A monomial is a polynomial that has just one term. So to add or subtract monomials, is the same as we add or subtract like terms (terms that have exactly the same variable part). Since we are dealing with monomials, the restriction is that the exponent(s) of the variable(s) must be positive integer(s).
Examples of monomials:
10xy, -5xy2, -3x2, 3w3z6, -7xy, -4x2, 2xy2, 9w3z6.
So, how to add or subtract them?
First detect where the like terms (monomials) are,
then group them (write them next to each other),
then combine (ad or subtract their coefficients, and write next to the result the common variable part).
10xy -7xy = 3xy (subtract since the coefficients have different sign).
-5xy2 +2xy2 = -3xy2 (subtract since the coefficients have different sign).
-3x2 -4x2 = -7x2 (add because the coefficients have the same sign).
3w3z6 + 9w3z6 = 12w3z6 (add because the coefficients have the same sign).
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two algebraic steps (not counting simplification steps) must be used to solve the problem. 1st step is adding or subtracting some quantity from both sides of the equation. 2nd step is multiplying or dividing by a number to solve.
MULTIPLY AND DIVIDE 1ST..THEN AFTER PERFORMING THIS STEPS YOU CAN NOW PROCEED WITH ADDING OR SUBTRACTING THE GIVEN NUMBERS NOTE: MULTYPLY AND DIVIDE IS EQUAL..... ADDITION AND SUBTRACTION IS ALSO EQUAL Example: = 9*5-100/5 =(45)-(20)
6.022 X 1023 - 6.022 X 1022 = 5.419 X 1023 ======================
Add the numerators, put the result on top of the common denominator.
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