Among all pairs of numbers whose difference is 14 , find a pair whose product is as small as possible. What is the minimum product?
The pair of numbers whose difference is 14 and whose product is as small as possible is (Use a comma to separate answers.)
The minimum product is
Answer
Final Answer: The pair of numbers whose difference is 14 and whose product is as small as possible is (-7, 7). The minimum product is \(\boxed{-49}\).
Step 1 ：The product of two numbers is smallest when the numbers are as close to each other as possible. In this case, the difference between the two numbers is fixed at 14. Therefore, the two numbers should be -7 and 7, because -7 and 7 are as close to each other as possible given the constraint that their difference must be 14.
Step 2 ：The pair of numbers whose difference is 14 and whose product is as small as possible is (-7, 7).
Step 3 ：The minimum product is \(-49\).
Step 4 ：Final Answer: The pair of numbers whose difference is 14 and whose product is as small as possible is (-7, 7). The minimum product is \(\boxed{-49}\).
