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

Question

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

−650
negative Start Fraction 6 over 50 End Fraction

−65
negative Start Fraction 6 over 5 End Fraction

−325
negative Start Fraction 3 over 25 End Fraction

35

Answer 1

To multiply \( -25 \) by \( 310 \):

1. First, we multiply the absolute values: \[ 25 \times 310 \] Calculate it step by step: \[ 25 \times 310 = 25 \times (300 + 10) = (25 \times 300) + (25 \times 10) = 7500 + 250 = 7750 \]

2. Now, apply the rule for multiplying signed numbers:

   • A negative number multiplied by a positive number results in a negative number: \[ -25 \times 310 = -7750 \]

Therefore, the answer in simplest form is: \[ \boxed{-7750} \]