Long Division - Steps, Examples
Long division is an important math idea which has many real-life utilizations in various fields. One of its main application is in finance, where it is used to figure out interest rates and determine loan payments. It is also used to work out investments, budgeting, and taxes, making it an important skill for everyone involved in finance.
In engineering, long division is applied to solve intricate challenges related to design, development, and construction. Engineers employ long division to calculate the loads that structures can bear, evaluate the strength of materials, and plan mechanical systems. It is also utilized in electrical engineering to figure out circuit parameters and design intricate circuits.
Long division is also essential in science, where it is utilized to calculate measurements and execute scientific workings. For instance, astronomers use long division to figure out the distances between stars, and physicists utilize it to figure out the velocity of objects.
In algebra, long division is applied to factor polynomials and solve equations. It is a crucial tool for working out complex challenges that include huge numbers and requires precise calculations. It is also utilized in calculus to calculate derivatives and integrals.
Overall, long division is an essential math theory that has multiple real-life utilizations in several domains. It is a rudimental math function which is utilized to figure out complex problems and is a crucial skill for anyone keen in finance, engineering, science, or mathematics.
Why is Long Division Important?
Long division is an important mathematical concept that has several utilization in distinguished domains, including engineering, science and finance. It is an important mathematics function that is utilized to figure out a broad range of challenges, such as figuring out interest rates, measuring the length of time needed to complete a project, and finding the length traveled by an object.
Long division is also applied in algebra to factor polynomials and figure out equations. It is an essential tool for working out complicated challenges which consist of huge numbers and need precise calculations.
Steps Involved in Long Division
Here are the procedures 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 can 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 write the outcome beneath 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. Write the remainder (the amount remaining after the division) underneath the subtraction.
Step 5: Carry down the following digit or set of digits from the dividend and append it to the remainder.
Step 6: Repeat steps 2 to 5 until all the digits in the dividend have been refined.
Examples of Long Division
Here are few examples of long division:
Example 1: Divide 562 by 4.
Solution:
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.
Workings:
85
-----
21 | 1789
21
---
158
147
---
11
So, 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
Therefore, 3475 divided by 83 is 41 with a remainder of 25.
Common Mistakes in Long Division
Long division can be a difficult theory to conquer, and there are numerous general mistakes which students make when performing long division. One usual mistake is to forget to write down the remainder when dividing. One more usual mistake is to wrongly place the decimal point while dividing decimal numbers. Learners might further forget to carry over numbers while subtracting the product from the dividend.
To circumvent making these errors, it is essential to practice long division frequently and ready carefully ever stage of the procedure. It can also be helpful to revise your calculations using a calculator or by performing the division in reverse to assure that your solution is right.
Additionally, it is essential to understand the fundamental principles about long division, for example, the relationship among the dividend, divisor, quotient, and remainder. By conquering the essentials of long division and avoiding usual mistakes, anyone can better their skills and obtain confidence in their skill to work out complex problems.
Conclusion
In conclusion, long division is a crucial math idea which is essential for figuring out complicated problems in many domains. It is used in science, finance, engineering, and mathematics, making it an important skill for working professionals and students alike. By mastering the steps consisted in long division and comprehending how to apply them to real-life challenges, anyone can get a detailed comprehension of the complex workings of the world around us.
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