Order these values from smallest (1) to largest (6) 5 -5 3/5 0.375 -5/3 -0.375
Divide 3 by 5. What do you get? Divide 5 by 3. What do you get?
0.6 and 1.6666
Great. Now let's rewrite all the numbers replacing 3/5 with 0.6 and -5/3 with -1.666.
5 -5 0.6 0.375 -1.666 -0.375 Now can you put them in order?
not really that's what I still don't get.
Ok. Forget the negative numbers for now. Can you put in order only the following three positive numbers: 5 0.6 0.375
0.375,0.6,5 ?
Great. That is correct. 0.375 is the smallest of the positive numbers, then comes 0.6, and 5 is the largest.
Now let's deal with the negative numbers. With negative numbers, the larger the number is (without the negative sign) the smaller the number is. Here's an example using other numbers. Let's compare -8, -5.6, and -12. Drop the negative signs and look at 8, 5.6, and 12 From smallest to largest, the positive numbers are 5.6, 8, and 12. Since the numbers are negative, the order from smallest to largest is exactly opposite. From smallest to largest we have -12, -8, -5.6
Now look at the negative numbers in your example. -5 -1.666 -0.375 Can you put them in order from smallest to largest now?
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