Solve the Nested Arithmetic: What's the Result of 12 - (75 - (48 + 39))?

Question

$12-(75-(48+39))=\text{?}$

00:00 Solve

00:03 Always solve parentheses first, even within parentheses

00:10 Note, negative times positive is always negative

00:27 Note, negative times negative is always positive

00:44 We'll use the commutative law and arrange the exercise for easier solving

00:59 We'll solve from left to right, one operation at a time

01:15 And this is the solution to the question

To solve this problem, we'll follow these steps:

Let's perform these calculations:

Step 1: Calculate the innermost expression: $48 + 39$ . $48 + 39 = 87$ .

Step 2: Substitute back into the larger expression: $75 - 87$ . This results in $75 - 87 = -12$ .

Step 3: Substitute this result into the outer expression: $12 - (-12)$ . Since subtracting a negative is equivalent to addition: $12 + 12 = 24$ .

Therefore, the solution to the problem is $24$ .