Question

Select all examples of rational numbers.
√2
1 12 2
0.235
3.141592...
2.5

Answer 1

Select all examples of rational numbers.
√2
1/2
0.235
3.141592...
2.5

Answer 2

Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Let's analyze each option:

1. **√2** - This is an irrational number because it cannot be expressed as a fraction of two integers.
2. **1** - This is a rational number because it can be expressed as \( \frac{1}{1} \).
3. **12** - This is a rational number because it can be expressed as \( \frac{12}{1} \).
4. **0.235** - This is a rational number because it can be expressed as \( \frac{235}{1000} \).
5. **3.141592...** - This represents the number π (pi), which is an irrational number because it cannot be expressed as a fraction of two integers.
6. **2.5** - This is a rational number because it can be expressed as \( \frac{25}{10} \) or \( \frac{5}{2} \).

In summary, the rational numbers from the given examples are:
- 1
- 12
- 0.235
- 2.5

Answer 3

Let's analyze each option to determine if they are rational numbers:

1. **√2** - This is an irrational number because it cannot be expressed as a fraction of two integers.
2. **1/2** - This is a rational number because it is already expressed as a fraction of two integers.
3. **0.235** - This is a rational number because it can be expressed as \( \frac{235}{1000} \).
4. **3.141592...** - This represents the number π (pi), which is an irrational number because it cannot be expressed as a fraction of two integers.
5. **2.5** - This is a rational number because it can be expressed as \( \frac{25}{10} \) or \( \frac{5}{2} \).

In summary, the rational numbers from the given examples are:
- **1/2**
- **0.235**
- **2.5**