Evaluate 50 + 50 divided by 5 - 5!.

Step-by-step solution

1. 1

   Rank the operations. Factorial binds tightest — it is a unary operator attached to the $5$ — then multiplication and division, then addition and subtraction left to right. So $5!$ and $50 \div 5$ both resolve before anything is added or subtracted.

2. 2

   Compute the factorial.

   $5! = 5 \times 4 \times 3 \times 2 \times 1 = 120$

   This single term dominates the expression and is what makes the final answer negative.

3. 3

   Compute the division.

   $50 \div 5 = 10$

   Note the division applies only to the second $50$; reading the expression as $\tfrac{50+50}{5}$ would give $20$ instead and change the answer to $-100$.

4. 4

   Substitute and work left to right.

   $50 + 10 - 120 = 60 - 120 = -60$

5. 5

   Sanity-check the sign. The positive contributions total $60$ while the factorial removes $120$, so the result must be negative and of magnitude $60$ — consistent with $-60$.