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Exponents

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  Exponents The  exponent  of a number says  how many times  to use the number in a multiplication.   In  8 2  the "2" says to use 8 twice in a multiplication, so  8 2  = 8 × 8 = 64 In words: 8 2  could be called "8 to the power 2" or "8 to the second power", or simply "8 squared" Exponents are also called Powers or Indices. Some more examples: Example:  5 3  = 5 × 5 × 5 = 125 In words: 5 3  could be called "5 to the third power", "5 to the power 3" or simply "5 cubed" Example:  2 4  = 2 × 2 × 2 × 2 = 16 In words: 2 4  could be called "2 to the fourth power" or "2 to the power 4" or simply "2 to the 4th"   Exponents make it easier to write and use many multiplications Example:  9 6  is easier to write and read than  9 × 9 × 9 × 9 × 9 × 9 You can multiply  any  number by itself  as many times  as you want using exponents. Try here: 3 4  = 3 × 3 × 3 × 3 = ...

Sets and Venn Diagrams

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Sets A  set  is a collection of things. For example, the items you wear is a set: these include hat, shirt, jacket, pants, and so on. You write sets inside  curly brackets  like this: {hat, shirt, jacket, pants, ...} You can also have sets of numbers: Set of  whole numbers : {0, 1, 2, 3, ...} Set of  prime numbers : {2, 3, 5, 7, 11, 13, 17, ...} Ten Best Friends You could have a set made up of your ten best friends: {alex, blair, casey, drew, erin, francis, glen, hunter, ira, jade} Each friend is an "element" (or "member") of the set. It is normal to use  lowercase letters  for them.   Now let's say that alex, casey, drew and hunter play  Soccer : Soccer = {alex, casey, drew, hunter} (It says the Set "Soccer" is made up of the elements alex, casey, drew and hunter.)   And casey, drew and jade play  Tennis : Tennis = {casey, drew, jade}   We can put their names in two separate circles: Union You can now list your friends t...

Trigonometry

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Trigonometry  (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.  LEARN MORE ABOUT  Trigonometry