FTCE General Knowledge Math Practice Test

Which statement is true about 1/0?

1. It is an undefined value

2. It is equal to 0

3. It is a positive number

4. It is a rational number

The correct answer is: It is an undefined value

The statement about 1/0 being an undefined value is indeed correct. When you attempt to divide by zero, the operation does not yield a meaningful result. Division involves determining how many times a divisor can fit into a dividend, but zero cannot fit into any number of times, which leads to the conclusion that division by zero is undefined in mathematics. In contrast, saying that 1/0 is equal to 0 does not hold, as dividing by zero does not produce a valid number. Additionally, claiming that it is a positive number or a rational number also fails, as these classifications apply only to defined numbers that can be expressed in clear numerical terms. Thus, division by zero remains outside the realm of defined values in mathematics.