What do you get when you multiply zero by any number?

When you multiply zero by any number, the result is always zero. This is a fundamental concept in arithmetic known as the "Multiplicative Property of Zero." It states that multiplying zero by any number, regardless of the value of that number, will yield a product of zero. This holds true for positive numbers, negative numbers, fractions, and even other instances of zero.

Understanding this principle is important because it reinforces the notion that zero acts as a neutral element in multiplication – any number times zero results in no change, which is represented by zero. This concept has applications in various mathematical contexts, including algebra and number theory, where it helps simplify expressions and solve equations effectively.