Prime Numbers: Prime Factorizations
This clip explains that when the factorization of a whole number consists entirely of prime numbers (as with the number thirty, factored into two times three times five), the result is what's known as a prime factorization.
Adding Rational Expressions with Complicated Denominators
An example of adding rational expressions that have binomials and trinomials in the denominator is illustrated.
Adding Rational Expressions with Different Denominators
Rational expressions with different denominators are added and the procedure explained.
Additional Problem That Requires Factoring, An
A shortcut for working with rational expressions with a denominator that need to be factored is presented.
Adding Fractions with Different Denominators: Finding the Least Common Multiple
This clip explains the use of prime factorization in finding the least common multiple.
Monomials with Exponents Outside of Parentheses
The rule for raising a power to a power is demonstrated in simplifying a monomial in which an exponent is outside parentheses.
Multiplying Decimals: Exercises in Multiplying Decimals
This clip reviews the basic rules for multiplying decimals, then provides practice problems requiring the student to locate the decimal point. The clip also notes that, "
our rule for decimals is based on the rule for exponents."
Multiplying Signed Numbers: General Rule for Multiplying Signed Numbers
This clip explains that if two factors with the same sign are multiplied, the product is always positive. When two factors with different signs are multiplied, the product is always negative.
Multiplying Signed Numbers: Multiplying Three or More Signed Numbers
This clip explains that, when multiplying three or more signed numbers, if the number of negative factors is even, the product is positive. If it's odd, the product is negative.
Multiplying Signed Numbers: Other Ways of Indicating Multiplication by Signed Numbers
This clip explains that signs can sometimes be confused with orders to add or subtract. To avoid this, signed numbers are sometimes enclosed in parentheses. And, in some instances, if both factors are in parentheses, "
we sometimes leave out the mu...