Question

Name the rational numbers from the list below.
negative 3​, 0​, 69​, 2.69​, StartRoot 8 EndRoot​, StartRoot 4 EndRoot​, 1one sixth
​,minusStartFraction 13 Over 2 EndFraction
​, 1.1919919991...
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Part 1
What are the rational numbers​? Select all that apply.

Answer 1

To identify rational numbers from the given list, we start with the definition of a rational number: a number that can be expressed as the quotient of two integers (i.e., a fraction where both the numerator and the denominator are integers and the denominator is not zero).

Let's analyze the list:

1. **Negative 3** - Rational (can be written as -3/1)
2. **0** - Rational (can be written as 0/1)
3. **69** - Rational (can be written as 69/1)
4. **2.69** - Rational (can be expressed as 269/100)
5. **√8** - Not rational (approximately 2.828, and it cannot be expressed as a fraction of two integers)
6. **√4** - Rational (equal to 2, which can be expressed as 2/1)
7. **1 one sixth** - Rational (can be expressed as 7/6)
8. **−(13/2)** - Rational (already in fraction form)
9. **1.1919919991...** - Not rational (this is a non-terminating, non-repeating decimal)

**Conclusion: The rational numbers from the list are:**

- Negative 3
- 0
- 69
- 2.69
- √4
- 1 one sixth
- −(13/2)