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 allows us to maintain equality by multiplying both sides of an equation by the same number. For example, if you know that \( 3 = 3 \) and \( 2 = 2 \), you can confidently multiply both sides of those equations by 4 to get \( 12 = 12 \), validating the property in practice! In real-world situations, this property is powerful when solving equations. Take budgeting or resource allocation: if you know two quantities are equal, you can scale them without losing the relationship. For instance, if you have $50 and find two different ways to spend it, multiplying those amounts by a factor allows you to explore various scenarios while ensuring your total remains consistent!