ii) $$ |2.35+\{12.099+(1.45-2.1 imes 1.23)\}| $$

Question

ii) $$ |2.35+\{12.099+(1.45-2.1 	imes 1.23)\}| $$

UpStudy AI · Accepted Answer

To solve the expression:

$$
\left| 2.35 + \left\{ 12.099 + \left( 1.45 - 2.1 \times 1.23 \right) \right\} \right|
$$

Let's break it down step by step following the order of operations (PEMDAS/BODMAS):

1. **Calculate the multiplication inside the innermost parentheses:**
   $$
   2.1 \times 1.23 = 2.583
   $$

2. **Subtract the result from 1.45:**
   $$
   1.45 - 2.583 = -1.133
   $$

3. **Add this result to 12.099:**
   $$
   12.099 + (-1.133) = 10.966
   $$

4. **Add 2.35 to the previous result:**
   $$
   2.35 + 10.966 = 13.316
   $$

5. **Take the absolute value:**
   $$
   \left| 13.316 \right| = 13.316
   $$

**Final Answer:** $$ 13.316 $$
The final answer is 13.316.

ii) \( |2.35+\{12.099+(1.45-2.1 \times 1.23)\}| \)