Solve the Expression: Evaluate 17 - (215 - (314 + 95))

Question

$17-(215-(314+95))=\text{?}$

00:00 Solve

00:03 Negative times positive is always negative

00:08 Negative times negative is always positive

00:18 Let's use the distributive law and split 215 into 200 and 15

00:27 Let's use the distributive law and split 314 into 300 and 14

00:34 Let's use the commutative law and arrange the exercise for easier solving

00:53 Let's solve one operation at a time

01:15 Let's use the distributive law and split 14 into 10 and 4

01:19 Let's use the distributive law and split 95 into 90 and 5

01:29 Let's solve one operation at a time

01:41 And this is the solution to the question

To solve this problem, we'll simplify the expression $17-(215-(314+95))$ step-by-step:

Step 1: Solve the innermost parentheses. Calculate $314 + 95 = 409$ .
Step 2: Substitute back into the expression. We now have $17-(215-409)$ .
Step 3: Simplify the subtraction inside the parentheses. Compute $215 - 409 = -194$ .
Step 4: Substitute back into the expression. We have $17 - (-194)$ .
Step 5: Simplify the subtraction, remembering that subtracting a negative number is equivalent to adding a positive number. So, $17 - (-194) = 17 + 194$ .
Step 6: Perform the final addition. Calculate $17 + 194 = 211$ .

Therefore, the solution to the problem is $211$ .

$211$