Final answer:
Among the given options, expression A. 5/ ( 8 -8 ) is undefined because it involves division by zero. The other options are defined, as their computations do not involve division by zero.
Step-by-step explanation:
The student has asked which expression is undefined.
- A. 5/ ( 8 -8 )
- B. 0 ÷ 2 /3
- C. ( 11 - 11 ) /11
- D. ( 4 - 0 ) / - 4
The expression A. 5/ ( 8 -8 ) is undefined because the denominator equals zero, and division by zero is undefined in mathematics. The other expressions have non-zero denominators after performing the operations inside the parentheses, making them defined values.
For instance, in option B, 0 ÷ 2 /3 is equivalent to 0 since we are dividing zero by a non-zero number, which always results in zero. In option C, (11 - 11)/11 simplifies to 0/11, which is also defined and equals zero. Lastly, option D, (4 - 0)/-4, simplifies to 4/-4, which is a defined value and equals -1.