Question

Which expression is undefined?

a) (-7 - 0) ÷ 14
b) 7/0
c) -0/2 ÷ 10
d) (4 - 4) ÷ 18

Answer 1

The expression that is undefined is 7/0 because division by zero is undefined in mathematics.

Step-by-step explanation:

The student's question asks, "Which expression is undefined?" The key to answering this question is understanding that division by zero is undefined in mathematics. Looking at the options provided:

• a) (-7 - 0) ÷ 14 is defined, resulting in -7/14 or -1/2.
• b) 7/0 is undefined, as you cannot divide by zero.
• c) -0/2 ÷ 10 is defined, because -0/2 equals 0 and 0 divided by any non-zero number is still 0.
• d) (4 - 4) ÷ 18 is defined, resulting in 0/18 or simply 0.

Therefore, the expression that is undefined is 7/0.

Answer 2

Option b) 7/0 is the undefined expression because division by zero is not possible in mathematics.

Step-by-step explanation:

The expression 7/0 is undefined because division by zero is not possible in mathematics. This is because there is no number that can be multiplied by 0 to get 7 (or any other non-zero number).

Therefore, option b) 7/0 is the correct answer to the student's question. The other expressions, a) (-7 - 0) ÷ 14, c) -0/2 ÷ 10, and d) (4 - 4) ÷ 18, are defined and their results would be -0.5, 0, and 0 respectively.