Question

What is the distance between points A and B?

A number line going from 0 to 2 in increments of 1. There are 3 equal spaces between each number. Point A is one mark to the right of 1. Point B is one mark to the right of point A.
One-third
One-half
1 One-third
1 One-half

Answer 1

To find the distance between points A and B, let's first identify their positions:

1. 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**.