Final answer:
To determine the number of different numbers that can be made by combining four 4s using just the + sign, we have a total of 24 combinations. Examples of the different numbers that can be made include 16, 8, 0, 44, -8, 12, -12, 24, 20, 60, and -20.
Step-by-step explanation:
To determine the number of different numbers that can be made by combining four 4s using just the + sign, we need to count all the possible combinations. Since we are using four 4s, we have a total of 4! (four-factorial), which is equal to 4 x 3 x 2 x 1 = 24 combinations. Here are all the different numbers that can be made:
4 + 4 + 4 + 4 = 16
4 + 4 + 4 - 4 = 8
4 + 4 - 4 + 4 = 8
4 + 4 - 4 - 4 = 0
4 - 4 + 4 + 4 = 8
4 - 4 + 4 - 4 = 0
4 - 4 - 4 + 4 = 0
4 - 4 - 4 - 4 = -8
4 + 4 + 4 x 4 = 44
4 + 4 - 4 x 4 = -8
4 - 4 + 4 x 4 = 12
4 - 4 - 4 x 4 = -12
4 x 4 + 4 + 4 = 24
4 x 4 + 4 - 4 = 20
4 x 4 - 4 + 4 = 20
4 x 4 - 4 - 4 = 12
4 x 4 x 4 - 4 = 60
4 x 4 - 4 x 4 = 0
4 - 4 x 4 + 4 = 0
4 - 4 x 4 - 4 = -20
4 x (4 + 4) - 4 = 20
4 x (4 - 4) + 4 = 8
4 - 4 x (4 + 4) = -28
(4 + 4) x 4 - 4 = 28
(4 + 4) x 4 + 4 = 36
(4 - 4) x 4 + 4 = 0
(4 - 4) x (4 + 4) = 0
So, by combining four 4s using only the + sign, we can make a total of 24 different numbers.