Which term refers to an equation where a number multiplied by zero equals zero?

Which term refers to an equation where a number multiplied by zero equals zero?

• A. Multiplicative property
• B. Additive property
• C. Zero product property
• D. Reflexive property

Answer: (C)

The term that refers specifically to the principle that a number multiplied by zero equals zero is known as the zero product property. This property states that if you have any number, let's say 'a', and multiply it by zero, the result will always be zero, or mathematically, a × 0 = 0. This concept is fundamental in arithmetic and algebra, as it lays the groundwork for understanding the behavior of multiplication, particularly in equations and factoring. It highlights the unique role of zero in multiplication and is essential for solving various mathematical problems. The other properties mentioned do not pertain directly to the multiplication of zero. For instance, the multiplicative property pertains to the behavior of numbers in multiplication more generally, while the additive property relates to addition. The reflexive property discusses equality, stating that an object is equal to itself. Therefore, the zero product property accurately describes the situation where multiplying by zero results in zero.

The term that refers specifically to the principle that a number multiplied by zero equals zero is known as the zero product property. This property states that if you have any number, let's say 'a', and multiply it by zero, the result will always be zero, or mathematically, a × 0 = 0.

This concept is fundamental in arithmetic and algebra, as it lays the groundwork for understanding the behavior of multiplication, particularly in equations and factoring. It highlights the unique role of zero in multiplication and is essential for solving various mathematical problems.

The other properties mentioned do not pertain directly to the multiplication of zero. For instance, the multiplicative property pertains to the behavior of numbers in multiplication more generally, while the additive property relates to addition. The reflexive property discusses equality, stating that an object is equal to itself. Therefore, the zero product property accurately describes the situation where multiplying by zero results in zero.