Search for tag: "multiplication"

Simplifying a product of radical expressions: Multivariate

The combining of like factors from two radicals into one and then the simplification of the result.

From  Tom Grant 9 plays 0  

Introduction to simplifying a product of radical expressions: Univariate

Just a quick couple of examples, one explaining the relationship between squaring and square rooting and one that just shows how to multiply two radical expressions that need no reduction.

From  Tom Grant 8 plays 0  

Solving a rational equation that simplifies to quadratic: Binomial denominators, constant numerators

The key to solving this equation is eliminating the fractions first by multiplying by the least common denominator and dividingout equal factors. Note that the integer term must be multiplied by…

From  Tom Grant 18 plays 0  

Complex fraction made of sums involving rational expressions: Multivariate

Simplifies a complex fraction by distributing the LCD of each small fraction across the top and the bottom so that all small fractions can be swept away.

From  Tom Grant 14 plays 0  

Adding rational expressions with common denominators and binomial numerators

This demonstrates adding two rational expressions that have different terms individually in the numerator and a common denominator. When the fractions are added, it creates the possibility of adding…

From  Tom Grant 9 plays 0  

Dividing rational expressions involving linear expressions

A brief informal reasoning of why any division can be changed to a multiplication by reciprocating the second number or fraction, i. e. the number going into the other number. Then an example of…

From  Tom Grant 6 plays 0  

Dividing rational expressions involving multivariate monomials

A quick justification of dividing fractions by multiplying by the reciprocal of the second fraction in the division followed by an example that involves reducing the common factors in the numerator…

From  Tom Grant 5 plays 0  

Multiplying binomials with negative coefficients

A quick F.O.I.L. pattern to multiply two binomails. One of the variable terms is negative.

From  Tom Grant 19 plays 0  

Rewriting an algebraic expression without a negative exponent

Two examples of expressions with negative exponents that are changed to expressions with positive exponents, leaving the numerical factor as is.

From  Tom Grant 9 plays 0  

Introduction to the power of a product rule of exponents

A short demo of this rule

From  Tom Grant 5 plays 0  

Introduction to the product rule of exponents

The product rule is stated in general and then applied to an example.

From  Tom Grant 15 plays 0  

Multiplicative property of inequality with integers

This states the Multiplicative Propery of Inequality, then demonstates how it works with two examples.

From  Tom Grant 18 plays 0  

Translating a sentence into a multi-step equation

Shows how to interpret a verbal description into an mathematical equation.

From  Tom Grant 15 plays 0  

Writing a one-step expression for a real-world situation

Some discussion of vocabulary combined with writing a simple expression from a verbal description.

From  Tom Grant 7 plays 0  

Solving for a variable in terms of other variables using multiplication or division: Advanced

An examplel of how to rearrange a formula to better suit its particular purpose. Often we need to do this because it is easier to rearrange it once instead of having to solve for a variable each…

From  Tom Grant 6 plays 0  

Introduction to solving an equation with parentheses

A simpler version of an equation that needs distribution across a set of parenthese as the first step to solving for the variable

From  Tom Grant 7 plays 0