Use properties of operations and rules for multiplying signed numbers to multiply −25 by 310
. 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
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.
To multiply -25 by 310, follow these steps:
Step 1: Multiply the absolute values of the numbers: 25 x 310 = 7750.
Step 2: Determine the sign of the result. Since one of the numbers is negative (-25), the overall result will be negative.
Step 3: Write the answer in simplest form. The simplified expression is -7750.
Therefore, the answer to -25 multiplied by 310, in simplest form, is -7750.