The value of 31096÷(2704÷2)+0.6738+0.63+0.059−0.79 is equal to :

Question

Accepted Answer

To determine why Option 3 is the correct answer for the given mathematical expression, let's break down the calculation step by step:

The expression to evaluate is:  
$$ 31096 \div \left(\frac{2704}{2}\right) + 0.6738 + 0.63 + 0.059 - 0.79 $$

1. **Calculate the division inside the parentheses:**
   $$ \frac{2704}{2} = 1352 $$

2. **Perform the division of 31096 by the result from step 1:**
   $$ 31096 \div 1352 = 23 $$

3. **Add the remaining numbers in the expression:**
   $$ 23 + 0.6738 + 0.63 + 0.059 - 0.79 $$

4. **Calculate the sum of the decimal numbers:**
   $$ 0.6738 + 0.63 + 0.059 = 1.3628 $$

5. **Subtract 0.79 from the result of step 4:**
   $$ 1.3628 - 0.79 = 0.5728 $$

6. **Add the result from step 2 to the result from step 5:**
   $$ 23 + 0.5728 = 23.5728 $$

Thus, the final result of the expression is 23.5728, which corresponds to Option 3.

**Explanation of why other options are incorrect:**

- **Option 1: 24.5728**
  - This option is incorrect because it suggests a result that is exactly 1 unit higher than the correct answer. The calculations clearly show that the correct sum is 23.5728, not 24.5728.

- **Option 2: 23.6728**
  - This option is incorrect because it adds an extra 0.1 to the correct result. The precise calculation of the expression yields 23.5728, not 23.6728.

- **Option 4: 24.6728**
  - This option is incorrect because it is both 1 unit higher and includes an additional 0.1 compared to the correct answer. The correct calculation results in 23.5728, not 24.6728.

In conclusion, Option 3 is the correct answer because it accurately reflects the result of the given mathematical expression.