Final answer:
The expressions provided are solved by using the order of operations and knowing that subtracting a negative number is the same as adding a positive. Upon solving, expression c. 2-(-3) has the greatest value, 5.
Step-by-step explanation:
In mathematics, the order of operations is key, as well as knowing that subtracting a negative number is equivalent to adding a positive. Basically if you reverse the sign. Let's decipher the given expressions.
a. -2-3, this implies you subtract 3 from -2 resulting in an answer of -5.
b. -2-(-3), the double negative turns to positive, essentially making the expression -2+3 giving 1 as result.
c. 2-(-3), similarly like in b, 2-(-3) turns to 2+3, giving the answer as 5.
Therefore, the expression with the greatest value is c. 2-(-3) as it yields 5 which is higher than the other results.
Learn more about Order of Operations