Mastering Basic Arithmetic Operations A Comprehensive Guide

Arithmetic operations form the bedrock of mathematics, serving as the foundation for more advanced concepts. In this comprehensive guide, we will delve into various arithmetic problems, breaking them down step by step to ensure clarity and understanding. Whether you're a student looking to solidify your skills or an adult seeking a refresher, this article will provide you with the knowledge and confidence to tackle arithmetic challenges with ease.

(e) Subtract 20 from 24

In this arithmetic operation, subtraction is the key. We are tasked with finding the difference between 24 and 20. Subtraction involves taking away one number from another. To effectively subtract 20 from 24, we need to understand the concept of place value. The number 24 consists of two digits: 2 in the tens place and 4 in the ones place, while 20 has 2 in the tens place and 0 in the ones place. When we subtract, we align the numbers vertically, ensuring that the ones place digits are aligned and the tens place digits are aligned. Then, we subtract the digits in each column separately, starting from the rightmost column (the ones place). In this case, we subtract 0 from 4 in the ones place, which gives us 4. Next, we subtract 2 from 2 in the tens place, which results in 0. Therefore, the result of subtracting 20 from 24 is 4. This simple subtraction problem illustrates a fundamental arithmetic operation that is crucial for more complex calculations. Understanding the concept of place value and the mechanics of subtraction is essential for building a strong foundation in mathematics. Moreover, the ability to perform subtraction accurately and efficiently is not only important in academic settings but also in everyday life situations, such as managing finances or calculating discounts. By mastering this basic arithmetic operation, individuals can enhance their mathematical skills and problem-solving abilities.

(f) Divide 30 by 6 then add 9

This problem involves two arithmetic operations: division and addition. The order of operations is crucial here. According to the order of operations, division should be performed before addition. So, we first divide 30 by 6. Division is the process of splitting a number into equal groups. In this case, we want to find out how many groups of 6 are there in 30. We can think of division as the inverse operation of multiplication. The result of 30 divided by 6 is 5 because 6 multiplied by 5 equals 30. Now that we have the result of the division, we can move on to the addition part of the problem. We need to add 9 to the result of the division, which is 5. Addition is the process of combining two or more numbers to find their total. When we add 5 and 9, we get 14. Therefore, the final answer to the problem is 14. This problem highlights the importance of following the correct order of operations when solving arithmetic problems. Ignoring the order of operations can lead to incorrect answers. In this case, if we had added 6 and 9 first and then divided 30 by the result, we would have obtained a different answer. Thus, understanding and applying the order of operations is essential for accurate mathematical calculations. Furthermore, this problem demonstrates how different arithmetic operations can be combined to solve more complex problems. By mastering basic operations like division and addition, individuals can develop the ability to tackle a wide range of mathematical challenges.

(g) Divide 90 by 15 then subtract 2

Similar to the previous problem, this one also involves two arithmetic operations: division and subtraction. Following the order of operations, we perform division before subtraction. The first step is to divide 90 by 15. Division, as mentioned earlier, is the process of splitting a number into equal groups. In this scenario, we need to determine how many groups of 15 can be formed from 90. The result of 90 divided by 15 is 6, as 15 multiplied by 6 equals 90. Once we have completed the division, we move on to the subtraction step. We need to subtract 2 from the result of the division, which is 6. Subtraction, as we know, is the process of finding the difference between two numbers. Subtracting 2 from 6 gives us 4. Therefore, the final answer to this problem is 4. This problem further reinforces the significance of adhering to the correct order of operations in mathematical calculations. Performing the operations in the wrong order would lead to an incorrect result. For instance, if we had subtracted 2 from 90 first and then divided the result by 15, we would have obtained a different answer. Hence, it is crucial to follow the order of operations consistently to ensure accuracy. Furthermore, this problem illustrates how division and subtraction can be combined to solve more complex arithmetic problems. By mastering these basic operations, individuals can enhance their mathematical proficiency and problem-solving skills.

(h) Multiply the sum of 3 and 4 by 5

This problem involves addition and multiplication. The phrase