simplify (4 - 5) - (13 - 18 + 2) is?
Understand the Problem
The question is asking us to simplify the expression (4 - 5) - (13 - 18 + 2). We will first simplify the expressions inside the parentheses and then perform the subtraction.
Answer
$2$
Answer for screen readers
The final answer is $2$.
Steps to Solve
- Simplify the first parentheses
First, simplify the expression inside the first parentheses: $$ 4 - 5 = -1 $$
- Simplify the second parentheses
Next, simplify the expression inside the second parentheses: $$ 13 - 18 + 2 $$ First, solve $13 - 18 = -5$, then add $2$: $$ -5 + 2 = -3 $$
- Combine the results
Now, combine the results from the two parentheses: $$ (-1) - (-3) $$ This is the same as: $$ -1 + 3 $$
- Final simplification
Now, simplify the last expression: $$ -1 + 3 = 2 $$
The final answer is $2$.
More Information
The expression involves basic arithmetic operations, specifically subtraction and addition. It shows how careful simplification of each part helps in arriving at the correct final result.
Tips
- A common mistake is not correctly simplifying the expressions inside the parentheses. Always ensure to do each operation step-by-step to avoid errors.
- Another mistake could be misinterpreting the double negative in the last step. Remember that subtracting a negative is equivalent to addition.
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