Which point is located at Three-fourths?

Question

A number line going from 0 to 2 in increments of 1. There are 4 equal spaces between each number. The line contains 0, A, B, C, 1, D, blank, blank, 2.
A
B
C
D

Answer 1

To determine which point is located at three-fourths (\( \frac{3}{4} \)) on the number line going from 0 to 2, you can break it down as follows:

1. The number line starts at 0 and ends at 2 and is divided into four equal sections between each whole number (0 to 1 and 1 to 2).
2. The total distance from 0 to 1 is divided into 4 equal parts, where each part represents \( \frac{1}{4} \).
3. Therefore, the points on the first segment can be calculated as:
   • 0 (start)
   • \( \frac{1}{4} \) (first increment)
   • \( \frac{2}{4} \) or \( \frac{1}{2} \) (second increment)
   • \( \frac{3}{4} \) (third increment)
   • 1 (end of the first segment)

From the above, we see that the point \( D \) which is just before the start of 2 represents \( \frac{3}{4} \) or \( 1.75 \). In conclusion, point \( C \) represents \( \frac{3}{4} \).

Hence, the answer is point C.