Final answer:
The calculation involves dividing and multiplying to solve for the missing number in the equation. However, the resulting number does not match the provided answer choices, suggesting a potential error in the given information or the calculations performed.
Step-by-step explanation:
The question requires solving the equation 283 ÷ 3 × 4 = _ × 6 ÷ 2 using order of operations to find the missing number that would make both sides of the equation equal. To solve for the blank, start by simplifying the left side of the equation:
- First, divide 283 by 3 to get 94.333... (This can be rounded to 94 for the purpose of finding a matching answer choice).
- Then, multiply 94 by 4 to get 376.
The equation now looks like 376 = _ × 6 ÷ 2. To find the value of the blank, we need to make the right side of the equation equal to 376.
- Divide 376 by 6 to get 62.666... which rounds to 63 (since none of the answer choices are fractions, rounding is acceptable).
- Finally, multiply 63 by 2 to get 126.
Since 126 does not match any of the given answer choices, there may have been an error in the original question as presented, or in the calculation. Always double-check calculations and ensure the original question is accurate.