Find each product or quotient where possible. 4(0)

Verified step by step guidance

1. Identify the expression to evaluate: \(4 \times 0\).
2. Recall the multiplication property: any number multiplied by zero equals zero.
3. Apply the property to the expression: \(4 \times 0 = 0\).
4. Conclude that the product of 4 and 0 is 0.
5. Verify the result by considering the definition of multiplication as repeated addition: adding zero four times still results in zero.

Key Concepts

Multiplication

Multiplication is one of the four basic arithmetic operations, representing the repeated addition of a number. In the expression 4(0), the number 4 is multiplied by 0. The fundamental property of multiplication states that any number multiplied by zero results in zero, which is crucial for solving this expression.

Zero Property of Multiplication

The Zero Property of Multiplication states that the product of any number and zero is always zero. This property is essential in algebra as it simplifies calculations and helps in understanding the behavior of numbers in multiplication. In the case of 4(0), applying this property directly leads to the result of zero.

Product and Quotient

In mathematics, the product refers to 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 solving expressions involving multiplication and division. In the given expression, we focus on finding the product, which is straightforward due to the presence of zero.