Long Division - Steps, Examples
Long division is a crucial mathematical theory that has many real-world uses in various fields. One of its primary application is in finance, where it is utilized to figure out interest rates and find out loan payments. It is also utilized to work out taxes, investments, and budgeting, making it a crucial skill for everyone involved in finance.
In engineering, long division is applied to solve intricate challenges linked to design, development, and construction. Engineers employ long division to estimate the loads that structures can bear, assess the toughness of materials, and design mechanical networks. It is also utilized in electrical engineering to calculate circuit parameters and design intricate circuits.
Long division is further important in science, where it is utilized to calculate measurements and carry out scientific calculations. Such as astronomers apply long division to determine the distances between stars, and physicists utilize it to figure out the velocity of objects.
In algebra, long division is used to factor polynomials and solve equations. It is a crucial tool for figuring out complex problems which include large values and requires precise calculations. It is also applied in calculus to calculate integrals and derivatives.
In conclusion, long division is an essential mathematical concept that has several real-life utilizations in several domains. It is an essential arithmetic function that is used to solve complex problems and is an important skill for everyone keen in science, finance, engineering, or arithmetic.
Why is Long Division Important?
Long division is an essential mathematical concept that has several uses in different domains, involving engineering, science and finance. It is a fundamental mathematics function which is used to figure out a wide range of problems, such as calculating interest rates, measuring the length of time needed to finish a project, and figuring out the length traveled by an object.
Long division is further used in algebra to factor polynomials and figure out equations. It is an essential tool for solving complicated challenges that involve large values and requires exact calculations.
Stages 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 value 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. Write the quotient (the result of the division) prior the digit or set of digits.
Step 3: Multiply the quotient by the divisor and write the result below the digit or set of digits.
Step 4: Subtract the outcome obtained in step 3 from the digit or set of digits in the dividend. Note down the remainder (the amount remaining after the division) below the subtraction.
Step 5: Bring down the next digit or set of digits from the dividend and append it to the remainder.
Step 6: Replicate steps 2 to 5 until all the digits in the dividend have been refined.
Examples of Long Division
Here are handful of examples of long division:
Example 1: Divide 562 by 4.
Workings:
140
--------
4 | 562
4
--
16
16
---
2
As a result, 562 divided by 4 is 140 with a remainder of 2.
Example 2: Divide 1789 by 21.
Solution:
85
-----
21 | 1789
21
---
158
147
---
11
Thus, 1789 divided by 21 is 85 with a remainder of 11.
Example 3: Divide 3475 by 83.
Solution:
41
-----
83 | 3475
3326
----
149
124
---
25
As a result, 3475 divided by 83 is 41 with a remainder of 25.
Common Mistakes in Long Division
Long division can be a difficult concept to conquer, and there are many common mistakes that students make when working with long division. One common mistake is to forget to note down the remainder when dividing. Another common error is to wrongly place the decimal point while dividing decimal numbers. Learners might also forget to carry over values while subtracting the product within the dividend.
To avoid making these mistakes, it is important to practice long division regularly and be mindful of ever stage of the process. It can further be beneficial to revise your work using a calculator or by performing the division in reverse to ensure that your answer is correct.
Furthermore, it is important to understand the fundamental principles regarding long division, such as the relationship between the dividend, divisor, quotient, and remainder. By mastering the fundamentals of long division and preventing common mistakes, individuals can improve their abilities and gather self-esteem in their skill to work out complex problems.
Conclusion
In conclusion, long division is an essential math theory that is crucial for working out complicated problems in several domains. It is used in engineering, science, finance, and mathematics, making it a crucial ability for professionals and learners alike. By mastering the stages consisted in long division and understanding how to apply them to real-life problems, anyone can get a detailed comprehension of the complex workings of the world surrounding us.
If you need guidance comprehending long division or any other mathematical idea, Grade Potential Tutoring is here to guide you. Our adept instructors are available remotely or in-person to give personalized and productive tutoring services to help you succeed. Our teachers can assist you with the steps of long division and other math concepts, assist you work out complicated problems, and offer the tools you need to excel in your studies. Connect with us today to plan a tutoring lesson and take your math skills to the next stage.
