Number Line Math Example 5

Follow the full solution, then compare it with the other examples linked below.

Example 5

medium
A frog starts at 00 on a number line. It jumps +5+5, then −3-3, then +7+7, then −9-9. Where does it land, and what is the total distance travelled?

Solution

  1. 1
    Positions after each jump: 0→5→2→9→00 \to 5 \to 2 \to 9 \to 0. Final position: 00.
  2. 2
    Total distance =5+3+7+9=24= 5 + 3 + 7 + 9 = 24 units.

Answer

Final position: 00; total distance travelled: 2424 units.
Final position is determined by net displacement (signed sum), while total distance is the sum of the absolute values of each jump. The frog returns to the origin, so displacement is zero — but it still covered 2424 units of ground.

About Number Line

A straight line where each point represents a number, with equal spacing giving a visual model of all real numbers. The number line extends infinitely in both directions, with negative numbers to the left of zero and positive numbers to the right, providing a geometric representation of order and distance.

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More Number Line Examples

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Example 2 medium

Find all integers within distance [formula] of [formula] on the number line.

Example 3 medium

On a number line, point A is at [formula] and point B is at [formula]. Find the midpoint and the dis

Example 4 easy

On a number line, point [formula] is at [formula] and point [formula] is at [formula]. Find the midp

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