Answer:
0, 0.9, 2, √5, 47/14
Explanation:
Your calculator can help you round these to 1 decimal place:
√5 ≈ 2.2
47/14 ≈ 3.4
Then the order in decimal is ...
0, 0.9, 2, 2.2, 3.4
In the original form, the order is ...
0, 0.9, 2, √5, 47/14
_____
Additional comment
When comparing numbers in decimal, the most-significant digits are compared first. The one in the left-most number place is the greatest. If both are in the same number place, then the highest digit is the greatest. if both are the same, then comparison proceeds to consider the digits in the number place to the immediate right.
Here, the most-significant digits of 0, 2, 2.2 and 3.4 are in the units place, so 3 identifies the largest value. Of the remaining, 2.0 and 2.2 have units digits of 2, so we must look at the tenths digit to determine 2.2 > 2.0. Now, we have 3.4 > 2.2 > 2.
The numbers 0.0 and 0.9 both have units digits of 0, so we look at the tenths place to see that 0.9 > 0.0. This puts the numbers in order ...
3.4 > 2.2 > 2 > 0.9 > 0 . . . . . greatest to least
The order we're interested in is the reverse of this order, least to greatest.