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

−6/50
negative Start Fraction 6 over 50 End Fraction

3/5
Start Fraction 3 over 5 End Fraction

−6/5
negative Start Fraction 6 over 5 End Fraction

−3 2/5

Answer 1

To multiply −25 by 310, we can use the commutative property of multiplication to rearrange the order of the factors:

−25 * 310 = 310 * −25

Now, we can use the distributive property to simplify the multiplication:

310 * −25 = 310 * (−5 * 5) = (310 * −5) * 5

Next, we use the associative property to simplify the multiplication:

(310 * −5) * 5 = −1550 * 5

Now, we can multiply the absolute values of the numbers and determine the sign of the product based on the rules for multiplying signed numbers:

−1550 * 5 = −(1550 * 5) = −(7750)

Therefore, −25 multiplied by 310 is equal to −7750.