Question

Carry out the operations of evaluate by hand on the input expression ( ( (60 + 40)/50) * (16 - 4) ). Draw the two stacks after each push or pop.

Answer 1

To evaluate (((60 + 40)/50) * (16 - 4)), perform the operations in the correct order: parentheses, division/multiplication, and addition/subtraction. The final answer is 24.

Step-by-step explanation:

To evaluate the expression (((60 + 40)/50) * (16 - 4)), we need to follow the order of operations, which is parentheses, multiplication/division from left to right, and addition/subtraction from left to right. Let's break it down step by step:

1. First, evaluate the expression inside the innermost parentheses: (60 + 40) = 100.
2. Next, divide 100 by 50, giving us 2.
3. Lastly, multiply 2 by the difference between 16 and 4, which is 12. So, the final answer is 2 * 12 = 24.

After each push or pop, the stacks would look like this:

Step 1: (60 + 40) gives 100

Step 2: 100/50 gives 2

Step 3: 2 * (16 - 4) gives 24