Find each sum or difference. -15+6

Verified step by step guidance

1. Identify the operation: This problem involves addition of two numbers, -15 and 6.
2. Recognize that adding a positive number to a negative number is equivalent to subtracting the positive number from the absolute value of the negative number.
3. Calculate the absolute value of the negative number: |-15| = 15.
4. Subtract the positive number from the absolute value of the negative number: 15 - 6.
5. Determine the sign of the result: Since the absolute value of the negative number is greater than the positive number, the result will be negative.

Key Concepts

Addition and Subtraction of Integers

Addition and subtraction of integers involve combining or removing whole numbers, which can be positive or negative. When adding a positive integer, you move to the right on the number line, while adding a negative integer (or subtracting a positive one) moves you to the left. Understanding how to navigate these operations is crucial for solving problems involving integers.

Number Line Representation

A number line is a visual representation of numbers in a straight line, where each point corresponds to a number. It helps in understanding the relative positions of integers, especially when performing addition or subtraction. For example, on a number line, -15 is to the left of 0, and adding 6 means moving 6 units to the right, which aids in visualizing the result.

Properties of Operations

The properties of operations, such as the commutative and associative properties, govern how numbers can be combined. The commutative property states that the order of addition does not affect the sum, while the associative property indicates that the grouping of numbers does not change the result. These properties can simplify calculations and enhance understanding of arithmetic operations.