4-(-5)+|2-19|-(-6)-4
Show steps and answers this is algebra 1
To simplify the expression 4-(-5)+|2-19|-(-6)-4, we need to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) and perform the operations step by step.
Step 1: Deal with the parentheses first.
There are two sets of parentheses in the expression.
-(-5) = 5
|2-19| = |-17| = 17
After substituting these values, the expression becomes 4 - 5 + 17 - (-6) - 4
Step 2: Perform subtraction in order from left to right.
4 - 5 = -1
-1 + 17 = 16
The expression now becomes 16 - (-6) - 4
Step 3: Deal with the remaining subtraction.
16 - (-6) = 16 + 6 = 22
The expression now becomes 22 - 4
Step 4: Perform the final subtraction.
22 - 4 = 18
Therefore, the solution to the expression 4-(-5)+|2-19|-(-6)-4 is 18.
To simplify the given expression step-by-step:
Step 1: Simplify -(-5)
-(-5) is the same as 5 since a double negative cancels out.
So, 4 - (-5) + |2 - 19| - (-6) - 4 becomes:
4 + 5 + |2 - 19| + 6 - 4
Step 2: Calculate the absolute value |2 - 19|
|2 - 19| is the absolute value of the difference between 2 and 19, which is |-17|. The absolute value of -17 is 17, since absolute value is the distance from zero.
So, the expression becomes:
4 + 5 + 17 + 6 - 4
Step 3: Combine like terms
Combine the terms with addition and subtraction operations:
4 + 5 + 17 + 6 - 4 = 36
Therefore, the simplified expression is 36.