Algebra: Chapter 1-5
Distributive Property of Mutiplication over Addition – Day 2
This was a major lesson in that it combined the use of the distributive property, factoring and combining like terms all in one package. REMEMBER, to add like terms, the variables in each term must be the same AS WELL AS the exponent of each variable. The number in front of the variable is the “coefficient” and a term with just a number is called a “constant”. We will get better and faster with practice and it is easier in the beginning of factoring to write out the common terms.
Intro to Algebra: Chapter 1-4
The Associative Property
We discussed the use of the Associative property by re-grouping terms in parenthesis. We also used both commutative and associative properties together to help simplify expressions for evaluation.
We looked for patterns in expressions again to help speed up our mental math computation speed.
Remember, the associative property ONLY holds true for addition and multiplication. Just like the commutative property, it doesn’t work for subtraction or division.
For any numbers a, b, and c, we have in equation forms for adding and multiplication:
`a + (b + c) = (a + b) + c` and `a * (b * c) = (a * b) * c`
and that the associative property DOES NOT work for subtraction and division!