The value of
$[(-4) + 2] imes (-3) – (-3) [(-3) imes (-7) – 8] + (4) [(-48) \div 6]$
is

Q: The value of $[(-4) + 2] \times (-3) – (-3) [(-3) \times (-7) – 8] + (4) [(-48) \div 6]$ is

To determine the value of the expression $[(-4) + 2] \times (-3) – (-3) [(-3) \times (-7) – 8] + (4) [(-48) \div 6]$, we will evaluate it step by step: 1. **Evaluate the expression inside the first set of brackets:** \[ (-4) + 2 = -2 \] 2. **Multiply the result by $-3$:** \[ (-2) \times (-3) = 6 \] 3. **Evaluate the expression inside the second set of brackets:** \[ (-3) \times (-7) = 21 \] \[ 21 - 8 = 13 \] 4. **Multiply the result by $-3$:** \[ (-3) \times 13 = -39 \] 5. **Evaluate the expression inside the third set of brackets:** \[ (-48) \div 6 = -8 \] 6. **Multiply the result by $4$:** \[ 4 \times (-8) = -32 \] 7. **Combine all parts of the expression:** \[ 6 - (-39) + (-32) \] 8. **Simplify the expression:** \[ 6 + 39 - 32 = 13 \] Thus, the value of the expression is $13$, which corresponds to Option 3. **Explanation for why each option is incorrect:** - **Option 1 (9):** This option is incorrect because the calculations show that the final result is $13$, not $9$. - **Option 2 (-11):** This option is incorrect because the calculations show that the final result is $13$, not $-11$. - **Option 4 (-16):** This option is incorrect because the calculations show that the final result is $13$, not $-16$. Therefore, the correct answer is indeed Option 3, as the calculations consistently lead to the value $13$.

Question

The value of 
$[(-4) + 2] 	imes (-3) – (-3) [(-3) 	imes (-7) – 8] + (4) [(-48) \div 6]$
is

Accepted Answer

To determine the value of the expression $[(-4) + 2] \times (-3) – (-3) [(-3) \times (-7) – 8] + (4) [(-48) \div 6]$, we will evaluate it step by step:

1. **Evaluate the expression inside the first set of brackets:**
   $$
   (-4) + 2 = -2
   $$

2. **Multiply the result by $-3$:**
   $$
   (-2) \times (-3) = 6
   $$

3. **Evaluate the expression inside the second set of brackets:**
   $$
   (-3) \times (-7) = 21
   $$
   $$
   21 - 8 = 13
   $$

4. **Multiply the result by $-3$:**
   $$
   (-3) \times 13 = -39
   $$

5. **Evaluate the expression inside the third set of brackets:**
   $$
   (-48) \div 6 = -8
   $$

6. **Multiply the result by $4$:**
   $$
   4 \times (-8) = -32
   $$

7. **Combine all parts of the expression:**
   $$
   6 - (-39) + (-32)
   $$

8. **Simplify the expression:**
   $$
   6 + 39 - 32 = 13
   $$

Thus, the value of the expression is $13$, which corresponds to Option 3.

**Explanation for why each option is incorrect:**

- **Option 1 (9):** This option is incorrect because the calculations show that the final result is $13$, not $9$.

- **Option 2 (-11):** This option is incorrect because the calculations show that the final result is $13$, not $-11$.

- **Option 4 (-16):** This option is incorrect because the calculations show that the final result is $13$, not $-16$.

Therefore, the correct answer is indeed Option 3, as the calculations consistently lead to the value $13$.