LET Reviewer: Addition of Integers

*ADDITION OF INTEGERS*

*An integer with no sign means a positive(+) integer*
Positive(+) plus Positive(+) equals Positive(+)
Ex. 1+2=3
Positive(+) plus Negative(-) equals Positive(+) or Negative(-) depending on the sign of the higher number of the given integers
Ex. 1-2 = -1 (2 is the higher number with a negative sign, so the sign must be negative)
Ex. 3-2 = 1 (3 is the higher number with a positive sign, so the sign must be positive)
Negative(-) plus Negative(-) equals Negative(-)
Ex. (-1)+(-2)= -3 *NOTE(-1)+(-2) is the same as -1-2 = +(-) = -
Negative(-) plus positive(+) equals Positive(+) or Negative(-) depending on the sign of the higher number of the given integers
Ex. -2+1=-1 (2 is the higher number with a negative sign, so the sign must be negative)
Ex. -2+3= 1 (3 is the higher number with a positive sign, so the sign must be positive)
*SUBTRACTION OF INTEGERS*
Positive(+) minus Positive(+) equals Positive(+) or Negative(-) depending on the sign of the higher number of the given integers
Ex. 2-1= 1 (2 is the higher number with a positive sign, so the sign must be positive)
Ex. 2-3= -1 (3 is the higher number with a negative sign, so the sign must be negative)
Positive(+) minus Negative(-) equals Positive(+)
Ex. 2-(-1) = 2+1= 3 *NOTE: -(-) = + 
Negative(-) minus Negative equals Positive(+) or Negative(-) depending on the sign of the higher number of the given integers
Ex. (-2)-(-1) = -2+1= -1 (2 is the higher number with a negative sign, so the sign must be negative). -(-)= +
Ex. (-5)-(-6) = -5+6 = 1 (6 is the higher number with a positive sign, so the sign must be positive)
Negative(-) minus Positive(+) equals Negative (-) *we have to copy the negative sign
Ex. -2-1 = -3 
Ex. -2-3 = -5
*MULTIPLICATION OF INTEGERS*
Like/Same signs = Positive(+)
Unlike signs/Different/Not the same signs= Negative(-)
Ex. 1 * 2 = 2 (1 & 2 possess both positive signs) (* means times) {1*2 is the same as (1)(2) & 1 X 2}(Positive times Positive equals Positive, that is like signs which need a positive sign)
Ex. 1 * -2 (1 with a positive sign & 2 with a negative sign) (Positive times Negative equals Negative, that is unlike signs which need a negative sign)
Ex. -1 * -2 (1 with a negative sign & 2 with a negative sign) (Negative times Negative equals Positive, that is like signs which need a Positive sign)
Ex. -1 * 2 (1 with a negative sign & 2 with a positive sign) (Negative times Positive equals Negative, that is unlike signs which need a Negative sign)
*DIVISION OF INTEGERS*
*SAME RULES IN MULTIPLICATION OF INTEGERS MUST BE APPLIED IN DIVISION OF INTEGERS*
Ex. 2 ÷ 1 = 1(Like signs= Positive sign)
Ex. 2 ÷ -1 = -1(Unlike signs= Negative sign)
Ex. -2 ÷ -1 = 1(Like signs= Positive sign)
Ex. -2 ÷ 1 = -1(Unlike signs= Negative sign)