NCSSM Placement Practice Test 2025 - Free NCSSM Placement Practice Questions and Study Guide

Question: 1 / 570

Which statement represents the Multiplication Property of Equality?

If a = b, then a * c = b

If a = b, then a * c = b * c

The Multiplication Property of Equality states that if two values are equal, then multiplying both sides of the equation by the same non-zero number will maintain that equality. In other words, it ensures that if one quantity is equal to another, multiplying both quantities by a third identical quantity will yield two equal products.

In this context, the statement that "If a = b, then a * c = b * c" embodies this principle perfectly. It explicitly shows that by multiplying both sides of the equation by c, the equality holds true. This property is crucial in algebra when solving equations, as it allows for manipulation of equations without changing their fundamental truth.

Understanding this property is essential for solving algebraic problems and equations. It highlights the importance of maintaining balance in equations when performing operations on both sides.

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If a = b, then a / c = b

If a = b, then a + c = b + c

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