Which set of numbers is correctly ordered from smallest to greatest?
A)
0.009, 0.0099, 0.0909, 0.099
B)
0.0099, 0.009, 0.0909, 0.099
C)
0.0909, 0.099, 0.009, 0.0099
D)
0.099, 0.0099, 0.009, 0.0909
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To determine the correct order of the given set of numbers, we need to compare their values. Let's go through the options one by one:
Option A: 0.009, 0.0099, 0.0909, 0.099
Start by comparing the first two numbers:
0.009 < 0.0099 (True)
Since the first number is smaller, we can conclude that 0.009 comes before 0.0099.
Next, compare the third number with the larger of the first two:
0.0909 > 0.0099 (True)
Therefore, 0.0909 comes after 0.0099.
Finally, compare the last number with the largest of the previous three:
0.099 > 0.0909 (True)
Thus, 0.099 comes after 0.0909.
Putting it all together, the correct order in option A is: 0.009, 0.0099, 0.0909, 0.099.
Option B: 0.0099, 0.009, 0.0909, 0.099
Comparing the first two numbers:
0.0099 > 0.009 (True)
Therefore, 0.0099 should come after 0.009.
Next, compare the third number with the larger of the first two:
0.0909 > 0.0099 (True)
So, 0.0909 comes after 0.0099.
Lastly, compare the last number with the largest of the previous three:
0.099 > 0.0909 (True)
Hence, 0.099 should come after 0.0909.
Thus, the correct order in option B is: 0.009, 0.0099, 0.0909, 0.099.
Option C: 0.0909, 0.099, 0.009, 0.0099
Comparing the first two numbers:
0.0909 < 0.099 (True)
Thus, 0.0909 comes before 0.099.
Now, compare the third number with the larger of the first two:
0.009 < 0.099 (True)
Hence, 0.009 should come before 0.099.
Lastly, compare the fourth number with the largest of the previous three:
0.0099 < 0.099 (True)
Therefore, 0.0099 comes before 0.099.
Putting it all together, the correct order in option C is: 0.009, 0.0099, 0.0909, 0.099.
Option D: 0.099, 0.0099, 0.009, 0.0909
Comparing the first two numbers:
0.099 > 0.0099 (True)
Thus, 0.099 should come after 0.0099.
Now, compare the third number with the larger of the first two:
0.009 < 0.099 (True)
Therefore, 0.009 comes before 0.099.
Lastly, compare the fourth number with the largest of the previous three:
0.0909 > 0.099 (False)
Here, 0.0909 is actually smaller than 0.099.
Considering all the comparisons, the correct order in option D should be: 0.009, 0.0099, 0.099, 0.0909.
Out of the given options, only option A: 0.009, 0.0099, 0.0909, 0.099, has the numbers correctly ordered from smallest to greatest.