Nonnegative Integers

Introduction for non negative integers:

                      Non negative integers are defined as a numbers greater than zero, numbers at the right side of the zero. Thus the non negative integers are all the integers from zero on upwards, and the non negative real are all the real numbers from zero on upwards. The set of all non-negative integers forms a commutative mono id under addition. Non negative integers always proceed by a non negative sign (+). An integer with or without the non negative integers is always non negative.

Operations and Examples of Non negative Integers:

Operation for non negative integers:

          1. Reduce anything in the parentheses for solving

          2. Reduce the exponents for solve non negative integer.

          3. Multiplication or division for solve non negative integer.

          4. Finally, Addition or Subtraction for solve non negative integer.

Examples of non negative integers:

                   Integers are similar to whole numbers, but they also consist of negative numbers but still fractions are not allowed. So integers can be negative {-1, -2,-3, … }, positive {1, 2, 3, … }, or zero {0}.

Operations on Non negative Integers:

1. Adding non negative integers:

           Non negative + Non negative = Positive: 8 + 4 = 12

           Negative + Negative = Negative: (- 6) + (- 4) = - 10

           Addition of a negative and a non negative integer: Use the sign of the larger number and subtract, examples are,

           (- 5) + 3 = - 2

           7 + (-4) = 3

2. Subtracting non negative integers:

           Negative - Non negative = Negative: (- 4) - 2 = -4 + (-2) = -6

           Non negative - Negative = Non negative + Non negative = Non negative: 6 - (-2) = 6 + 2 = 8

           Negative - Negative = Negative + Non negative = Use the sign of the larger number and subtract (Change double negatives to a non negative)

          (-8) - (-3) = (-8) + 3 = -5

          (-3) - (-8) = (-3) + 8 = 5

3. Multiplying non negative integers:

           Non negative x Non negative = Non negative: 4 x 3 = 12

           Negative x Negative = Non negative: (-3) x (-2) = 6

           Negative x Non negative = Negative: (-3) x 3 = -9

           Non negative x Negative = Negative: 2 x (-5) = -10

4. Dividing non negative integers:

           Non negative ÷ Non negative = Positive: 14 ÷ 7 = 2

           Negative ÷ Negative = Non negative: (-12) ÷ (-4) = 3

           Negative ÷ Non negative = Negative: (-18) ÷ 3 = -6

           Non negative ÷ Negative = Negative: 15 ÷ (-3) = -5