \times 10^{-1} \text{ or } 0.2 \]

If you have multiple-choice answers (A, B, C, D), please provide those options for clarity. Otherwise, the final answer is \( 2 \times 10^{-1} \) or \( 0.2 \).