Final answer:
The difference negative 6 minus (11) minus 17 simplifies to negative 17 minus negative 17, which equals 0, as equal and opposite numbers cancel each other out.
Step-by-step explanation:
The difference negative 6 minus (11) –17 can be calculated step-by-step by first understanding that in subtraction, you change the sign of the number being subtracted and then follow the addition rules. So, when you see a minus sign before a parenthesis, you change the sign of each number inside the parenthesis when subtracting.
Step 1: Change the sign of each number inside the parenthesis due to subtraction.
Negative 6 minus (11) turns into negative 6 minus 11 which is negative 6 - 11.
Step 2: Combine negative 6 and negative 11, following the rule that when two negative numbers add, the answer has a negative sign.
Negative 6 - 11 equals to negative 6 plus negative 11, which is negative 17.
Step 3: Now, subtract negative 17 from the previous result.
Negative 17 minus negative 17 turns into negative 17 plus positive 17 according to the subtraction rule, which results in 0 since they are equal and opposite numbers.