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How many different numbers can you make by combining four 4s using just the + sign?

User Lytesha
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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.

User LightDye
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