To determine which point on the number line could represent [tex]\( -2 \frac{1}{4} \)[/tex] (also written as [tex]\( -2.25 \)[/tex]), we need to understand the placement of this value in relation to whole numbers and fractions.
1. Understanding [tex]\( -2 \frac{1}{4} \)[/tex]:
- The mixed number [tex]\( -2 \frac{1}{4} \)[/tex] can be converted to a decimal for easier positioning on the number line.
- It breaks down as [tex]\( -2 + \left(\frac{1}{4}\right) \)[/tex].
- Since [tex]\( \frac{1}{4} = 0.25 \)[/tex], you can express [tex]\( -2 \frac{1}{4} \)[/tex] as [tex]\( -2.25 \)[/tex].
2. Placement on the number line:
- The number line marks values from left to right with negative numbers on the left of zero and positive numbers on the right.
- [tex]\( -2.25 \)[/tex] is located between [tex]\( -2 \)[/tex] and [tex]\( -3 \)[/tex].
- It is slightly closer to [tex]\( -2 \)[/tex] rather than being centrally placed between [tex]\( -2 \)[/tex] and [tex]\( -3 \)[/tex].
3. Examining points A, B, C, and D:
- We need to identify the point that lies precisely at [tex]\( -2.25 \)[/tex] on a mock or given number line, typically labeled with clear divisions between integers.
- Point A could be at [tex]\( -1 \)[/tex], point B could be at [tex]\( -2.25 \)[/tex], point C might be at [tex]\( -3 \)[/tex], and point D might be at [tex]\( 0 \)[/tex] as an example. Assuming conventional spacing, [tex]\( -2.25 \)[/tex] would be the point specifically marked for such established increments.
Therefore, the correct point on a number line representing [tex]\( -2 \frac{1}{4} \)[/tex] or [tex]\( -2.25 \)[/tex] would be the point labeled as B.
