Find each product or quotient where possible. See Example 2. 5(-7)

Key Concepts

Multiplication of Integers

Multiplication of integers involves combining equal groups of numbers. In this case, multiplying 5 by -7 means adding -7 a total of 5 times. The result will be negative since one of the integers is negative, following the rule that a positive times a negative yields a negative product.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which calculations should be performed to ensure consistent results. In this context, multiplication is performed before addition or subtraction, which is crucial for correctly evaluating expressions involving multiple operations.

Understanding Negative Numbers

Negative numbers represent values less than zero and are essential in various mathematical operations. When multiplying a positive number by a negative number, the product is negative, which is a fundamental concept in arithmetic that helps in understanding the behavior of numbers on the number line.