Use properties of operations and rules for multiplying signed numbers to multiply −25 by 310
. Write the answer in simplest form.
To multiply −25 by 310, we can use the commutative property of multiplication to write it as 310 multiplied by −25.
Next, we can multiply the absolute values of the numbers, which gives us 310 times 25.
Multiplying these two numbers, we get 7750.
Lastly, we determine the sign of the product. Since we have one negative factor, the product is negative.
So the final answer is −7750, in simplest form.
To multiply −25 by 310, we can follow these steps using the properties and rules for multiplying signed numbers:
Step 1: Ignore the signs for now and multiply the absolute values of the numbers.
- Multiply 25 by 310: 25 * 310 = 7750
Step 2: Determine the sign of the product.
- When multiplying a positive number (310) by a negative number (−25), the result will always be negative.
Step 3: Write the product with the determined sign.
- The product of −25 and 310 is −7750.
Therefore, by using the properties of operations and rules for multiplying signed numbers, the product of −25 and 310 is −7750 in simplest form.