Renaming Fractions: Fractions Marking the Same Point on the Number Line
This clip uses the number line to explain that some fractions with different names, like 1/2 and 2/4, actually represent the same number.
Renaming Fractions: Multiplying Through
This clip explains that one way to rename a fraction is to multiply both numerator and denominator by the same non-zero number. This is called multiplying through by the number.
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 f..
Renaming Fractions: Summary: Renaming Fractions
This clip summarizes renaming fractions, explaining that numerators and denominators can be multiplied or divided by the same non-zero number without changing the value of the fraction. The clip concludes by stating that..
Renaming Fractions: Why Re-Name Fractions?
This clip explains that renaming fractions in higher terms is essential for adding, subtracting, or comparing two or more fractions. "On the other hand," the clip continues, "reducing fractions is mostly a matter of conv..
Replication
Philosopher Daniel Dennett talks about the importance of self-reproduction. When conditions are just right, he observes, collections of molecules can make copies of themselves. According to Professor Dennett, this starts..
Repressed Memories
Experimental psychologist and author Elizabeth Loftus is skeptical about cases in which people claim to recall horrific experiences that they've previously repressed. "I believe in many instances they are a product of su..
Republican Congress, The
Former Secretary of Labor and university professor Robert Reich talks about the abrupt changes that took place when the Republicans gained control of Congress in the 1994 congressional elections. "I had to stop a lot of ..
Republicanism and Freedom
Philosopher Michael Sandel talks about the republican conception of freedom, which he characterizes as one that emphasizes the importance of citizens sharing in self-government. Professor Sandel adds that this notion of ..
Republicanism: Aristotle and Hegel
Philosopher Michael Sandel talks about the sources of contemporary Republican theory. He briefly discusses Aristotle, who emphasized the importance for a full human life of sharing in self-rule. Professor Sandel also dis..