Which number has the greatest value? (1 point)

Question

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).