Problem 11 - Elementary and Intermediate Algebra

Question

Add using the number line. \(-4+0\)

Step-by-Step Solution

Answer

The result is -4.

Step 1 - Identify the Starting Point

Determine the starting point on the number line, which in this case is -4.

Step 2 - Determine the Movement

Identify how many units to move on the number line. Since we are adding 0, there is no movement needed.

Step 3 - Find the Resulting Position

The resulting position on the number line remains -4 because adding 0 does not change the starting value.

Key Concepts

Number Line

A number line is a straight, horizontal line with numbers placed at equal intervals or segments along its length. It helps you visualize the position and order of numbers. When we talk about using a number line for addition or subtraction, it’s essentially like taking steps along the line.

Integer Addition

Integer addition involves combining two whole numbers, which can be positive, negative, or zero. When adding two integers, one can use a number line to find the sum visually. Start at the position of the first number and move to the right if you’re adding a positive integer, or to the left if you’re adding a negative integer.

Zero Property

The zero property of addition signifies that adding zero to any number will not change that number's value. It is a fundamental concept in mathematics, making calculations easier, since anything added to zero equals the original number.