The value of `(-45 + 7 xx 23 -(247 -: 13) -11) -: 2` is

Options

A. 86
B. `-14`
C. `-47`
D. 43

Answer

To solve the expression `(-45 + 7 × 23 - (247 ÷ 13) - 11) ÷ 2`, we will follow the order of operations, often remembered by the acronym PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution:

1. **Evaluate the Division inside the Bracket:**
- Calculate \( 247 ÷ 13 \).
- \( 247 ÷ 13 = 19 \) (since \( 13 \times 19 = 247 \)).

**Expression now:**
\[ (-45 + 7 × 23 - 19 - 11) ÷ 2 \]

**Hint:** Always start with the operations inside the brackets.

2. **Evaluate the Multiplication:**
- Calculate \( 7 × 23 \).
- \( 7 × 23 = 161 \).

**Expression now:**
\[ (-45 + 161 - 19 - 11) ÷ 2 \]

**Hint:** Perform multiplication before addition and subtraction.

3. **Combine the Terms inside the Bracket:**
- Now, simplify the expression inside the brackets:
- Start with \( -45 + 161 \).
- \( -45 + 161 = 116 \).
- Now, subtract \( 19 \): \( 116 - 19 = 97 \).
- Finally, subtract \( 11 \): \( 97 - 11 = 86 \).

**Expression now:**
\[ 86 ÷ 2 \]

**Hint:** Combine terms step by step, keeping track of positive and negative signs.

4. **Final Division:**
- Now divide \( 86 ÷ 2 \).
- \( 86 ÷ 2 = 43 \).

**Final Answer:**
\[ 43 \]

### Summary of Steps:
1. Calculate \( 247 ÷ 13 = 19 \).
2. Calculate \( 7 × 23 = 161 \).
3. Combine: \( -45 + 161 = 116 \), then \( 116 - 19 = 97 \), and finally \( 97 - 11 = 86 \).
4. Divide \( 86 ÷ 2 = 43 \).