Question

Which expressions of the division of integers will result in a rational number?

Select all that apply.

Responses
negative 2 over 0
0 sixths
negative 5 seventh

4/0

Answer 1

To determine which expressions of the division of integers will result in a rational number, we need to analyze each option:

1. **negative 2 over 0**: This is -2/0. Division by zero is undefined, so this does not result in a rational number.

2. **0 sixths**: This is 0/6. Any number divided by a non-zero integer is considered a rational number. Since this equals 0, it is a rational number.

3. **negative 5 seventh**: This is -5/7. Negative five divided by seven is a valid division since the denominator is not zero, and it results in a rational number.

4. **4/0**: Similar to the first option, this involves division by zero, which is undefined. Thus, it does not result in a rational number.

Based on this analysis, the expressions that result in rational numbers are:

- **0 sixths (0/6)**
- **negative 5 seventh (-5/7)**

So, select: **0 sixths** and **negative 5 seventh**.