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

Verified step by step guidance

1. Identify the numbers involved in the multiplication: 5 and -7.
2. Recall the rule for multiplying a positive number by a negative number: the product is negative.
3. Multiply the absolute values of the numbers: 5 and 7.
4. Combine the result with the negative sign from the rule in step 2.
5. Write the final expression as a product of the two numbers with the correct sign.

Key Concepts

Multiplication of Integers

Multiplication of integers involves combining two whole numbers to find their product. In this case, multiplying 5 by -7 results in -35. The product of a positive and a negative integer is always negative, which is a fundamental rule in arithmetic.

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 scenario, since there is only multiplication involved, the order is straightforward, but it is crucial to remember this concept when dealing with more complex expressions.

Understanding Products and Quotients

A product is the result of multiplying two or more numbers, while a quotient is the result of dividing one number by another. In the given question, we focus on finding the product of 5 and -7, which emphasizes the importance of recognizing these operations in algebraic expressions.