Solve the Nested Expression: Breaking Down 304 - (94 + (45 - (9 - 35)))

Question

$304-(94+(45-(9-35)))=\text{?}$

00:00 Solve

00:03 Always solve parentheses first, even within parentheses

00:10 Note, negative times positive always equals negative

00:15 Note, negative times negative always equals positive

00:34 Note, negative times positive always equals negative

00:46 Note, negative times negative always equals positive

01:01 Solve from left to right, one operation at a time

01:22 Break down 71 into 70 and 1, so it will be easier to solve

01:29 This is the solution to the question

To solve the expression $304-(94+(45-(9-35)))$ , we will follow these steps:

Step 1: Begin with the innermost parentheses: $(9-35)$ .
Calculation: $9 - 35 = -26$ .
Step 2: Substitute this result into the next part: $(45 - (-26))$ .
Calculation: $45 + 26 = 71$ (Recall that subtracting a negative number is equivalent to adding its absolute value).
Step 3: Substitute this result back into the expression: $94 + 71$ .
Calculation: $94 + 71 = 165$ .
Step 4: Substitute this result into the outermost expression: $304 - 165$ .
Calculation: $304 - 165 = 139$ .

Therefore, the solution to the problem $304-(94+(45-(9-35)))$ is $139$ .

139