Concept:Order of Operations (BODMAS/PEMDAS) for simplifying mathematical expressions.
Explanation:To solve this, we follow the BODMAS rule, which stands for Brackets, Orders (powers and roots), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
Step 1: Simplify the expression inside the innermost bracket first.
We have
48÷6+4×3−(−6).
First, perform division and multiplication:
48÷6=8 and
4×3=12.
So, the expression becomes
8+12−(−6).
Next, handle the subtraction of a negative number, which is equivalent to addition:
−(−6)=+6.
The expression is now
8+12+6.
Perform addition:
8+12=20, and
20+6=26.
So, the value inside the curly bracket is
26.
Step 2: Now substitute this value back into the main expression.
We have
[124−26].
Step 3: Perform the subtraction.
124−26=98.
Answer:98
The correct option is C.