Final Answer:
The parentheses should be placed as follows: 100 - (3 x 6) / (5 - 4) to get 63.
To obtain 63 in the equation 100-3x6 5-4, parentheses are essential to prioritize the multiplication operation (3 x 6). By isolating the multiplication and carefully following the order of operations, the correct result is achieved through the steps: 100 - (3 x 6) / (5 - 4), leading to the final answer of 63.
Step-by-step explanation:
To achieve a result of 63 in the given equation 100-3x6 5-4, we need to carefully place the parentheses to control the order of operations. The parentheses should encapsulate the multiplication operation to ensure it is performed before any addition or subtraction. Therefore, the correct arrangement is 100 - (3 x 6) / (5 - 4).
In the expression 3 x 6, the multiplication should be calculated first, resulting in 18. Then, the subtraction inside the parentheses should be addressed: 5 - 4 equals 1. After that, the division operation is performed: 18 divided by 1 is still 18. Finally, subtracting 18 from 100 gives the desired outcome of 63.
Ensuring the correct order of operations by placing parentheses around the multiplication operation guarantees that the mathematical operations are executed in the intended sequence. Without parentheses, the equation would yield a different result as the default order of operations would be applied, potentially leading to an incorrect answer.