Finding a Point a Fractional Distance Between Two Points on a Number Line

Calculating Distance on a Number Line

• 🎯 The problem involves finding Point C, which is 2/3 of the distance from Point B to Point A on a number line.
• 📍 Point A is located at 1 and Point B is located at 3.

Determining the Total Distance

• 📏 The total distance between Point B (3) and Point A (1) can be calculated by subtracting the starting point from the endpoint: 1 - 3 = -2. In absolute terms, the distance is 4.
• 💡 Alternatively, one can count the units: 3 units to reach zero from 3, and then 1 unit to reach -1, totaling 4 units.

Calculating the Fractional Distance

• ✖️ We need to find 2/3 of the total distance (4). This is calculated as (2/3) * 4 = 8/3.
• 🔢 As a mixed number, 8/3 is equal to 2 and 2/3.

Locating Point C

• ➡️ To find Point C, we start at Point B (3) and move 2 and 2/3 units down towards Point A (-1).
• 📍 Moving down 2 units from 3 brings us to 1. Moving down another 2/3 of a unit places Point C at 1 and 1/3 on the number line.