Question 1094427: What is the order of -3, -6/5, 0.75, √6, √25 from least to greatest?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source):
Answer by ikleyn(52818)  (Show Source):
You can put this solution on YOUR website! .
Let's apply our common sense (my and yours).
 is near -1.
-3 is obviously less than . It lies to the left from in the number line.
The other three numbers are positive. So, they are certainly greater than these two.
So, the sequence of the numbers starts in this way:
-3, -6/5. (1)
0.75, as we just noticed, is positive, and it is lesser than 1.
In opposite,  and  are, obviously, greater than 1.
So, 0.75 will be the third term in the sequence (1), which now looks like
-3, -6/5, 0.75. (2)
is greater than 2, but lesser than 3, while is simply 5.
Therefore, it is clear to you (and to me) that we can continue and complete the sequence (2) in this way
-3, -6/5, 0.75, and = 5
by placing the numbers in accessing order, from least to greatest.
So, their order, from least to greatest, is exactly the same as in your original post.
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