Introducing Fractions: Fractions and Denominators
This clip explains that we can think of any whole number as a fraction with a denominator of 1, and any fraction with a denominator of 1 as a whole number. The clip also explains that we can't have fractions with a denominator of 0.
Introducing Fractions: More Uses of Fractions
This clip explores additional uses of fractions, such as expressing parts of a whole, representing division, and replacing remainders.
Understanding Decimal Fractions: Exponential Notation
This clip helps students better understand decimals and the power of 10 by using exponential notation to explain the relationship between the decimal point and the numbers that come before or after it.
Understanding Decimal Fractions: Reading Decimal Fractions: Using Fractions
This clip explains how to read and say decimals using fractions. It includes an example in which two fractions with different denominators are added. Their sum is expressed with their common denominator in the fraction that results.
Understanding Decimal Fractions: Why Use Decimal Fractions?
This clip explains that we work with decimal fractions because, "
our way of writing numbers depends on the number ten, so sticking with powers of 10 makes the arithmetic very easy."
Ratio and Proportion: Simplifying the Comparing of Fractions by Cross Multiplying
This clip explains that cross multiplying is a shortcut which allows us to determine if two fractions are the same. The fractions are compared by multiplying the numerator of each by the denominator of the other. If the products are the same, then t...
Ratio and Proportion: Problem In Which The Denominator Is Missing, A
This clip explains that, whether it's a numerator or a denominator that's missing, in order to be sure that "
we really have a proportion...the cross products must be equal."
Ratio and Proportion: Knowing Whether Two Fractions Are Equal
This clip explains that the way to find out whether two fractions are equal is to write them with a common denominator. If the numerators are equal, the fractions will be equal.
The Meaning of Percentage: Summary: The Meaning of Percentage
This clip summarizes the key points about percentage, stressing at the outset that it's practical to be able to view all fractions with the same denominator. The clip then talks about the different ways we can express the same value in decimal, frac...
Renaming Fractions: Reducing Fractions
This c lip explains the process of renaming fractions in lower terms, which is called "reducing" the fraction. While renaming fractions in higher terms is accomplished by multiplying through, renaming (or reducing) the fraction in lower terms is acc...