# V.02.Binary operator by a*b=a+8b

• MHB
• karush
In summary, the binary operator by a*b=a+8b is a mathematical expression that represents multiplying a number 'a' by 8 and then adding that product to 'b'. Its purpose is to perform mathematical calculations involving multiplication and addition in a simplified and efficient manner. It can be used with any type of numbers, whether they are integers, decimals, fractions, or variables. This binary operator is different from other mathematical operators because it combines both multiplication and addition in one expression and has its own set of rules and precedences. There are no specific limitations or restrictions when using this binary operator, but understanding the order of operations and using parentheses when necessary is important for obtaining the correct result.
karush
Gold Member
MHB
Define the binary operator * by:
$a*b=a+8b$
Find each of the following

(the only thing I knew to do here was plug in)
[a.] $3*5\quad =3+8(5)=3+40=43$
[b.] $7*7\quad =7+8(7)=7+56=83$
[c.] $5*3\quad =5+8(3)=5+24=29$
[d.] $x*z\quad =x+8z$

$7+56=63\ne83$. The rest is correct.

Mahalo

## 1. What is a binary operator?

A binary operator is a mathematical operation that takes two operands and produces a single result. Examples of binary operators include addition, subtraction, multiplication, and division.

## 2. How does the binary operator a*b=a+8b work?

The binary operator a*b=a+8b takes the values of a and b and adds 8 times the value of b to the value of a. The resulting value is then assigned to the variable a. For example, if a=2 and b=3, then a*b=a+8b would be evaluated as 2*3=2+8*3, resulting in a=26.

## 3. Why is the binary operator a*b=a+8b useful?

The binary operator a*b=a+8b can be useful in situations where adding 8 times the value of one variable to another variable is a common operation. It can also simplify mathematical expressions and make them easier to read and understand.

## 4. Can the binary operator a*b=a+8b be used with variables of different data types?

Yes, the binary operator a*b=a+8b can be used with variables of different data types as long as they can be converted to numbers. For example, if a is a string containing the value "2" and b is a number with the value 3, the expression a*b=a+8b would be evaluated as "2"*3="2"+8*3, resulting in a=26.

## 5. Are there any other variations of the binary operator a*b=a+8b?

Yes, there are many variations of the binary operator a*b=a+8b. For example, the operator could be changed to a*b=a*b+8, which would result in a different calculation. Additionally, the numbers used in the expression could be changed to different values, resulting in different outcomes.

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