Understanding the Multiplication Property of Equality in Mathematics

multiplication property of equality

The multiplication property of equality is a fundamental concept in mathematics that states that if you multiply both sides of an equation by the same non-zero number, the equality remains true

The multiplication property of equality is a fundamental concept in mathematics that states that if you multiply both sides of an equation by the same non-zero number, the equality remains true.

Formally, let’s consider an equation: a = b. If c is a non-zero number, then the multiplication property of equality states that if we multiply both sides of the equation by c, we get c * a = c * b. The result is still an equality: the left-hand side is equal to the right-hand side.

This property is important because it allows us to manipulate equations and simplify expressions while preserving the equality between the two sides. It provides a useful tool for solving equations, finding unknown variables, and simplifying algebraic expressions.

For example, let’s say we have the equation 3x = 9. To solve for x, we can use the multiplication property of equality by multiplying both sides of the equation by the reciprocal of 3, which is 1/3. By doing so, we get (1/3) * (3x) = (1/3) * 9, which simplifies to x = 3.

In summary, the multiplication property of equality allows us to multiply both sides of an equation by the same non-zero number, preserving the equality between the sides and helping us solve equations and simplify expressions.

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