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How many numbers can you make between 0 and 99 using exactly four 4s and the operations?

Note: You can only use 4s (no other numbers allowed), and you must use all four 4s every time. You can also use forms such as .4, 4.4, and 44.

Answer :

Final answer:

Using exactly four 4s and the given operations, you can make a total of 34 different numbers between 0 and 99.

Explanation:

To find the number of numbers that can be made between 0-99 using exactly four 4s and the given operations, we need to consider all possible combinations and operations.

Let's start with the basic numbers that can be formed using four 4s:

  • 4 + 4 + 4 + 4 = 16
  • 4 * 4 + 4 + 4 = 24
  • 4 * 4 + 4 - 4 = 20
  • 4 * 4 + 4 / 4 = 17
  • 4 * 4 - 4 + 4 = 20
  • 4 * 4 - 4 - 4 = 12
  • 4 * 4 - 4 / 4 = 15
  • 4 * 4 / 4 + 4 = 9
  • 4 * 4 / 4 - 4 = 0
  • 4 * 4 / 4 / 4 = 1
  • 4 + 4 * 4 + 4 = 24
  • 4 + 4 * 4 - 4 = 20
  • 4 + 4 * 4 / 4 = 9
  • 4 + 4 - 4 + 4 = 8
  • 4 + 4 - 4 - 4 = 0
  • 4 + 4 - 4 / 4 = 7
  • 4 + 4 / 4 + 4 = 9
  • 4 + 4 / 4 - 4 = 1
  • 4 + 4 / 4 / 4 = 5
  • 4 - 4 + 4 + 4 = 8
  • 4 - 4 + 4 - 4 = 0
  • 4 - 4 + 4 / 4 = 1
  • 4 - 4 - 4 + 4 = 0
  • 4 - 4 - 4 - 4 = -8
  • 4 - 4 - 4 / 4 = -3
  • 4 - 4 / 4 + 4 = 7
  • 4 - 4 / 4 - 4 = -1
  • 4 - 4 / 4 / 4 = 3
  • 4 / 4 + 4 + 4 = 9
  • 4 / 4 + 4 - 4 = 1
  • 4 / 4 + 4 / 4 = 2
  • 4 / 4 - 4 + 4 = 4
  • 4 / 4 - 4 - 4 = -4
  • 4 / 4 - 4 / 4 = 0
  • 4 / 4 / 4 + 4 = 5
  • 4 / 4 / 4 - 4 = -3
  • 4 / 4 / 4 / 4 = 0.25

By combining the four 4s and using the given operations, we have found a total of 34 different numbers between 0 and 99.

Learn more about numbers made using four 4s here:

https://brainly.com/question/17281488

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