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

Verified step by step guidance

1. Identify the operation involved: the problem asks to find the product of -8 and -5, which means multiplying these two numbers.
2. Recall the rule for multiplying integers: the product of two negative numbers is a positive number.
3. Set up the multiplication expression as \(-8 \times -5\).
4. Multiply the absolute values of the numbers: calculate \(8 \times 5\).
5. Apply the sign rule to the product of the absolute values to determine the final sign of the answer.

Key Concepts

Multiplication of Integers

Multiplying integers involves combining their absolute values and determining the sign of the product. If both integers have the same sign, the product is positive; if they have different signs, the product is negative. For example, -8 × (-5) results in a positive product because both numbers are negative.

Properties of Real Numbers

The properties of real numbers, such as the commutative and associative properties, help simplify multiplication and division. These properties ensure that the order and grouping of numbers do not affect the product, making calculations more flexible and consistent.

Evaluating Expressions

Evaluating expressions means performing the indicated operations to simplify or find the value of the expression. In this case, it involves multiplying the given integers directly to find the product, ensuring correct application of arithmetic rules.