Subtract Sum Of 88756 And 10345 From 523400 A Math Problem
Understanding the Problem
In this mathematics problem, we are tasked with performing two operations: addition and subtraction. The core challenge is to first find the sum of two given numbers, 88756 and 10345, and then subtract this sum from another number, 523400. This requires a clear understanding of the order of operations, which is fundamental in arithmetic. Many real-world scenarios involve such calculations, making it an essential skill to master. This problem not only tests our ability to perform basic arithmetic operations but also our understanding of how these operations interact with each other. Let's break down the problem step by step to ensure a clear understanding of the process and the solution. We will first focus on the addition part, which involves adding 88756 and 10345. Then, we will take the result of this addition and subtract it from 523400. This methodical approach will help us avoid common mistakes and arrive at the correct answer efficiently. The problem also highlights the importance of accuracy in calculations. A small error in either the addition or subtraction step can lead to a significantly different final answer. Therefore, it's crucial to double-check each step to ensure that the calculations are correct. This attention to detail is a valuable skill not just in mathematics but in many other areas of life as well. This problem serves as a good exercise in practicing these skills and reinforcing our understanding of basic arithmetic principles.
Step 1: Calculate the Sum
The first step in solving this problem is to calculate the sum of 88756 and 10345. This involves adding the two numbers together, aligning the digits correctly by place value (ones, tens, hundreds, etc.). Let's perform the addition:
88756
+ 10345
-------
Starting from the rightmost column (the ones place), we add 6 and 5, which equals 11. We write down 1 in the ones place and carry over the 1 to the tens column. In the tens column, we have 5 + 4 + 1 (the carry-over), which equals 10. We write down 0 in the tens place and carry over the 1 to the hundreds column. Moving to the hundreds column, we add 7 + 3 + 1 (the carry-over), which equals 11. We write down 1 in the hundreds place and carry over the 1 to the thousands column. In the thousands column, we have 8 + 0 + 1 (the carry-over), which equals 9. We write down 9 in the thousands place. Finally, in the ten-thousands column, we have 8 + 1, which equals 9. We write down 9 in the ten-thousands place. Therefore, the sum of 88756 and 10345 is 99101. This is a crucial intermediate result that we will use in the next step. It's important to ensure that this sum is calculated correctly, as any error here will propagate through the rest of the problem. Double-checking the addition is a good practice to ensure accuracy. This step highlights the importance of place value in arithmetic operations. Aligning the digits correctly is essential for accurate addition. Understanding how to carry over digits from one column to the next is also a fundamental skill that is reinforced in this step.
Step 2: Perform the Subtraction
Now that we have the sum of 88756 and 10345, which is 99101, the next step is to subtract this sum from 523400. This involves subtracting 99101 from 523400. Let's set up the subtraction:
523400
- 99101
-------
Starting from the rightmost column (the ones place), we need to subtract 1 from 0. Since we can't do that directly, we need to borrow from the tens place. However, the tens place also has a 0, so we need to borrow from the hundreds place. The hundreds place has a 4, so we borrow 1 from it, making it 3, and give 10 to the tens place. Now the tens place has 10, and we borrow 1 from it, making it 9, and give 10 to the ones place. Now the ones place has 10, and we can subtract 1 from it, which equals 9. Moving to the tens place, we subtract 0 from 9, which equals 9. In the hundreds place, we subtract 1 from 3, which equals 2. In the thousands place, we need to subtract 9 from 3. Since we can't do that directly, we need to borrow from the ten-thousands place. The ten-thousands place has a 2, so we borrow 1 from it, making it 1, and give 10 to the thousands place. Now the thousands place has 13, and we can subtract 9 from it, which equals 4. Finally, in the ten-thousands place, we need to subtract 9 from 1. Since we can't do that directly, we need to borrow from the hundred-thousands place. The hundred-thousands place has a 5, so we borrow 1 from it, making it 4, and give 10 to the ten-thousands place. Now the ten-thousands place has 11, and we subtract 9 from it, which equals 2. Finally, we bring down the 4 from the hundred-thousands place. Therefore, the result of subtracting 99101 from 523400 is 424299. This is the final answer to the problem. This subtraction step demonstrates the importance of borrowing in subtraction, especially when dealing with numbers that have zeros in multiple places. It also highlights the need for careful attention to detail to avoid errors. Double-checking the subtraction is crucial to ensure the accuracy of the final answer. The process of borrowing can be tricky, so practicing these types of subtraction problems is essential for mastering this skill.
Final Answer
Therefore, subtracting the sum of 88756 and 10345 from 523400 gives us the final answer of 424299. This result is obtained by first adding 88756 and 10345 to get 99101, and then subtracting 99101 from 523400. This multi-step process requires careful attention to detail and a good understanding of both addition and subtraction. The final answer represents the difference between 523400 and the combined value of 88756 and 10345. It's important to present the final answer clearly and concisely, so that it is easily understood. The process of arriving at this answer has reinforced our understanding of arithmetic operations and the importance of accuracy in calculations. This problem serves as a valuable exercise in practicing these skills and building confidence in our ability to solve similar problems in the future. Understanding the steps involved and the reasoning behind each step is just as important as arriving at the correct answer. This comprehensive approach to problem-solving will be beneficial in tackling more complex mathematical challenges.
