Timeline of Battles and Treaties in Peloponnesian War

Timeline of Battles and Treaties in Peloponnesian War Theyd fought cooperatively against the Persian enemy during the prolonged Persian Wars, but afterward, relations, strained even then, fell further apart. Greek against Greek, the Peloponnesian War wore both sides down leading to a state where the leader of Macedonia and his sons, Philip and Alexander, could take control. The Peloponnesian War was fought between two groups of Greek allies. One was the Peloponnesian League, which had Sparta as its leader. The other leader was Athens, which controlled The Delian League. Before the Peloponnesian War (All dates in the 5th Century B.C.) 477 Aristides forms Delian League. 451 Athens and Sparta sign five-year treaty. 449 Persia and Athens sign peace treaty. 446 Athens and Sparta sign 30 years peace treaty. 432 Revolt of Potidaea. 1st Stage of the Peloponnesian War (Archidamian War) From 431-421 Athens (under Pericles and then Nicias) successful until 424. Athens makes little forays on the Peloponnese by sea and Sparta destroys areas in the countryside of Attica. Athens makes a disastrous expedition into Boeotia. They try to recover Amphipolis (422), unsuccessfully. Athens fears more of her allies would desert, so she signs a treaty (Peace of Nicias) that allows her to keep her face, basically setting things back to how they were before the war except for Plataea and Thracian towns. 431 Peloponnesian War begins. Siege of Potidaea. Plague in Athens. 429 Pericles dies. Siege of Plataea (-427) 428 Revolt of Mitylene. 427 Athenian Expedition to Sicily. [See map of Sicily and Sardinia.] 421 Peace of Nicias. 2nd Stage of the Peloponnesian War From 421-413 Corinth forms coalitions against Athens. Alcibiades stirs up trouble and is exiled. Betrays Athens to Sparta. Both sides seek the alliance of Argos but after the Battle of Mantinea, where Argos loses most of her military, Argos no longer matters, although she becomes an Athenia Ally. 415-413Â  - Athenian expedition to Syracuse. Sicily. 3rd Stage of the Peloponnesian War From 413-404 (Decelean War or Ionian War) Under the advice of Alcibiades, Sparta invades Attica, occupying the town of Decelea near Athens [source: Jona Lendering]. Athens continues to send ships and men to Sicily even though it is disastrous. Athens, which had started the war with the advantage in naval battle, loses his advantage to the Corinthians and Syracusans. Sparta then used Persian gold from Cyrus to build her fleet, stirs up trouble with Athenian allies in Ionia, and destroys the Athenian fleet at the Battle of Aegosotami. The Spartans are led by Lysander. 404 - Athens surrenders. Peloponnesian War Ends Athens loses its democratic government. Control is put into the Board of 30. Spartas subject allies have to pay 1000 talents annually. Thirty Tyrants rule Athens.

Understanding Very Large Numbers

Understanding Very Large Numbers Have you ever wondered what number comes after a trillion? Or how many zeros there are in a vigintillion? ​Some day you might need to know this for a science or math class, or if you happen to enter one of several mathematical or scientific fields.   Numbers Bigger Than a Trillion The digit zero plays an important role as you  count very large numbers. It helps to  track these multiples of 10  because the larger the number is, the more zeros are needed. Name Number of Zeros Groups of 3 Zeros Ten 1 0 Hundred 2 0 Thousand 3 1 (1,000) Ten thousand 4 1 (10,000) Hundred thousand 5 1 (100,000) Million 6 2 (1,000,000) Billion 9 3(1,000,000,000) Trillion 12 4 (1,000,000,000,000) Quadrillion 15 5 Quintillion 18 6 Sextillion 21 7 Septillion 24 8 Octillion 27 9 Nonillion 30 10 Decillion 33 11 Undecillion 36 12 Duodecillion 39 13 Tredecillion 42 14 Quattuordecillion 45 15 Quindecillion 48 16 Sexdecillion 51 17 Septen-decillion 54 18 Octodecillion 57 19 Novemdecillion 60 20 Vigintillion 63 21 Centillion 303 101 Grouping Zeros by Threes Many  people  find it easy to understand that the number 10 has one zero, 100 has two zeros, and 1,000 has three zeros. These numbers are used all the time in daily living, whether it is dealing with money or counting something as simple as our music playlist or the mileage on our cars. When you get to million, billion, and trillion, things become a little more complicated. How many zeros come after the one in a trillion? Its hard to keep track of that and count each individual zero, so  these long numbers  have been broken down into groups of three zeros. For example, its much easier to remember that a trillion is written with four sets of three zeros than it is to count out 12 separate zeros. While you might think that ones pretty simple, just wait until you have to count 27 zeros for an octillion or 303 zeros for a centillion. Then you will be thankful that you only have to remember 9 and 101 sets of three zeros, respectively. Powers of 10 Shortcut In mathematics  and science, you  can rely on the powers of 10 to quickly express exactly how many zeros are needed for these larger numbers. For example, a shortcut for writing out a trillion is 1012  (10 to the power of 12). The 12 indicates that the number  needs a total of 12 zeros. You can see how much easier these are to read than if there were just a bunch of zeros: Quintillion 1018 or 1,000,000,000,000,000,000Decillion 1033  or 1,000,000,000,000,000,000,000,000,000,000,000 Googol and Googolplex: The Enormous Numbers You are probably very familiar with the search engine and tech company Google. Did you know that the name was inspired by another very large number? Though the spelling is different, the  googol  and the  googolplex  played a role in the naming of the tech giant. A googol has 100 zeros and is expressed as 10100. It is often used to express any large quantity, even though it is a quantifiable number. It makes sense that the largest search engine that pulls a large quantity of data from the Internet would find this word useful. The term googol was coined by the American mathematician Edward Kasner in his 1940 book, Mathematics and the Imagination. The story goes that Kasner asked his then 9-year-old nephew, Milton Sirotta, what to name this ridiculously long number. Sirotta came up with  googol. But why is a googol important if its actually less than a centillion? Quite simply, a  googol is used to define a  googoolplex.  A googolplex is 10 to the power of googol, a number that boggles the mind. In fact, a googolplex is so large that theres really no known use for it. Some say that it even exceeds the total number of atoms in the universe. The googolplex is not even the largest number defined to date. Mathematicians  and scientists have also devised Grahams number and Skewes number. Both of these require a math degree to even begin to understand. Short and Long Scales of a Billion If you thought the concept of a googolplex is tricky, some people cannot even agree on what defines a billion. In the U.S. and most of the world, it is accepted that 1 billion equals 1,000 million. It  is written as 1,000,000,000 or 109. This number is used often in science and finance, and it is called the short scale. In the long scale, 1 billion is equal to 1 million million. For this number, you will need a 1 followed by 12 zeros: 1,000,000,000,000 or 1012. The long scale was first described by Genevieve Guitel in 1975. It is used in France and, for a time, was accepted in the United Kingdom as well.