Problem 64 Solve and check. $$2 a=0$$... [FREE SOLUTION]

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Chapter 5: Problem 64

Solve and check. $$2 a=0$$

Short Answer

Expert verified

The solution for the equation is $a = 0$.

Step by step solution

Solve for a

To solve for $a$, divide both sides of the equation $2a = 0$ by 2, which gives $a = 0/2 = 0$.

Check the Solution

To check the solution, substitute the value of $a$ in the original equation: $2*0 = 0$. Since both sides of the equation match, the solution is verified.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Solving Equations

When solving equations, it's all about finding the value of the unknown variable that makes the equation true. In the given exercise, you are solving for the variable $ a $ in the equation $ 2a = 0 $. The goal is to isolate $ a $ on one side of the equation. To do this, divide both sides by 2.

Equation: $ 2a = 0 $
Divide both sides by 2: $ a = \frac{0}{2} $
Result: $ a = 0 $

By dividing both sides by the same number, you are applying the division operation to simplify the equation and find $ a = 0 $. This method shows that any real number multiplied by zero still results in zero. Thus, isolating the variable lets us solve the equation effectively.

Equation Verification

Once we find a solution for an equation, it鈥檚 crucial to re-check our work for accuracy by verifying it. Verification means substituting the solution back into the original equation to ensure both sides are equal. In this exercise, you discovered that $ a = 0 $.Now, replace $ a $ with 0 in the original equation:

Original Equation: $ 2a = 0 $
Substitute $ a $ with 0: $ 2 \times 0 = 0 $

Both sides of the equation are equal, confirming that our solution $ a = 0 $ is indeed correct. Verification is a simple yet essential step to catch any errors and ensure that the answer satisfies the original problem.

Prealgebra Concepts

Prealgebra provides the foundational skills needed to solve equations, focusing on basic arithmetic principles and understanding variables. One crucial concept from prealgebra is understanding operations like multiplication and division 鈥� as used in this equation.In the exercise, the task was to solve $ 2a = 0 $, which meant using division to isolate $ a $.

Multiplication: Recognize $ 2a $ as 2 times $ a $.
Division: Use division to "undo" the multiplication, a common technique to solve for variables.

Additionally, prealgebra introduces variables as placeholders for numbers in equations. Understanding these basics makes it easier to approach and solve linear equations, preparing students for higher-level math. The more comfortable you are with these concepts, the smoother you'll find solving equations.

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91影视

Solve and check. $$2 a=0$$

Short Answer

Step by step solution

Solve for a

Check the Solution

Key Concepts

Solving Equations

Equation Verification

Prealgebra Concepts

One App. One Place for Learning.

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