Is the Calculation of $(3 \diamond 8) \square 2 = 1940$ Correct?

  • Context: MHB 
  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Binary Composite
Click For Summary
SUMMARY

The calculation of $(3 \diamond 8) \square 2$ is confirmed to be correct, resulting in 1940. The binary operator $\diamond$ is defined as $a \diamond b = 4a + 4b$, while the operator $\square$ is defined as $a \square b = a^2 + b^2$. Applying these definitions, $(3 \diamond 8)$ evaluates to 44, and subsequently, $(44) \square 2$ computes to $44^2 + 2^2$, which equals 1940.

PREREQUISITES
  • Understanding of binary operations in mathematics
  • Familiarity with algebraic expressions
  • Knowledge of operator definitions and their applications
  • Basic skills in arithmetic and exponentiation
NEXT STEPS
  • Explore advanced binary operations in mathematical contexts
  • Learn about operator precedence and its implications in calculations
  • Study the properties of algebraic expressions and their transformations
  • Investigate the use of custom operators in programming languages
USEFUL FOR

Mathematicians, educators, students studying algebra, and anyone interested in the application of custom binary operations.

karush
Gold Member
MHB
Messages
3,240
Reaction score
5
define the binary operater $\diamond$ by
$a\diamond b$=4a+4b
and $s\square b$ by $a\square b=a^2+b^2$
find
$(3\diamond 8)\square 2=
[(4(3)+4(8))^2 +2^2]=1940$
ok just want to see if this is correct
before i run thru the ribbon :unsure:
 
Last edited:
Mathematics news on Phys.org
This is correct.
 
1940
 

Similar threads

MHB What is the Binary Operator $\oplus$ and its Significance?
  • · Replies 3 ·
Replies
3
Views
1K
MHB Solving Quadratic Equations with Binary Operator $\otimes$
  • · Replies 6 ·
Replies
6
Views
2K
MHB For j >1 the first 2^j digits are correct
  • · Replies 4 ·
Replies
4
Views
1K
MHB Calculating Integral with Simpson's Rule for Error < $0.5\cdot 10^{-3}$
  • · Replies 6 ·
Replies
6
Views
2K
MHB For which n is the term an integer & Calculate the equivalence
  • · Replies 4 ·
Replies
4
Views
2K
MHB Are These Statistics Practice Answers Correct?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Kim's Questions on Babylonian Method for Estimating Square Roots
  • · Replies 1 ·
Replies
1
Views
6K
MHB Least squares method : approximation of a cubic polynomial
  • · Replies 3 ·
Replies
3
Views
3K
MHB Calculate ways to form a committee of 3 from 8, DIRECTLY WITHOUT ÷?
  • · Replies 1 ·
Replies
1
Views
2K
Calculate ways to form a committee of 3 from 8, without division?
  • · Replies 3 ·
Replies
3
Views
2K