The Meaning of Percentage: Very Small Percentages
This clip explains how to deal with very small percents, such as those less than 1 percent. As an example, it uses one-fourth percent, which it states is one quarter of 1%. The clip then goes through the steps necessary to express that in decimal fo...
Petroleum Refining and Waste Minimization: Petroleum Refining
The first step in optimizing the refining process is determining the composition of the crude. The analysis identifies undesirable trace metals and minerals, like sulfur, which are detrimental to equipment. Since the various hydrocarbon chains foun...
Solving an Equation with the Least Common Denominator: Another Practice Problem
A problem is presented to practice solving an equation using the least common denominator to get a quadratic equation.
Solving Equations That Include Rational Expressions
To solve an equation with a rational expression, rewrite the equation to get rid of the fractions then solve the new equation. The same process is used to solve linear equations that contain rational expressions. If the solution makes any denominato...
Solving Systems with Fractions in the Equations
Systems of equations that contain fractions can be difficult to work with. Clearing the fractions in such a system by multiplying each equation by the least common denominator of the fractions in the equation can be a good strategy to employ.
Practical Problem: How Much Land to Buy
A practical problem involving the purchase of land is presented. The available information is organized into a table, an equation is written, then solved using the least common denominator to get a quadratic equation, and the solution checked.
Practical Problem: Homes and Apartments on 100 Acres
Calculating the number of houses and apartments that can be built on a 60-acre parcel of land given the amount of land allowed for each living unit is expressed in a system of equations involving fractions and solved using the least common denominat...
Practical Problem: How Long it Will Take to do Payroll
A work problem requires finding out how long it will take two workers with different work speeds to complete a task. The process of developing an equation and solving it are detailed.
Negative Exponents: Multiplication Involving Negative Exponents
This clip explains negative exponents and how to deal with them. "Think of the whole business as a fraction with a denominator of 1," the clip states. "Then, to change the sign of the exponent, just invert the fraction." The clip notes that, "
this...
Negative Exponents: Expanded Notation and Negative Exponents
This clip explains the use of negative exponents in expanded notation as a way of getting rid of fractions. As an example, the clip states that, "
7 times 1 over 10 becomes 7 times 10 to the power of negative 1. 8 times 1 over 10 to the power of 2 ...