Algebra: Chapter 5, Lesson 3, page 214.
Multiplying and Dividing Monomials
A monomial is an expression that is either a NUMERAL, an VARIABLE or a PRODUCT of numerals and variables with whole number exponents. If the monomial is a numeral, we call it a CONSTANT.
Using the properties we had from yesterday, we can use the associative and commutative properties to multiply or divide monomials.
For example, `(3x)(4x)=(3⋅4⋅x⋅x)=12x^2` or
`(x^5)(x^-2) =x^(5-2)=x^3`
Here are some more examples too!
Two of tonight’s homework problems solved by MrE are here! Just click it!
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Algebra 1a: Chapter 4, Lesson 3, page 180.
The Multiplication Property of Inequalities
The property states if `c` is POSITIVE
- if `a < b`, then `ac < bc` and
- if `a > b`, then `ac > bc`
Where `c` is NEGATIVE
- if `a < b`, then `ac > bc` and
- if `a > b`, then `ac < bc`
Following the EXACT same steps as equalities, we have learned to solve 1 step equations with inequalities. The ONLY difference is when multiplying or dividing by a NEGATIVE number, we must REVERSE the sign of the inequality for the final solution!! If we divide or multiply by a positive number, we leave the inequality sign alone.
Here are some examples from purplemath.com that have to do with inequalities with products and divisions.
Two of tonight’s homework problems are solved by MrE for Chapter 4-3 as well!