Q6 Simplify Arithmetic Expressions Step By Step Solutions

In the realm of mathematics, arithmetic simplification stands as a fundamental skill, crucial for problem-solving and mathematical proficiency. This article delves into the intricacies of simplifying arithmetic expressions, focusing on a specific set of problems labeled as Q6. We will dissect each problem, providing step-by-step solutions and explanations to enhance your understanding and mastery of arithmetic simplification.

Q6.1: 83546 - 76421 + 68232

In this first problem of Q6, we embark on simplifying the arithmetic expression: 83546 - 76421 + 68232. To effectively tackle this, we adhere to the fundamental order of operations, which dictates that addition and subtraction are performed from left to right. This approach ensures that we maintain accuracy and arrive at the correct solution.

First, we address the subtraction operation: 83546 - 76421. Performing this subtraction, we get 7125. This intermediate result serves as the foundation for the next step in our simplification process. It's crucial to meticulously execute each step to avoid errors that can propagate through the rest of the calculation. Accuracy in these initial stages is paramount for achieving the correct final answer.

Next, we incorporate the addition operation: 7125 + 68232. Adding these two numbers together, we arrive at the final result: 75357. This outcome represents the simplified value of the original expression. By following the order of operations and carefully executing each step, we have successfully simplified the expression and obtained the correct answer. The process highlights the importance of methodical calculation in arithmetic simplification.

Therefore, the simplified value of the expression 83546 - 76421 + 68232 is 75357. This result underscores the power of step-by-step simplification in unraveling complex arithmetic expressions. By breaking down the problem into manageable parts, we can systematically arrive at the solution, ensuring accuracy and clarity in our calculations. This approach is not only effective for this specific problem but also serves as a valuable strategy for tackling a wide range of arithmetic challenges.

Q6.2: 576482 + 315247 - 297648

The second problem in our Q6 series presents us with the arithmetic expression: 576482 + 315247 - 297648. In simplifying this expression, we continue to follow the order of operations, performing addition and subtraction from left to right. This methodical approach ensures that we maintain the integrity of the calculation and arrive at the correct result. Let's break down the simplification process step by step.

We begin by addressing the addition operation: 576482 + 315247. Adding these two numbers together, we obtain an intermediate result of 891729. This sum becomes the starting point for the next operation in our simplification process. It's essential to double-check the addition to ensure accuracy, as any error at this stage will affect the final result. Precision in each step is key to successful simplification.

Next, we incorporate the subtraction operation: 891729 - 297648. Performing this subtraction, we arrive at the final simplified value: 594081. This outcome represents the solution to the original expression. By systematically working through the addition and subtraction, we have successfully simplified the expression and obtained the correct answer. The process demonstrates the importance of adhering to the order of operations and meticulously executing each step.

Thus, the simplified value of the expression 576482 + 315247 - 297648 is 594081. This result showcases the effectiveness of step-by-step simplification in handling arithmetic expressions. By breaking down the problem into smaller, more manageable parts, we can systematically arrive at the solution, ensuring accuracy and clarity in our calculations. This approach is not only applicable to this specific problem but also serves as a valuable strategy for tackling various arithmetic challenges.

Q6.3: 984521 - 34587 + 124754

Moving on to the third problem in Q6, we encounter the arithmetic expression: 984521 - 34587 + 124754. As with the previous problems, we will simplify this expression by following the order of operations, which dictates performing addition and subtraction from left to right. This approach ensures that we maintain accuracy and arrive at the correct solution. Let's break down the simplification process step by step.

We begin by addressing the subtraction operation: 984521 - 34587. Performing this subtraction, we obtain an intermediate result of 949934. This difference becomes the starting point for the next operation in our simplification process. It's essential to double-check the subtraction to ensure accuracy, as any error at this stage will affect the final result. Precision in each step is key to successful simplification.

Next, we incorporate the addition operation: 949934 + 124754. Adding these two numbers together, we arrive at the final simplified value: 1074688. This outcome represents the solution to the original expression. By systematically working through the subtraction and addition, we have successfully simplified the expression and obtained the correct answer. The process demonstrates the importance of adhering to the order of operations and meticulously executing each step.

Therefore, the simplified value of the expression 984521 - 34587 + 124754 is 1074688. This result showcases the effectiveness of step-by-step simplification in handling arithmetic expressions. By breaking down the problem into smaller, more manageable parts, we can systematically arrive at the solution, ensuring accuracy and clarity in our calculations. This approach is not only applicable to this specific problem but also serves as a valuable strategy for tackling various arithmetic challenges.

Q6.4: 675421 + 12178 - 457812

Finally, we arrive at the fourth problem in Q6, which presents us with the arithmetic expression: 675421 + 12178 - 457812. To simplify this expression, we will once again adhere to the order of operations, performing addition and subtraction from left to right. This consistent approach ensures accuracy and helps us arrive at the correct solution. Let's proceed with the simplification process step by step.

We begin by addressing the addition operation: 675421 + 12178. Adding these two numbers together, we obtain an intermediate result of 687599. This sum becomes the starting point for the next operation in our simplification process. It's crucial to double-check the addition to ensure accuracy, as any error at this stage will affect the final result. Precision in each step is paramount for successful simplification.

Next, we incorporate the subtraction operation: 687599 - 457812. Performing this subtraction, we arrive at the final simplified value: 229787. This outcome represents the solution to the original expression. By systematically working through the addition and subtraction, we have successfully simplified the expression and obtained the correct answer. The process demonstrates the importance of adhering to the order of operations and meticulously executing each step.

Thus, the simplified value of the expression 675421 + 12178 - 457812 is 229787. This result underscores the effectiveness of step-by-step simplification in unraveling arithmetic expressions. By breaking down the problem into manageable parts, we can systematically arrive at the solution, ensuring accuracy and clarity in our calculations. This approach is not only effective for this specific problem but also serves as a valuable strategy for tackling a wide range of arithmetic challenges.

Conclusion

In conclusion, the problems presented in Q6 provide a valuable exercise in mastering arithmetic simplification. By consistently applying the order of operations and meticulously executing each step, we can confidently tackle a wide range of arithmetic expressions. The step-by-step approach not only ensures accuracy but also enhances our understanding of the underlying mathematical principles. As we continue to practice and refine our skills, we will become more adept at simplifying complex expressions and solving mathematical problems with ease.