1. >
2. <
3. >
4. >
5. >
6. =
7. >
8. <
9. <
10. <
11. >
12. <
13. >
14. <
15. <
16. 24
17. 12
18. 90
19. 108
20. 20x²y²
21. 12
22. 60 eggs; The inspector checks every forty-eighth egg, so the first egg checked is the 48th. The next egg checked is the 96th (48 + 48). The least common multiple of 48 and 60 is 240, which is the first egg checked for both qualities.
23. Yes; The value went up because 1/2 is greater than 1/4.
24. No; She needs 15/2 = 7.5 yards, but she only has 7 1/2 = 7.5 yards. Since 7.5 = 7.5, she has exactly enough, not more than enough. However, if "enough" means at least the required amount, then yes, she has enough. But typically, "does she have enough" implies having sufficient quantity, which she does. Re-evaluating: 7 1/2 yards is exactly 7.5 yards, which is what she needs. So she has enough. But the question says "Does she have enough ribbon?" and since she has exactly the amount needed, the answer is yes. However, let me check the calculation again. She needs 3/2 * 5 = 15/2 = 7.5 yards. She has 7 1/2 = 15/2 = 7.5 yards. So she has exactly enough. Therefore, yes, she has enough.
25. 1/3, 1/4, 1/6
26. 1/2, 2/3, 3/4
27. 1/5, 1/3, 1/2
Parent Tip: Review the logic above to help your child master the concept of ordering rational numbers worksheet pdf.