Answer:
Explanation:
You want to locate the numbers -0.2, -2/8, and -3/7 on a number line.
Order
The labels 'a', 'b', and 'c' are in increasing order on the number line. That means we can identify the corresponding numbers by putting the numbers in increasing order.
If you cannot compare these numbers directly, you can convert them to values with a common denominator, subtract them, or convert them to decimal to make it easier.
In the attachment, we have shown both the decimal value and the order of the equivalent fractions. In increasing order, the given numbers are -3/7, -2/8 (=-1/4), and -0.2 (=-1/5). This means the labels need to be ...
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Additional comment
A common denominator of 140 could be used:
-0.2 = -28/140
-2/8 = -35/140
-3/7 = -60/140
This should make the ordering clear: -3/7 < -2/8 < -0.2.
For this problem, the location relative to -1/3 does not necessarily enter into the solution. It could. For example, -3/7 = -9/21 compared to -1/3 = -7/21, so -3/7 < -1/3 and we must have a=-3/7.
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