Find each product or quotient where possible. 0(-8)
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1
Identify the operation involved: multiplication.
Recognize that multiplying any number by zero results in zero.
Apply the multiplication property of zero: .
Conclude that the product of zero and any number is zero.
Verify the understanding that this property holds for any real number.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication
Multiplication is a fundamental arithmetic operation that combines two numbers to produce a product. In this case, multiplying zero by any number results in zero. This property is crucial in understanding how multiplication interacts with zero, as it simplifies calculations and helps in solving equations.
The Zero Property of Multiplication states that the product of any number and zero is always zero. This concept is essential in algebra as it helps in simplifying expressions and solving equations. Recognizing this property allows students to quickly determine the outcome of multiplication involving zero without further calculation.
The product is the result of multiplying two or more numbers, while the quotient is the result of dividing one number by another. Understanding these terms is vital for performing operations in algebra. In the context of the question, identifying the product of zero and -8 illustrates the application of multiplication, while the concept of quotient may be relevant in other similar problems.