Use properties of operations and rules for multiplying signed numbers to multiply −25 by 310

. Write the answer in simplest form.(1 point)
Responses

−325
negative Start Fraction 3 over 25 End Fraction

−65
negative Start Fraction 6 over 5 End Fraction

−650
negative Start Fraction 6 over 50 End Fraction

35

1 answer

To multiply \(-25\) by \(310\), we can follow these steps:

  1. Multiply the absolute values: \[ 25 \times 310 = 7750 \]

  2. Determine the sign: Since we are multiplying a negative number (\(-25\)) by a positive number (\(310\)), the result will be negative.

Thus, the multiplication gives us: \[ -25 \times 310 = -7750 \]

Now comparing with the responses provided:

  • \(-325\)
  • \(-65\)
  • \(-650\)
  • \(35\)

None of the options match \(-7750\). Please verify the original problem or the response options provided.