Question

Evaluate the expression. $$ 2-(-4)-7 $$

Short answer

Therefore, the evaluation of the expression \(2-(-4)-7\) is -1.

Step-by-step solution

Identify the Negative Operation

In the expression, \[2-(-4)-7\], there is a term, -(-4) which means we are subtracting a negative number. From the rules of mathematics, we know that 'subtracting a negative' is the same as 'adding a positive'. So, -(-4) is equal to +4.

Substitute and Simplify

Replace -(-4) with +4 in the expression. So the expression becomes \[2+4-7\]. Now follow the rule of operations (also known as BIDMAS/BODMAS/PEDMAS where the operations addition and subtraction must be carried out from left to right).

Perform the Operations

Perform the addition operation first: 2+4 becomes 6. Then, substitute it in the expression. The expression now is \[6-7\]. Now, subtract 7 from 6 which yields -1.