Compare and order 5.2, -5.6, 3 9/10, the square root of 21? ?

I would first suggest turning them all to one thing, like all decimals, or fractions. I chose decimals.

5.2, -5.6, 3.9, √21. To solve the square root, you have to simplify it. There is the square root of 3, times the square root of 7 which gets 21. These can't be simplified, so we can't simplify through that. But, the closest whole number that is a square root is 16. You can check by multiplying the same number together twice. Doing this will get you about 4.58

5.2, -5.6, 3.9, and ≈ 4.58. This is a simple ordering problem now.

It ends up as -5.6, 3 9/10, √21, 5.2

There are 2 decimals, one negative. There is one square root, and one mixed number. The square root is an infinite decimal when simplified

Hope this helps! ~Malachi

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068