Answer:
19: <
20: <
21. [tex]\frac{3}{2}[/tex], 2[tex]\frac{1}{2}[/tex], [tex]\sqrt{8}[/tex], 3.5, [tex]\sqrt{16}[/tex]
22. [tex]\sqrt{3}[/tex], [tex]\sqrt{5}[/tex], 2.5
23. 1.5, [tex]\sqrt{3}[/tex], [tex]\sqrt{4}[/tex], 2π
24. [tex]\frac{\sqrt{4} }{2}[/tex], 2, [tex]\sqrt{7}[/tex]
Step-by-step explanation:
Number 19:
The first equation: [tex]\sqrt{4}[/tex] + 2 = ? || [tex]\sqrt{4}[/tex] = 2 || 2 + 2 = 4
The second equation: 4 + [tex]\sqrt{2}[/tex] = ? || [tex]\sqrt{2}[/tex] ≈ 1.4 || 4 + 1.4 = 5.4
The answer: 4 < 5.4 so, [tex]\sqrt{4}[/tex] + 2 < 4 + [tex]\sqrt{2}[/tex]
Number 20:
The first equation: [tex]\sqrt{9}[/tex] + 7 = ? || [tex]\sqrt{9}[/tex] = 3 || 3 + 7 = 10
The second equation: 9 + [tex]\sqrt{7}[/tex] = ? || [tex]\sqrt{7}[/tex] ≈ 2.6 || 9 + 2.6 = 11.6
The answer: 10 < 11.6 so, [tex]\sqrt{9}[/tex] + 7 < 9 + [tex]\sqrt{7}[/tex]
Number 21:
Values: [tex]\frac{3}{2}[/tex] = 1 [tex]\frac{1}{2}[/tex] = 1.5 || 2 [tex]\frac{1}{2}[/tex] = 2.5 || 3.5 || [tex]\sqrt{16}[/tex] = 4 || [tex]\sqrt{8}[/tex] = 2.8
Values in order: 1.5, 2.5, 2.8, 3.5, 4
Original numbers in order: [tex]\frac{3}{2}[/tex], 2[tex]\frac{1}{2}[/tex], [tex]\sqrt{8}[/tex], 3.5, [tex]\sqrt{16}[/tex]
Number 22:
Values: [tex]\sqrt{5}[/tex] ≈ 2.2 || 2.5 || [tex]\sqrt{3}[/tex] ≈ 1.7
Values in order: 1.7, 2.2, 2.5
Originals numbers in order: [tex]\sqrt{3}[/tex], [tex]\sqrt{5}[/tex], 2.5
Number 23:
Values: [tex]\sqrt{3}[/tex] ≈ 1.7 || 2π ≈ 6.3 || 1.5 || [tex]\sqrt{4}[/tex] = 2
Values in order: 1.5, 1.7, 2, 6.3
Original numbers in order: 1.5, [tex]\sqrt{3}[/tex], [tex]\sqrt{4}[/tex], 2π
Number 24:
Values: [tex]\sqrt{7}[/tex] ≈ 2.6 || 2 || [tex]\frac{\sqrt{4} }{2}[/tex] = 1
Values in order: 1, 2, 2.6
Original numbers in order: [tex]\frac{\sqrt{4} }{2}[/tex], 2, [tex]\sqrt{7}[/tex]
