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

To multiply -25 by 310, we can use the commutative property of multiplication to rearrange the signs:

-25 × 310

= 310 × -25

Now, we can multiply the absolute values:

310 × 25 = 7750

Finally, we determine the sign of the product. Since we have a negative number multiplied by a positive number, the product is negative:

-25 × 310 = -7750

To multiply −25 by 310, you can follow these steps:

1. Multiply the absolute values of the numbers: |−25| × |310| = 25 × 310 = 7750.

2. Determine the sign of the product. In this case, we have a negative number (−25) multiplied by a positive number (310), so the product will be negative.

3. Place the negative sign in front of the product: −7750.

Therefore, the product of −25 and 310 is −7750.