# Search for tag: "fractions"

#### Exponents and signed fractions

Two examples of applying exponents to fractions in certain ways. Other examples should be investigated.

From  Tom Grant 4 plays 0

#### Identifying numbers as rational or irrational

A brief description of the difference between rational and irrational numbers followed by examples of number in both categories.

From  Tom Grant 5 plays 0

#### Identifying numbers as integers or non-integers

A brief description of what integers consist of followed by a list of numbers where it is decided whether each is an integer or not.

From  Tom Grant 5 plays 0

#### Rationalizing a denominator: Square root of a fraction

This discusses what rationals and irratioinals are, then goes on to demonstrate how to eliminate any radical number in the denominator.

From  Tom Grant 7 plays 0

#### Simplifying a quotient involving a sum or difference with a square root

This demonstrates creating a multiplication in the numerator of a rational expression that will allow the expression to be reduced by dividing like factors to simply one

From  Tom Grant 10 plays 0

#### Simplifying a quotient involving a sum or difference with a square root

Demonstrations that emphasize the fact that a fraction bar acts like parentheses in that the each part of the fraction must be factored so that there is a product of factors on both top and bottomof…

From  Tom Grant 9 plays 0

#### Rational exponents: Products and quotients with negative exponents

Shows how to manipulate fractional exponents in variou sways

From  Tom Grant 8 plays 0

#### Rational exponents: Non-unit fraction exponent with a whole number base

Two examples of how to apply a fractional exponent to a whole number base.

From  Tom Grant 10 plays 0

#### Solving for a variable in terms of other variables in a ratioinal equation: Problem type 3

This one demonstrates how to eliminate the rational parts of the equation as usual, then gather the terms with the chosen variable on one side of the equal sign so that it can be factored to one…

From  Tom Grant 16 plays 0

#### Solving for a variable in terms of other variables in a rational equation: Problem type 1

Demonstrates how to rearrange a proportion to isolate a chosen variable. Note that none of the variables are elliminated, simply moved to new positions.

From  Tom Grant 9 plays 0

#### Solving a rational equation that simplifies to linear: Factorable quadratic denominators

Demonstrates using factoring skills to separate and identify all of the necessary factors that make the LCD (Least common denominator) that can be used as a multiplier through a rational equation to…

From  Tom Grant 10 plays 0

#### Solving a ratioinal equation that simplifies to linear: Unlike binomial denominators

Shows how to find a common denominator to use as a multiplier for each term in a rational equation (an equation with fractions) to then eliminate the denotminators and the result will be a more…

From  Tom Grant 10 plays 0

#### Solving a rational equation that simplifies to linear: Like binomial denominators

This has two examples so that you can learn to watch out for what looks like a solution but is not because it creates division by zero if you check the answer in the original equation. The other…

From  Tom Grant 9 plays 0

#### Complex fraction with negative exponents: Problem type 2

This demonstrates how to convert negative exponents in a complex fraction to the reciprocal positive exponents and then use the LCD of all fractions to simplify.

From  Tom Grant 9 plays 0

#### Solving a rational equation that simplifies to linear: Denominators a, x, or ax

Demonstrates multiplying each term in a rational equation by the least common denominator of all fractions so that the denominators can be eliminated and the resulting linear equation can then be…

From  Tom Grant 17 plays 0

#### Solving a rational equation that simplifies to linear: Denominator x + a

Shows cross multipication of two single fractions set equat to each other to create a new equation that has no fractions and is then solvable by the typical methods.

From  Tom Grant 14 plays 0