Millions and Billions and More (Oh My!)

We sometimes describe 1,100 as eleven hundred instead of one thousand, one hundred because it is easier to say. Just as 800 is equal to 8 x 100, 1,100 is 11 x 100.

A million is a thousand, thousand or 1000 x 1000 or 106. A billion is a thousand million or 109 and a trillion is a thousand billion or 1012.

Scientists theorize that the earth is 4.6 billion years old. That means it is 4,600,000,000 years old. We can also say that the earth is 4,600 million years old. This is a very large number. 4.6 billion inches is equal to 72,601 miles. A piece of string 72,601 miles long could be wound around the earth at the equator three times.

    hundreds     102     100
    thousands     103     1,000
    millions     106     1,000,000
    billions     109     1,000,000,000
    trillions     1012     1,000,000,000,000
    quadrillion     1015     1,000,000,000,000,000
    quintillion     1018     1,000,000,000,000,000,000
    sextillion     1021     1,000,000,000,000,000,000,000
    septillion     1024     1,000,000,000,000,000,000,000,000
    octillion     1027     1,000,000,000,000,000,000,000,000,000
    nontillion     1030     1,000,000,000,000,000,000,000,000,000,000
    decillion     1033     1,000,000,000,000,000,000,000,000,000,000,000
    undecillion     1036     1,000,000,000,000,000,000,000,000,000,000,000,000
    duodecillion     1039     1,000,000,000,000,000,000,000,000,000,000,000,000,000
    tredecillion     1042     1,000,000,000,000,000,000,000,000,000,000,000,000,000,000
    quattuordecillion     1045     1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
    quindecillion     1048     1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
    sexdecillion     1051     1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
    septendecillion     1054     1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
    octadecillion     1057     1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
    novemdecillion     1060     1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
    vigintillion     1063     1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

Resources:

Mr. Donn has an excellent website that includes a section on Prehistory.

Googol and Googolplex

In his 1940 book Mathematics and the Imagination, Edward Kasner coined a word for the digit 1 followed by 100 zeroes. Mathematical terms are often derived from ancient Greek or Roman words, but Kasner asked his nine-year old nephew, Milton to name a very big number. Milton’s word was Googol. Milton added that a googolplex was “one, followed by writing zeros until you get tired.” His uncle decided on a more formal definition of a googol as 10 raised to the power of a googol.

In 1997, Larry Page and Sergey Brin were searching for names for their new search engine. They wanted an Internet domain name that was not taken. As they brainstormed ideas, they considered Kasner’s term. A friend of Page and Brin confirmed that Kasner’s word was available, but misspelled it. This is how Google was named.

When Page and Brin constructed a corporate headquarters for their business, they named it “the GooglePlex.”

Sergey Brin and Larry Page

Sergey Brin (left) and Larry Page (both born 1973) are the founders of Google.