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Googolplex

A googolplex is an extraordinarily large positive integer defined mathematically as $10^{10^{100}}, or equivalently, the number 1 followed by a googol (which is $10^{100}) zeros.^[1] This notation represents a power tower where the exponentiation is evaluated from the top down, making it vastly larger than a googol itself.^[1] The term "googolplex" was coined in 1938 by American mathematician Edward Kasner (1878–1955), who drew inspiration from his nine-year-old nephew, Milton Sirotta, while seeking vivid names for immense numbers to engage public interest in mathematics.^[2] Originally, Sirotta whimsically suggested a "googolplex" as a 1 followed by as many zeros as one could write down before tiring, but Kasner refined it to the precise definition of 1 followed by a googol zeros to provide a concrete, reproducible large number.^[3] Kasner popularized the concept in his 1940 book Mathematics and the Imagination, co-authored with James R. Newman, where it served as an example to illustrate the scale of numbers beyond practical computation or visualization.^[2] Due to its immense size, a googolplex cannot be explicitly written out in standard decimal form, as there are only an estimated $10^{80} to $10^{82} atoms (or particles) in the observable universe—far fewer than the $10^{100} digits required, even if every particle were used to represent a digit.^[4] Although the universe's volume contains about $10^{185} Planck volumes, providing sufficient spatial capacity, the scarcity of matter makes physical inscription impossible.^[5] This physical impossibility underscores its role in discussions of infinity, combinatorics, and the limits of notation in mathematics, where it exemplifies a finite yet inconceivably vast quantity that dwarfs real-world scales. Despite its abstract nature, the googolplex remains a cultural touchstone for conveying the boundless potential of numerical growth.^[2]

Definition and Notation

Definition

A googolplex is defined as the number 10 raised to the power of a googol, where a googol is $10^{100}. This yields $10^{10^{100}}, equivalent to 1 followed by a googol (or $10^{100}) zeros.^[1] In mathematical notation, the expression $10^{10^{100}} follows the convention of right-associativity for exponentiation towers, meaning it is interpreted as $10^{(10^{100})}, not (10^{10})^{100} = 10^{1000}. This distinction ensures the intended immense scale, as the alternative grouping would result in a far smaller number.^[1] While a googol ($10^{100}) is itself an extraordinarily large number, a googolplex exceeds it by an unimaginable margin due to the exponentiation. The term googolplex was coined alongside googol to describe this escalation in magnitude.^[1]

Scientific Notation and Representation

The googolplex is expressed in scientific notation as $10^{10^{100}}, where the exponent $10^{100} is itself a googol, providing a concise way to denote this immensely large number without expanding it fully.^[1] In its expanded decimal form, the googolplex would appear as the digit 1 followed by exactly $10^{100} zeros; while this form is mathematically well-defined and conceptually straightforward, it is practically infeasible to write or store due to the prohibitive space and time required for such an extensive sequence of digits.^[1] The total number of digits in the googolplex is precisely $10^{100} + 1, reflecting the structure of powers of 10 in decimal representation.^[1] In Knuth's up-arrow notation, introduced by Donald Knuth in 1976 to handle iterated operations on large integers, the googolplex is equivalently written as $10 \uparrow 10^{100}, or $10 \uparrow googol, where the single up-arrow symbolizes standard exponentiation.^[6] This notation underscores the googolplex as a simple yet towering exponentiation, avoiding the need for even more elaborate hyperoperation symbols. Logarithmic scales offer another approach to approximation and visualization, with the base-10 logarithm simplifying to \log_{10}(10^{10^{100}}) = 10^{100}, reducing the googolplex's magnitude to that of a googol on the log scale and emphasizing the challenges in directly grasping its size.^[1]

Historical Origins

Coining of the Term

The term "googolplex" originated in 1920 from a conversation between nine-year-old Milton Sirotta and his uncle, American mathematician Edward Kasner, who was seeking playful names for extraordinarily large numbers to make mathematical concepts more accessible. While inventing "googol" for $10^{100}, Sirotta simultaneously proposed "googolplex" for an even vaster quantity, initially describing it as the number 1 followed by as many zeros as could be written before becoming too tired to continue.^[7] Kasner refined this informal idea into a precise definition: $10 raised to the power of a googol, or $10^{10^{100}}, emphasizing the exponential growth implied by the "plex" suffix, which evokes multiplicity or powering. The terms appeared in print for the first time in Kasner's article "New Names in Mathematics," published in the journal Scripta Mathematica (vol. 5, no. 1, 1938), where he explicitly credited his nephew's childhood creativity as the source.^[8] This origin story was elaborated in Kasner's 1940 book Mathematics and the Imagination, co-authored with James R. Newman, which recounts the interaction to illustrate how imagination aids mathematical communication. In the book, Kasner notes: "At the same time that he suggested 'googol' he gave a name for a still larger number: 'Googolplex'." The etymology stems from the whimsical "googol," possibly inspired by nonsensical sounds, extended with "plex" to denote its immense scale.^[9]

