Find each sum or difference. See Example 1.8 - (-13)

Verified step by step guidance

1. Identify the operation: The problem involves subtraction of a negative number.
2. Recall the rule: Subtracting a negative number is equivalent to adding its positive counterpart.
3. Rewrite the expression: Change '8 - (-13)' to '8 + 13'.
4. Perform the addition: Add the two numbers together.
5. Conclude with the result of the addition.

Key Concepts

Addition of Integers

Addition of integers involves combining two or more whole numbers to find their total. When adding a negative integer, it is equivalent to subtracting its absolute value. For example, in the expression 8 - (-13), the double negative turns into addition, resulting in 8 + 13.

Understanding Negative Numbers

Negative numbers represent values less than zero and are crucial in arithmetic operations. When subtracting a negative number, it effectively increases the value, as it can be thought of as moving to the right on the number line. This concept is essential for correctly interpreting expressions involving subtraction of negatives.

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. Commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), it is important to follow this order when evaluating expressions to avoid errors.