Find each product or quotient where possible. See Example 2. -8(-5)

Verified step by step guidance

1. Identify the operation involved in the expression. Here, the expression is a product of two numbers: \(-8\) and \(-5\).
2. Recall the rule for multiplying integers: the product of two negative numbers is positive.
3. Set up the multiplication as \((-8) \times (-5)\).
4. Multiply the absolute values of the numbers: \(8 \times 5\).
5. Apply the sign rule to determine the final sign of the product, which will be positive since both factors are negative.

Key Concepts

Multiplication of Integers

Multiplying integers involves combining their values according to sign rules. The product of two negative integers is positive, while the product of a positive and a negative integer is negative. For example, multiplying -8 by -5 results in a positive 40.

Sign Rules for Multiplication

Sign rules determine the sign of the product when multiplying integers: positive × positive = positive, negative × negative = positive, and positive × negative = negative. Understanding these rules helps correctly compute products involving negative numbers.

Basic Arithmetic Operations

Basic arithmetic operations include addition, subtraction, multiplication, and division. Mastery of these operations is essential for solving algebraic expressions and simplifying numerical problems, such as finding the product of two integers.