Sure, to identify which point on the number line represents [tex]\( -\frac{1}{3} \)[/tex], follow these steps:
1. Understand the Value in Context: [tex]\( -\frac{1}{3} \)[/tex] is a negative number, which means it is located to the left of zero on the number line.
2. Identify the Intervals: Usually, the number line in the context of such questions is marked with regular intervals. Identify how each interval is divided (e.g., whether each mark is at [tex]\( \frac{1}{4} \)[/tex], [tex]\( \frac{1}{2} \)[/tex], [tex]\( \frac{1}{3} \)[/tex], or some other fraction).
3. Location of [tex]\( -\frac{1}{3} \)[/tex]: Since [tex]\( -\frac{1}{3} \)[/tex] falls between 0 and -1, you would need to divide the segment between 0 and -1 into three equal parts. The first mark to the left of 0, in this case, would be [tex]\( -\frac{1}{3} \)[/tex].
4. Right Point: Among the points [tex]\( A, B, C, D \)[/tex], the one that is one-third of the way from 0 to -1 will represent [tex]\( -\frac{1}{3} \)[/tex]. Typically, if the options are drawn to scale, you can mark the point carefully.
Thus, locate the point that correctly reflects [tex]\( -\frac{1}{3} \)[/tex] based on the given number line. If points A, B, C, and D are positioned accurately, identify the correct placement of [tex]\( -\frac{1}{3} \)[/tex] amongst them. The exact point would solely be determined by where the number line divides the space between 0 and -1 into three equal parts, placing [tex]\( -\frac{1}{3} \)[/tex] at the first division to the left of zero.
