Answer:
[tex]\frac{2}{3}+(-2\frac{1}{3})=-1 \frac{2}{3}[/tex] is correct.
Step-by-step explanation:
The number line between two consecutive integers is divided into 3 intervals. This means each of these intervals is 1/3. For example, starting from 0 towards right the first small line is at 1/3, the next at 2/3 and then at 3/3 = 1.
Similarly, towards the left of 0, we have -1/3, -2/3 and then-1. Based on this data, we can find the end points of the given line
- The location of right end point is 2/3
- The location of left end point is [tex](-1\frac{2}{3} )[/tex]
The distance between two endpoints can be calculated as:
Right End point - Left End point
[tex]=\frac{2}{3} - (-1\frac{2}{3})\\\\ =\frac{2}{3} + 1\frac{2}{3}\\\\ =\frac{2}{3}+\frac{5}{3}\\\\ =\frac{7}{3}\\\\ =2\frac{1}{3}[/tex]
So, the equation can be set up as:
[tex]\frac{1}{3}-(-1\frac{2}{3})=2\frac{1}{3}\\\\ \frac{1}{3}= 2\frac{1}{3}+(-1\frac{2}{3})\\\\ \frac{1}{3}-2\frac{1}{3}=-1\frac{2}{3}\\\\ \frac{1}{3}+(-2\frac{1}{3})=-1\frac{2}{3}[/tex]
Which matches with the final option.
Keywords: addition, graph, number line
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