To find the distance between points A and B, let's first identify their positions:
- The number line provided goes from 0 to 2 in increments of 1, with 3 equal spaces between each number. This means the space between each whole number (0, 1, 2) is divided into 3 parts. The markers on the number line are:
- 0
- 1 (first marker)
- 1 mark to the right of 1 is at \(1 + \frac{1}{3} = \frac{4}{3}\), which is point A.
- Point B is one mark to the right of A: \[ A = \frac{4}{3} \] \[ B = A + \frac{1}{3} = \frac{4}{3} + \frac{1}{3} = \frac{5}{3} \]
Next, we calculate the distance between points A and B: \[ \text{Distance} = B - A = \frac{5}{3} - \frac{4}{3} = \frac{1}{3} \]
Thus, the distance between points A and B is one-third.