Long Divison and the rule of 78

  • Thread starter Thread starter Menomena
  • Start date Start date
Click For Summary
SUMMARY

The discussion centers on the calculation of the formula u = f k(k + 1)/n(n + 1) with specific values f = 700, k = 4, and n = 36. The user attempts to solve the equation but struggles with the division of 20 by 1332, mistakenly calculating it as 1332 divided by 20. The correct calculation yields approximately 0.015015015, which is crucial for obtaining the final result of u ≈ 10.51. The confusion highlights the importance of understanding the order of operations in mathematical calculations.

PREREQUISITES
  • Understanding of algebraic formulas and variables
  • Basic division and decimal calculations
  • Familiarity with the rule of 78 in financial mathematics
  • Knowledge of long division techniques
NEXT STEPS
  • Practice long division with various numerical examples
  • Review the rule of 78 and its applications in loan amortization
  • Learn how to properly use algebraic formulas in problem-solving
  • Explore common pitfalls in decimal division and how to avoid them
USEFUL FOR

Students learning algebra, educators teaching mathematical concepts, and anyone looking to improve their division and formula application skills.

Menomena
Messages
5
Reaction score
0

Homework Statement


u = f k(k + 1)/ n(n +1) f= 700, k =4, n=36


Homework Equations


u = 700 x 4(4 + 1)/36(36 + 1)


The Attempt at a Solution


700 x 20/1332 ≈ 10.51 I can't figure out how 20/1332 = 0.015015015, every time I divide it I get 0.0666, I literally have no clue how that is the answer. I feel so dumb.
 
Physics news on Phys.org
Menomena said:

Homework Statement


u = f k(k + 1)/ n(n +1) f= 700, k =4, n=36


Homework Equations


u = 700 x 4(4 + 1)/36(36 + 1)


The Attempt at a Solution


700 x 20/1332 ≈ 10.51 I can't figure out how 20/1332 = 0.015015015, every time I divide it I get 0.0666, I literally have no clue how that is the answer. I feel so dumb.
What does this have to do with long division or the rule of 78?

Are you actually doing long division?

What is so difficult about calculating 20/1332? It looks to me like you might be dividing 1332 by 20 (and getting the decimal places wrong) rather than dividing 20 by 1332.
 

Similar threads

Replies
10
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
18
Views
3K
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
Replies
13
Views
2K