-

*

/

%

Subtraction

Multiplication

Division

Modulus (also called remainder)

Notice:  no exponent!  While there is no exponentiation symbol in Java, there is a Math.pow( ) method which will be discussed later.

The MODULUS Operator %

The modulus operator finds the modulus of its first operand with respect to the second.  That is, it produces the remainder of dividing the first value by the second value.  For example:

22 % 6 = 4 because 22 / 6 = 3 with a remainder of 4

Most of our work with the modulus operator will deal with integer values.
The modulus, however, may also be applied to doubles. 
6.3 % 4.8 = 1.5 because 6.3 / 4.8 = 1 with a remainder of 1.5

Be careful when performing integer division.  When dividing an integer by an integer, the Java answer will be an integer (not rounded). But mathematically, we know that an integer divided by an integer may not always be an integer (9 / 4 = 2.5), as integers are not closed under division.

Compare these divisions:  (5 is an integer while 5.0 is a double)

When an operation involves two types (as the mixed division shown above), the smaller type is converted to the larger type.  In the case above, the integer 5 was converted to a double type before the division occurred.


Mixed Mode Operations
Consider these examples: