Simplifying by Adding or Subtracting Common Radical Factors
A new guideline for simplifying radicals is introduced: the terms in a fully-simplified radical expression must have no common radical factors. Simplifying a radical expression by adding or subtracting common radical factors is illustrated.
Simplifying to Find a Common Radical Factor
The process of simplifying to find a common radical factor is demonstrated.
Multiplying Whole Numbers, Part 1: Summary: Multiplying Whole Numbers, Part One
This clip summarizes multiplication of whole numbers, including the relationship between addition and multiplication, the use of arrays, and the results when multiplying numbers by one or zero.
Multiplying Signed Numbers: Multiplying Negative Numbers by Positive Numbers
This clip explains that, as when multiplying whole numbers, we can re-arrange the factors as much as we like when multiplying signed numbers. This enables us to solve multiplication problems in which the first factor is negative and the second posit...
Multiplying Signed Numbers: Multiplying Positive Numbers by Negative Numbers
This clip explains that, to multiply a positive number and a negative number, "
multiply their absolute values and use the negative sign."
Multiplying Signed Numbers: Multiplying Two Numbers With Different Signs
This clip explains that, to multiply two numbers of different signs, in whatever order, "
first, multiply their absolute values, and then use the negative sign. We don't care which comes first, the positive number or the negative number."
Multiplying Whole Numbers, Part 3: Multiplying a Larger Number by a Single-Digit Number
This clip presents a simple multiplication problem in which a three-digit number is multiplied by a one-digit number. The clip explains that multiplication is essentially a shortcut for what would otherwise be a very laborious addition problem, then...
Multiplying Whole Numbers, Part 1: Introduction to Multiplication: Factors and Products
This clip explains that multiplication is "a shortcut for addition." It also introduces the concept of factors, and states that the answer in a multiplication problem is known as the "product."
Rules for Multiplying Two Monomials
The rule for multiplying two monomials and an example demonstrating its execution.
Multiplying Whole Numbers, Part 2: Practical Multiplication Problems
This clip presents practical problems which the student can try to solve using the facts presented thus far in the "Multiplying Whole Numbers" lesson.