The value of $52 imes3 \div 4 + \sqrt{441}\div7 imes3+5-32\div8 imes12$ is:

Q: The value of $52 \times3 \div 4 + \sqrt{441}\div7\times3+5-32\div8\times12$ is:

To determine the value of the expression $52 \times 3 \div 4 + \sqrt{441} \div 7 \times 3 + 5 - 32 \div 8 \times 12$, we will evaluate it step by step, following the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). 1. **Evaluate $52 \times 3 \div 4$:** - First, calculate $52 \times 3 = 156$. - Then, divide by 4: $156 \div 4 = 39$. 2. **Evaluate $\sqrt{441} \div 7 \times 3$:** - Calculate the square root: $\sqrt{441} = 21$. - Divide by 7: $21 \div 7 = 3$. - Multiply by 3: $3 \times 3 = 9$. 3. **Evaluate $32 \div 8 \times 12$:** - First, divide: $32 \div 8 = 4$. - Then, multiply by 12: $4 \times 12 = 48$. 4. **Combine all parts of the expression:** - Start with the results from steps 1 and 2: $39 + 9 = 48$. - Add 5: $48 + 5 = 53$. - Subtract the result from step 3: $53 - 48 = 5$. Thus, the value of the expression is 5, which corresponds to Option 2. **Explanation of Incorrect Options:** - **Option 1 (0):** This option is incorrect because the calculations clearly show that the final result is 5, not 0. There is no step in the calculation that results in a value of 0. - **Option 3 (15):** This option is incorrect because the step-by-step evaluation of the expression does not yield 15 at any point. The correct calculations lead to the result of 5. - **Option 4 (21):** This option is incorrect because the calculations do not support a result of 21. The correct evaluation of the expression results in 5. Therefore, the correct answer is indeed Option 2, which is 5.

Question

The value of $52 	imes3 \div 4 + \sqrt{441}\div7	imes3+5-32\div8	imes12$ is:

Accepted Answer

To determine the value of the expression $52 \times 3 \div 4 + \sqrt{441} \div 7 \times 3 + 5 - 32 \div 8 \times 12$, we will evaluate it step by step, following the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. **Evaluate $52 \times 3 \div 4$:**
   - First, calculate $52 \times 3 = 156$.
   - Then, divide by 4: $156 \div 4 = 39$.

2. **Evaluate $\sqrt{441} \div 7 \times 3$:**
   - Calculate the square root: $\sqrt{441} = 21$.
   - Divide by 7: $21 \div 7 = 3$.
   - Multiply by 3: $3 \times 3 = 9$.

3. **Evaluate $32 \div 8 \times 12$:**
   - First, divide: $32 \div 8 = 4$.
   - Then, multiply by 12: $4 \times 12 = 48$.

4. **Combine all parts of the expression:**
   - Start with the results from steps 1 and 2: $39 + 9 = 48$.
   - Add 5: $48 + 5 = 53$.
   - Subtract the result from step 3: $53 - 48 = 5$.

Thus, the value of the expression is 5, which corresponds to Option 2.

**Explanation of Incorrect Options:**

- **Option 1 (0):** This option is incorrect because the calculations clearly show that the final result is 5, not 0. There is no step in the calculation that results in a value of 0.

- **Option 3 (15):** This option is incorrect because the step-by-step evaluation of the expression does not yield 15 at any point. The correct calculations lead to the result of 5.

- **Option 4 (21):** This option is incorrect because the calculations do not support a result of 21. The correct evaluation of the expression results in 5.

Therefore, the correct answer is indeed Option 2, which is 5.