Drag the numbers to put them in order from least value (top) to greatest value (bottom).

Instructions

Drag and drop application.

Choice 1 of 4. 103 toggle button

103103

Choice 2 of 4. 13 toggle button

13⎯⎯⎯⎯√13

Choice 3 of 4. 312 toggle button

312312

Choice 4 of 4. π toggle button

ππ


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.

Drag the numbers to put them in order from least value (top) to greatest value (bottom).

Choice 1 of 4. 103 toggle button
103
Choice 2 of 4. 13 toggle button
√13
Choice 3 of 4. 312 toggle button
312
Choice 4 of 4. π toggle button
π

Learn how to order numbers such as 103, √13, 312, and π by comparing whole numbers, square roots, and irrational numbers like pi. This step-by-step solution demonstrates key mathematical concepts suitable for Grades 6-8.

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