Question

Insert parentheses and brackets to make the equation true. (2 + 3 × 4² - 11 × 2 = 270)

a. (2 + (3 × [4²]) - (11 × 2) = 270)
b. (2 + 3 × [4² - 11] × 2 = 270)
c. (2 + (3 × 4)² - 11 × 2 = 270)
d. (2 + 3 × (4² - 11 × 2) = 270)

Answer 1

To make the equation true, parentheses and brackets should be inserted following the order of operations. The correct answer is (2 + 3 × (4² - 11 × 2) = 270).

Step-by-step explanation:

The correct answer is d. (2 + 3 × (4² - 11 × 2) = 270).

To make the equation true, we need to apply the order of operations (PEMDAS/BODMAS) and insert parentheses and brackets.

Step-by-step, we can solve the equation as follows:

1. First, calculate the exponents inside the parentheses and brackets: 4² = 16 and 11 × 2 = 22.
2. Then, multiply the resulting values: 16 - 22 = -6.
3. Next, multiply the -6 by 3: -6 × 3 = -18.
4. Finally, add 2 and -18: 2 + (-18) = -16.

Therefore, the equation becomes: (2 + 3 × (4² - 11 × 2) = 2 + 3 × (-6) = 2 - 18 = -16, which is not equal to 270. Hence, the equation is not true.