Question

Which number has the greatest value? (1 point)
Responses

1 2/3
1
2
3
1 and 2 thirds

2–√
2
square root of 2

π2
𝜋
2
pi over 2

1.5
1.5
1 point 5

Answer 1

To determine which number has the greatest value, let's evaluate each option:

1. **1 2/3** = 1.666...
2. **1** = 1
3. **2** = 2
4. **3** = 3
5. **1 and 2 thirds** = 1 2/3 = 1.666...

6. **2–√** = 2 - √2 ≈ 2 - 1.414 = 0.586
7. **2** = 2
8. **square root of 2** = √2 ≈ 1.414

9. **π2** ≈ 3.14 × 2 = 6.28
10. **𝜋** = approximately 3.14
11. **2** = 2
12. **pi over 2** = π/2 ≈ 1.57

13. **1.5** = 1.5
14. **1.5** = 1.5
15. **1 point 5** = 1.5

Now, comparing the evaluated values:
- 1 2/3 ≈ 1.666
- 1 ≈ 1
- 2 = 2
- 3 = 3
- 1 and 2 thirds = 1 2/3 ≈ 1.666
- 2 - √ ≈ 0.586
- √2 ≈ 1.414
- π2 ≈ 6.28
- π ≈ 3.14
- π/2 ≈ 1.57
- 1.5 = 1.5

Among these, the greatest value is **π2** (approximately 6.28).