Long Division - Steps, Examples
Long division is an essential math idea that has several real-world applications in various domains. One of its primary application is in finance, where it is applied to figure out interest rates and find out loan payments. It is also applied to calculate taxes, investments, and budgeting, making it a crucial skill for anybody working in finance.
In engineering, long division is utilized to figure out complex challenges in connection to design, development, and construction. Engineers employ long division to calculate the weight which structures can hold, assess the strength of materials, and design mechanical systems. It is also applied in electrical engineering to calculate circuit parameters and design complex circuits.
Long division is further essential in science, where it is utilized to calculate measurements and carry out scientific workings. For example, astronomers use long division to calculate the distances between stars, and physicists employ it to calculate the velocity of objects.
In algebra, long division is applied to factor polynomials and solve equations. It is an important tool for working out complex challenges that consist of huge values and need accurate calculations. It is further utilized in calculus to figure out derivatives and integrals.
In conclusion, long division is an essential mathematical concept that has several real-life uses in various domains. It is a rudimental mathematical operation which is applied to figure out complicated challenges and is an important skill for anyone interested in science, finance, engineering, or mathematics.
Why is Long Division Important?
Long division is a crucial mathematical idea that has many utilization in different domains, including finance, engineering, and science. It is an important mathematics function that is used to figure out a wide range of problems, for instance, calculating interest rates, determining the amount of time required to complete a project, and determining the length traveled by an object.
Long division is further used in algebra to factor polynomials and solve equations. It is an important tool for figuring out complicated problems that consist of huge values and requires accurate calculations.
Procedures Involved in Long Division
Here are the stages involved in long division:
Step 1: Write the dividend (the number being divided) on the left and the divisor (the number dividing the dividend) on the left.
Step 2: Figure out how many times the divisor could be divided into the first digit or set of digits of the dividend. Note down the quotient (the outcome of the division) above the digit or set of digits.
Step 3: Multiply the quotient by the divisor and note down the outcome below the digit or set of digits.
Step 4: Subtract the outcome achieved in step 3 from the digit or set of digits in the dividend. Note down the remainder (the amount remaining after the division) underneath the subtraction.
Step 5: Carry down the next digit or set of digits from the dividend and append it to the remainder.
Step 6: Replicate steps 2 to 5 unless all the digits in the dividend have been processed.
Examples of Long Division
Here are handful of examples of long division:
Example 1: Divide 562 by 4.
Solution:
140
--------
4 | 562
4
--
16
16
---
2
So, 562 divided by 4 is 140 with a remainder of 2.
Example 2: Divide 1789 by 21.
Workings:
85
-----
21 | 1789
21
---
158
147
---
11
As a result, 1789 divided by 21 is 85 with a remainder of 11.
Example 3: Divide 3475 by 83.
Workings:
41
-----
83 | 3475
3326
----
149
124
---
25
Thus, 3475 divided by 83 is 41 with a remainder of 25.
Common Mistakes in Long Division
Long division can be a challenging idea to master, and there are numerous ordinary mistakes that learners make when working with long division. One common error is to forget to write down the remainder when dividing. One more common error is to wrongly place the decimal point while dividing decimal numbers. Students might further forget to carry over numbers while subtracting the product from the dividend.
To circumvent making these errors, it is crucial to exercise long division frequently and be mindful of ever stage of the process. It can also be helpful to revise your calculations using a calculator or by working the division in reverse to ensure that your answer is right.
Furthermore, it is important to get a grasp of the fundamental principles about long division, for example, the relationship between the dividend, divisor, quotient, and remainder. By conquering the basics of long division and preventing usual mistakes, anyone can better their abilities and gain self-esteem in their skill to solve complicated challenges.
Conclusion
Finally, long division is an essential mathematical concept which is important for working out complex problems in several domains. It is applied in finance, engineering, science, and math, making it an important skill for working professionals and students alike. By mastering the steps involved in long division and comprehending how to use them to real-world problems, individuals can get a detailed understanding of the complicated workings of the world around us.
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