What is the greatest possible product of any two numbers in this list? Explain your answer.
-3,-7,-15,6
I would multiply the two numbers greatest in magnitude as long as their product is positive. (-7)(-15) = + 105
If it had been -7 and +15, then the answer would have been negative, way to the left on the number line and therefore not greatest.
To find the greatest possible product of any two numbers in this list, we need to identify the two numbers with the largest absolute values. The absolute value of a number is its distance from zero on the number line.
First, let's sort the numbers in descending order:
-15, -7, -3, 6
The two numbers with the largest absolute values are -15 and 6. Now, we multiply these numbers to find the greatest possible product:
-15 * 6 = -90
Therefore, the greatest possible product of any two numbers in this list is -90.