UpStudy Free Solution:

The number line model shows a series of jumps to the right, starting from -8 and moving in increments of 2 units each time.

Let's break down the jumps:

- Start at -8

- Jump 2 units to the right to -6

- Jump 2 units to the right to -4

- Jump 2 units to the right to -2

- Jump 2 units to the right to 0

This can be represented by the expression \(- 8 + 2 + 2 + 2 + 2 = 0\).

So, the expression that is best represented by the number line model is:

\(- 8 + 2 + 2 + 2 + 2\).

Supplemental Knowledge

A number line is a visual representation of numbers on a straight line, which helps in understanding arithmetic operations like addition and subtraction. Each point on the line corresponds to a number, with negative numbers to the left of zero and positive numbers to the right.

Key Concepts:

1. Number Line Basics: A number line extends infinitely in both directions, with each point representing an integer or fraction.

2. Addition on a Number Line: Moving to the right indicates addition, while moving to the left indicates subtraction.

3. Incremental Jumps: When adding or subtracting repeatedly by the same amount, it can be visualized as making equal jumps along the number line.

Example Scenario:

Consider starting at -5 and making jumps of 3 units each time:

- Start at -5

- Jump 3 units to the right to -2

- Jump 3 units to the right to 1

- Jump 3 units to the right to 4

This can be represented by:

\[- 5 + 3 + 3 + 3 = 4\]

Learning math with visual aids like number lines is often much simpler! UpStudy makes mastering these complex subjects simple thanks to clear explanations and interactive tools which enable users to grasp even complex mathematical ideas quickly.