Find each product or quotient where possible. -8(-5)
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Identify the operation: The problem involves multiplying two numbers, -8 and -5.
Recall the rule for multiplying two negative numbers: The product of two negative numbers is positive.
Multiply the absolute values of the numbers: Calculate 8 \times 5.
Apply the sign rule: Since both numbers are negative, the product is positive.
Combine the results: The product of -8 and -5 is the positive value obtained from the multiplication.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication of Integers
Multiplication of integers involves combining two whole numbers to find their product. In this case, multiplying -8 by -5 results in a positive product because the multiplication of two negative numbers yields a positive result. Understanding this principle is essential for solving the given expression.
The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. In the expression -8(-5), multiplication is performed first, as there are no parentheses or exponents.
The properties of multiplication include the commutative, associative, and distributive properties, which help simplify calculations. The commutative property states that the order of factors does not affect the product, meaning -8(-5) is the same as -5(-8). Recognizing these properties aids in understanding and solving multiplication problems effectively.