Select all examples of rational numbers.

Question

√2
1 12 2
0.235
3.141592...
2.5

Answer 1

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 2

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