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Sunday, May 17, 2020

How Many Zeros Are in a Million, Billion, and Trillion

Have ever wondered how many zeroes are in a million? A billion? A trillion? Do you know how many zeros there are in a vigintillion? Someday you may need to know this for science or math class. Then again, you might just want to impress a friend or teacher.   Numbers Bigger Than a Trillion The  digit zero  plays an important role as you count very large numbers. It helps track these multiples of 10 because the larger the number is, the more zeroes are needed. In the table below, the first column lists the name of the number, the second provides the number of zeros that follow the initial digit, and the third tells you how many groups of three zeros you would need to write out each number. Name Number of Zeros Groups of (3) Zeros Ten 1 (10) Hundred 2 (100) Thousand 3 1 (1,000) Ten thousand 4 (10,000) Hundred thousand 5 (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 Quatttuor-decillion 45 15 Quindecillion 48 16 Sexdecillion 51 17 Septen-decillion 54 18 Octodecillion 57 19 Novemdecillion 60 20 Vigintillion 63 21 Centillion 303 101 All of Those Zeroes A table like the one above can certainly be helpful in listing the names of all of the numbers depending on how many zeros they have. But it can be really mind-boggling to see just what some of those numbers look like. Below is a listing—including all the zeros—for the numbers up to decillion—a little more than just half the numbers listed in the above table. Ten: 10 (1 zero)Hundred: 100 (2 zeros)Thousand: 1000 (3 zeros)Ten thousand 10,000 (4 zeros)Hundred thousand 100,000 (5 zeros)Million 1,000,000 (6 zeros)Billion 1,000,000,000 (9 zeros)Trillion 1,000,000,000,000 (12 zeros)Quadrillion 1,000,000,000,000,000 (15 zeros)Quintillion 1,000,000,000,000,000,000 (18 zeros)Sextillion 1,000,000,000,000,000,000,000 (21 zeros)Septillion 1,000,000,000,000,000,000,000,000 (24 zeros)Octillion 1,000,000,000,000,000,000,000,000,000 (27 zeros)Nonillion 1,000,000,000,000,000,000,000,000,000,000 (30 zeros)Decillion 1,000,000,000,000,000,000,000,000,000,000,000 (33 zeros) Zeros Grouped in Sets of 3 Reference to sets of zeros is reserved for groupings of three zeros, meaning they are not relevant for smaller numbers. We write numbers with commas separating sets of three zeros so that its easier to read and understand the value. For example, you write one million as 1,000,000 rather than 1000000. As another 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 zeroes. While you might think that that one is pretty simple, just wait until you have to count 27 zeros for an octillion or 303 zeros for a centillion. It is then that you will be thankful that you only have to remember nine and 101 sets of zeros, respectively. Numbers With Very Large Numbers of Zeros The number googol (termed by  Milton Sirotta) has 100 zeros after it. Heres what a googol looks like, including all of its required zeros: 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 Do you think that number is big? How about the googolplex, which is a one followed by a googol of zeros. The googolplex is so large it doesnt have any meaningful use yet—it is larger than the number of atoms in the universe. Million and Billion: Some Differences In the United States—as well as around the world in science and finance—a billion is 1,000 million, which is written as a one followed by nine zeros. This is also called the short scale. There is also a long scale, which is used in France and was previously used in the United Kingdom, in which a billion means one million million. According to this definition of a billion, the number is written with a one followed by 12 zeros. The short scale and long scale were described by French mathematician Genevieve Guitel in 1975.

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