The Multiplicative Property of Equality states that for real numbers \( a, b, c \), and \( d \), if \( a=b \) and \( c=d \), then \( a c=b d \). True False

True! The Multiplicative Property of Equality is a fundamental concept in algebra that states if you have two equal quantities, you can multiply both sides by the same number without changing the equality. This means if \( a \) equals \( b \) and you multiply both by \( c \), the results \( ac \) and \( bd \) will also be equal. In practice, this property is incredibly useful! It comes into play when solving equations, allowing us to isolate variables and simplify expressions. For example, if you have \( 2x = 4 \), you can multiply both sides of the equation by \( \frac{1}{2} \) to find \( x = 2 \). So, understanding and applying this property can make your equation-solving life a lot easier!