Early Popularization

The term googolplex first entered print in 1938 through Edward Kasner's article in Scripta Mathematica.^[8] However, its broader dissemination occurred with the publication of Mathematics and the Imagination in 1940, co-authored by Kasner and James R. Newman, which presented the concept to a general readership interested in mathematical curiosities.^[10] In this influential work, the authors detailed the term's origin from Kasner's nephew, Milton Sirotta, while formalizing its definition as $10^{10^{100}} to convey the vastness of exponential growth in an accessible manner.^[11] The book addressed early ambiguities surrounding the googolplex, such as Sirotta's initial playful suggestion of "one, followed by writing zeroes until you get tired," which Kasner and Newman refined to underscore its precise, immense scale—far beyond the already enormous googol of $10^{100}—preventing misconceptions about its relative magnitude in casual discourse.^[11] This clarification helped establish the googolplex as a standard example in popular science, distinguishing it from the googol by emphasizing how the former's exponentiation creates an unfathomably larger quantity, thereby aiding readers' conceptual grasp of large-scale numeration.^[12] By the mid-20th century, the googolplex influenced mathematics education and popular writing, notably through references in Martin Gardner's Mathematical Games columns in Scientific American, where it served as a benchmark for illustrating numbers too vast for physical representation.^[13] Its inclusion in dictionaries, such as the first known use recorded in 1937 by Merriam-Webster and later citations in the Oxford English Dictionary, reflected growing acceptance in mathematical lexicon by the 1950s, appearing in educational texts to teach exponentiation and number theory basics.^[14]^[15]

Mathematical Properties

Magnitude and Comparisons

A googolplex, defined as $10^{10^{100}}, vastly exceeds a googol, which is merely $10^{100} and thus has only 100 zeros following the leading 1, whereas a googolplex has a googol zeros—rendering the googol comparatively minuscule in scale.^[1]^[16] In terms of orders of magnitude, a googolplex dwarfs numbers arising in chemistry and physics, such as Avogadro's constant of exactly $6.02214076 \times 10^{23} particles per mole, by an unimaginable factor.^[17] Similarly, estimates place the total number of atoms in the observable universe at approximately $10^{80}, a figure still negligible when contrasted with the googolplex's exponentiation tower.^[18] Even the Shannon number, an upper bound on the possible unique games of chess estimated at around $10^{120}, pales by comparison, as the googolplex surpasses it by orders of magnitude beyond any practical enumeration.^[19] Among other famously large numbers in mathematics, a googolplex remains enormous yet is vastly smaller than Graham's number, an upper bound from Ramsey theory constructed via iterated Knuth up-arrow notation that exceeds the googolplex by hierarchies of growth.^[20]^[13] Likewise, TREE(3)—derived from the longest sequence of trees under Kruskal's theorem without embedded homeomorphic copies—dwarfs both the googolplex and Graham's number, residing at a level of hyperoperation far removed from simple exponentiation.^[21] The googolplex occupies a position in the fast-growing hierarchy corresponding to levels of iterated exponentiation, akin to values in the Ackermann function where A(4, n) produces tetrational growth; however, the Ackermann function itself escalates beyond this to higher ordinal notations, underscoring the googolplex's relative modesty within broader recursive growth schemes.^[22]

