To rank these numbers from least to greatest, let's evaluate each of them carefully:

1. 103 is a straightforward whole number.

   • Value: 103

2. √13 is the square root of 13.

   • Approximate Value: √13 ≈ 3.605

3. 312 is another whole number.

   • Value: 312

4. π (pi) is an irrational number.

   • Approximate Value: π ≈ 3.1416

Now, let's place them in order from least to greatest based on these values:

1. π (≈ 3.1416)
2. √13 (≈ 3.605)
3. 103
4. 312

So, the correct order is:

1. π
2. √13
3. 103
4. 312

Would you like further details on how these values were calculated or any other questions? Here are five related questions to consider:

1. What is the definition of an irrational number like π?
2. How do you calculate the square root of a non-perfect square like 13?
3. What other irrational numbers are commonly used in math?
4. How does comparing irrational numbers differ from comparing integers?
5. What is the significance of rounding in approximate values like π?

Tip: When comparing numbers, it's often helpful to approximate irrational numbers like √13 and π to decimals for easier comparison.