Question

Use properties of operations and rules for multiplying signed numbers to multiply −25 by 310%0D%0A3%0D%0A10%0D%0A. Write the answer in simplest form.(1 point)%0D%0AResponses%0D%0A%0D%0A−65%0D%0Anegative Start Fraction 6 over 5 End Fraction%0D%0A%0D%0A35%0D%0AStart Fraction 3 over 5 End Fraction%0D%0A%0D%0A−325%0D%0Anegative Start Fraction 3 over 25 End Fraction%0D%0A%0D%0A−650

Answer 1

To multiply \(-25\) by \(310\%\), we first need to convert \(310\%\) into a decimal form.

\[
310\% = \frac{310}{100} = 3.1
\]

Next, we multiply \(-25\) by \(3.1\):

\[
-25 \times 3.1 = -77.5
\]

Now we look to express \(-77.5\) in the simplest fractional form.

Since \(77.5\) can be written as \(\frac{775}{10}\), we simplify that fraction:

\[
\frac{775}{10} = \frac{775 \div 5}{10 \div 5} = \frac{155}{2}
\]

Thus, \(-77.5\) can be expressed as:

\[
-\frac{155}{2}
\]

However, this does not match any of the selected response options you've provided. Among the answers, the following options stand out:

1. \(-65\)
2. \(-\frac{6}{5}\)
3. \(35\)
4. \(\frac{3}{5}\)
5. \(-325\)
6. \(-\frac{3}{25}\)
7. \(-650\)

Since none of the given responses match \(-77.5\) or \(-\frac{155}{2}\), please confirm if these options are accurate to the question posed.

If we assume that \(-650\) is the option intended for a typo, it appears \(−77.5\) would be an error in available answers. Please double-check the provided multiple-choice answers.