what is properties for division in integers?
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If ‘a’ and ‘b’ are any two integers, then ‘a’ ÷ ‘b’ is not necessarily an integer.
If ‘a’ and ‘b’ are any two integers, then ‘a’ ÷ ‘b’ is not necessarily an integer.For example:
If ‘a’ and ‘b’ are any two integers, then ‘a’ ÷ ‘b’ is not necessarily an integer.For example:(i) +12/+3 = +4, which is an integer.
If ‘a’ and ‘b’ are any two integers, then ‘a’ ÷ ‘b’ is not necessarily an integer.For example:(i) +12/+3 = +4, which is an integer.(ii) +45/-15 = -3 which is an integer.
2. If ‘a’ is not negative integer i.e., a ≠ 0; then ‘a ÷ a’ is always equal to unity (1).
2. If ‘a’ is not negative integer i.e., a ≠ 0; then ‘a ÷ a’ is always equal to unity (1).For example:
2. If ‘a’ is not negative integer i.e., a ≠ 0; then ‘a ÷ a’ is always equal to unity (1).For example:(i) (-3) ÷ (-3) = (+1) = 1
2. If ‘a’ is not negative integer i.e., a ≠ 0; then ‘a ÷ a’ is always equal to unity (1).For example:(i) (-3) ÷ (-3) = (+1) = 1(ii) (+9) ÷ (+9) = (+1) = 1
3. For any non-zero integer ‘a’, 0 ÷ a = 0, but a ÷ 0 is not defined.
3. For any non-zero integer ‘a’, 0 ÷ a = 0, but a ÷ 0 is not defined.When zero (0) is divided by any non-zero number, the result (quotient) is always zero and when any number is divided by zero (0), the result is not-defined.
3. For any non-zero integer ‘a’, 0 ÷ a = 0, but a ÷ 0 is not defined.When zero (0) is divided by any non-zero number, the result (quotient) is always zero and when any number is divided by zero (0), the result is not-defined.i.e., Zero/Any non-zero number = Zero and Any number/Zero = Not-defined
3. For any non-zero integer ‘a’, 0 ÷ a = 0, but a ÷ 0 is not defined.When zero (0) is divided by any non-zero number, the result (quotient) is always zero and when any number is divided by zero (0), the result is not-defined.i.e., Zero/Any non-zero number = Zero and Any number/Zero = Not-definedFor example:
3. For any non-zero integer ‘a’, 0 ÷ a = 0, but a ÷ 0 is not defined.When zero (0) is divided by any non-zero number, the result (quotient) is always zero and when any number is divided by zero (0), the result is not-defined.i.e., Zero/Any non-zero number = Zero and Any number/Zero = Not-definedFor example:(i) 0/12 = 0, 0/(-15) = 0, 0/123 = 0 and so on.