Answer:
a) pi: 3.1
sqrt(3): 1.7
2sqrt(3): 3.5
sqrt(5): 2.2
b) least to greatest
sqrt(3)
sqrt(5)
pi
2sqrt(3)
Step-by-step explanation:
pi: 3.1
sqrt(3) is approximately 1.7
Because:
3 lies between two perfect squares, 1 and 4.
1 < 3 < 4
It's 2 and 1 units away from the ends
So a rough estimate would be:
1 + 2/3 = 1.66666667
To the nearest tenth, 1.7
2sqrt(3)
= sqrt(12) is approximately 3.5
Because:
12 lies between two perfect squares, 9 and 16
9 < 12 < 16
It's 3 and 4 units away from the ends
So a rough estimate would be:
3 + 3/7
Since 3/7 is almost ½
To the nearest tenth, 3.5
sqrt(5) is approximately 2.2
Because:
5 lies between two perfect squares, 4 and 9
4 < 3 < 9
It's 1 and 6 units away from the ends
So a rough estimate would be:
2 + 1/7
1/7 is slightly greater than 0.15
To the nearest tenth, 2.2
Least to greatest:
sqrt(3): 1.7
sqrt(5): 2.2
pi: 3.1
2sqrt(3): 3.5
