First, we should follow the order of operations (PEMDAS)
- Parentheses and groups
- Exponents and radicals
- Multiplication
- Division
- Addition
- Subtractions
We need to solve what is inside the parentheses first:
(100–100) / (100–100)
(100–100) = 0
Now, we can substitute this 0 in for both (100–100)s.
0 / 0
This is a problem because you cannot divide something by 0. It just doesn’t work. You can’t do it.
You can’t split 1 cake into zero pieces: it’s either one piece, 2 half pieces, 3 third pieces. If it’s not there, it is zero whatever pieces. You can’t split the cake into pieces that don’t exist.
In math, we say that 0/0 is undefined.
Therefore, (100–100) / (100–100) = undefined
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