Find each sum or difference. See Example 1.-15 + 6

Verified step by step guidance

1. Identify the operation: This is a subtraction problem disguised as an addition problem, where you are adding a negative number.
2. Rewrite the expression: -15 + 6 can be rewritten as -15 + (+6).
3. Understand the number line: Start at -15 on the number line and move 6 units to the right because you are adding a positive number.
4. Calculate the new position: Moving 6 units to the right from -15 will land you at a new position on the number line.
5. Interpret the result: The new position on the number line is the result of the sum -15 + 6.

Key Concepts

Addition of Integers

Addition of integers involves combining two whole numbers to find their total. In this case, when adding a negative integer (-15) and a positive integer (6), the process requires understanding that adding a negative number is equivalent to subtracting its absolute value from the positive number.

Understanding Negative Numbers

Negative numbers represent values less than zero and are crucial in arithmetic operations. When performing addition with negative numbers, it is important to recognize that they decrease the total value, which can lead to a more negative result when combined with positive integers.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. In this case, since the operation is straightforward addition, the order of operations is not a concern, but it is essential to remember when dealing with more complex expressions.