Use properties of operations and rules for multiplying signed numbers to multiply −25 by 310
To multiply −25 by 310, we can follow the rule for multiplying signed numbers.
Step 1: Multiply the absolute values of the numbers - 25 and 310.
|-25| * |310| = 25 * 310 = 7750
Step 2: Determine the sign of the product.
To determine the sign, we use the rule that states that the product of two numbers with different signs is negative. Since −25 is negative and 310 is positive, the product will be negative.
Step 3: Hence, −25 multiplied by 310 equals −7750.
To multiply −25 by 310, you can follow these steps:
Step 1: Ignore the signs for now and multiply the absolute values of the numbers.
Absolute value of −25 = 25
25 × 310 = 7750
Step 2: Determine the sign of the result.
Since one of the numbers is negative, the result will be negative.
Step 3: Multiply the result from Step 1 by −1 to apply the negative sign.
−7750
Therefore, −25 multiplied by 310 equals −7750.