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What does the definition of a$b$c mean?
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We are given the following definition.
Substitute values
- (- a)=a
a-(- b)=a+b
Add and subtract terms
The agreed order of operations tells us, that it is -9.
Back to our question. How do we interpret the leading negative in -2$(-4)$5?
Since this is a newly introduced operation, there is no agreement to apply. In our solution above, we substituted a=-2, b=-4 and c=5 to find -2$(-4)$5. This assumes that we used the second interpretation. Let's see the result using the first interpretation. In this case we need to substitute a=2, b=-4 and c=5.
a-(- b)=a+b
Add and subtract terms
Put minus sign in numerator
- (- a)=a