Modular Arithmetic

Computing the googolplex modulo n, denoted $10^{10^{100}} \mod n, leverages properties of modular exponentiation to simplify the enormous exponent $10^{100}. When \gcd(10, n) = 1, Euler's theorem applies: $10^{\phi(n)} \equiv 1 \mod n, where \phi is Euler's totient function, allowing reduction of the exponent modulo \phi(n). Thus, $10^{10^{100}} \equiv 10^{r} \mod n, where r = 10^{100} \mod \phi(n), and the exponent can be expressed as $10^{100} = \phi(n) \cdot k + r for some integer k with $0 \leq r < \phi(n).^[23] This reduction exploits the cyclic structure in the multiplicative group modulo n, but computing r itself may require further modular exponentiation if \phi(n) is large.^[24] For cases where \gcd(10, n) > 1, such as when n is divisible by 2 or 5, the power simplifies directly due to 10 sharing factors with n. For example, modulo 2, $10 \equiv 0 \mod 2, so $10^{10^{100}} \equiv 0 \mod 2 since the exponent exceeds 1. Similarly, modulo 5, $10 \equiv 0 \mod 5, yielding $10^{10^{100}} \equiv 0 \mod 5. In contrast, for moduli coprime to 10 like 3 or 9, patterns emerge from the base: $10 \equiv 1 \mod 3, so $10^{10^{100}} \equiv 1^{10^{100}} \equiv 1 \mod 3; likewise, $10 \equiv 1 \mod 9, giving $10^{10^{100}} \equiv 1 \mod 9. These equivalences hold for any positive exponent, highlighting how the exponential structure preserves the base's residue when it is 1 modulo n.^[25]^[26] For composite n, direct application of Euler's theorem is challenging without factorization, as \phi(n) depends on the prime factors of n. The Chinese Remainder Theorem (CRT) addresses this by decomposing the problem: if n = m_1 m_2 \cdots m_t where the m_i are pairwise coprime, compute $10^{10^{100}} \mod m_i for each i (using Euler's theorem if applicable or direct simplification), then combine the results via CRT to obtain the unique solution modulo n. This decomposition exploits the ring isomorphism \mathbb{Z}/n\mathbb{Z} \cong \prod \mathbb{Z}/m_i\mathbb{Z}, but requires knowing the factorization of n.^[27] Without prime factorization, computing $10^{10^{100}} \mod n remains intractable for large composite n, as it equates to solving the modular exponentiation problem central to cryptographic hardness assumptions like those in RSA.^[28]

Physical and Conceptual Scale

Limitations in the Observable Universe

The observable universe is estimated to contain approximately $10^{80} atoms (baryonic matter, consisting of protons, neutrons, and electrons), with the total number of fundamental particles, including photons and neutrinos, reaching about $10^{89}.^[29] This figure is derived from cosmological models incorporating the baryon density and the critical density of the universe. In stark contrast, a googolplex, defined as $10^{10^{100}}, requires writing out $10^{100} digits to express it explicitly in decimal form— a quantity that dwarfs the total number of particles available in the cosmos by an immense margin. Even considering the finest scales of space permitted by quantum gravity, the googolplex remains inexpressible within the observable universe. The Planck volume, the smallest meaningful unit of volume at approximately $4.22 \times 10^{-105} cubic meters, represents a theoretical limit for spatial resolution. The observable universe has a volume of roughly $4 \times 10^{80} cubic meters, yielding about $10^{185} Planck volumes in total.^[30] If each such volume could hypothetically store a single digit of the googolplex, this would still fall orders of magnitude short of the required $10^{100} digits when constrained by information limits. Temporal constraints further underscore the impossibility. The age of the universe is 13.8 billion years ($4.35 \times 10^{17} seconds) as of 2025, based on measurements from cosmic microwave background data.^[31] The Planck time, the shortest conceivable interval at about $5.39 \times 10^{-44} seconds, sets a fundamental limit on the rate of physical processes. Over the universe's lifetime, this allows for \approx 10^{61} such intervals sequentially at one location; across the entire cosmos, with \approx 10^{185} Planck volumes enabling parallelism, the total could reach \approx 10^{246} such intervals. However, even this vastly exceeds practical limits, and the information-theoretic Bekenstein bound remains the stricter constraint. From an information-theoretic perspective, the Bekenstein bound imposes an absolute limit on the entropy or storable information within a given region, scaling with the area of its boundary. For the observable universe, this bound equates to an entropy of roughly $10^{122} in units of Boltzmann's constant, corresponding to approximately $10^{122} bits of information. Encoding the googolplex's $10^{100} digits would demand at least \log_2(10) \times 10^{100} \approx 3.32 \times 10^{100} bits, vastly exceeding this universal cap and rendering physical storage infeasible.

