Which Equation Demonstrates the Distributive Property?

There are many equations that demonstrate the distributive property, but one of the most common is (x+y)z = xz+yz. This equation states that when you multiply a sum by a number, it is the same as multiplying each addend by the number and then adding the products. In other words, the distributive property lets you "distribute" the multiplication across the terms in the parentheses.

The distributive property is a fundamental property of arithmetic that is used all the time, both in everyday life and in more advanced mathematics. It is especially useful when you are dealing with equations that have multiple terms in them. By using the distributive property, you can break down a complicated equation into simpler parts that are easier to work with.

The distributive property is also a crucial ingredient in many algebraic equations. Algebra is a branch of mathematics that uses equations to solve problems. Many of the equations that you will encounter in algebra have more than one term in them. The distributive property allows you to simplify these equations by breaking them down into smaller parts.

Without the distributive property, many of the equations that we use in everyday life would be much more difficult to solve. The distributive property is an important tool that we can use to make our lives easier.

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There is no single answer to this question since it depends on the equation in question and what steps are necessary to solve it. However, there are some general tips that can be followed when using the distributive property to solve an equation.

First, identify the term that will be distributive and write it out. For example, if the equation is 4x+2=16, the distributive term would be 4x.

Next, determine what the distributive term is equal to. In the above equation, 4x is equal to 16-2, or 14.

Once the distributive term has been determined, solve the equation as usual, using the distributive term in place of the original term. In the example equation, this would mean solving 14+2=16, which is straightforward.

If the equation is more complicated, additional steps may be necessary. For instance, if the distributive term is a fraction, it may need to be multiplied by the other terms in the equation before solving. Additionally, more than one distributive term may be present in a single equation, in which case each one would need to be solved separately.

With that said, the distributive property can be a helpful tool for solving equations, just as long as the steps are followed carefully.

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