Impossibility of Explicit Enumeration

The explicit enumeration of a googolplex, defined as $10^{10^{100}}, faces insurmountable informational and computational barriers, even abstracting from physical constraints. Each decimal digit requires approximately \log_2(10) \approx 3.32 bits to store in binary form, leading to a total storage demand of roughly $3.32 \times 10^{100} bits for all $10^{100} + 1 digits.^[32] This quantity vastly surpasses the information capacity of any feasible data structure or memory system, as it exceeds the total bits representable by exponentially smaller finite resources.^[32] Generating the digits of a googolplex is theoretically straightforward, as the number consists of a leading 1 followed by exactly $10^{100} zeros, requiring no complex arithmetic beyond the definition itself. An algorithm to output this—such as printing "1" and then looping $10^{100} times to print "0"—exists and is computable in the mathematical sense, with a time complexity dominated by the output length, on the order of O(10^{100}) operations.^[33] However, even optimized exponentiation methods, like binary exponentiation for computing powers, would encounter intermediate representations or output phases that scale with the number's magnitude, rendering full enumeration infeasible due to the sheer volume of steps required.^[34] In hypothetical scenarios with unlimited computational time, the finite availability of matter for storage or output devices would still impose a hard limit, preventing complete listing despite the algorithm's decidability. This contrasts sharply with uncomputable constants like Chaitin's \Omega, the halting probability of a universal Turing machine, whose digits cannot be generated by any algorithm to arbitrary precision due to undecidability in the halting problem—whereas a googolplex's digits are fully determinable but practically unlistable owing to their finite yet hyper-enormous extent.^[35] Philosophically, the googolplex exemplifies a finite integer that is explicitly constructible within mathematics via its power-tower notation, allowing precise manipulation in compact forms, yet defies practical enumeration as an "explicit" written expansion, highlighting the divide between theoretical definability and operational realizability.^[32]

Cultural and Educational Impact

In Literature and Media

In Carl Sagan's 1980 book Cosmos and its accompanying television series, the googolplex serves as a vivid illustration of the limits of human comprehension when confronting cosmic scales, with Sagan describing it as a number so vast that writing it out in full would require more space than the observable universe provides.^[36] The googolplex has appeared in science fiction literature as a motif for incomprehensible vastness, notably in Douglas Adams' The Hitchhiker's Guide to the Galaxy (1979), where a supercomputer named the Googleplex Starthinker— a playful misspelling evoking the googolplex— is depicted as capable of calculating trajectories across immense scales, underscoring themes of absurdity in infinity.^[37] The term has also influenced modern branding; the search engine company Google derives its name from a misspelling of "googol," and its headquarters is called the Googleplex, a portmanteau of "Google" and "complex" that nods to the googolplex.^[38] In Hans Magnus Enzensberger's children's novel The Number Devil: A Mathematical Adventure (1997), the titular character introduces the googolplex during dream sequences to engage a reluctant young learner with the wonders of escalating numerical magnitudes, blending whimsy with conceptual exploration.^[39] Popular media often exaggerates the googolplex's status, frequently misattributing it as the largest named number, though it is surpassed by constructs like the googolplexian (10 raised to the power of a googolplex) and far larger entities such as Graham's number.^[40] Post-2000 digital media has embraced the googolplex for analogies in data and scale, as seen in Numberphile's 2012 YouTube video "Googol and Googolplex," which uses it to explore hypothetical universes of that size, and Neil deGrasse Tyson's 2020 explainer video contrasting it with even larger numbers like Skewes' number to highlight exponential growth.^[41] Similarly, TEDx speaker Justin Solonynka's 2011 talk "Big Numbers" invokes the googolplex to demonstrate the intuitive challenges of grasping extreme quantities in everyday contexts like computing power.^[42]

Educational Role in Numeracy

The googolplex, defined as $10^{10^{100}}, serves as a powerful tool in mathematics education for illustrating the exponential growth of numbers and the limitations of standard numeration systems. Educators introduce it to students typically in grades 4 through 6, when concepts of powers of 10 and scientific notation are covered, to build intuition about vast scales beyond everyday counting. By comparing it to smaller large numbers like millions or billions, teachers demonstrate how exponents enable concise representation of immense quantities, fostering a deeper understanding of place value and numerical hierarchy.^[43] In classroom activities, the googolplex encourages exploration of number sense and imagination, as its full expansion—a 1 followed by $10^{100} zeros—exceeds the physical capacity of the observable universe to contain. Resources such as interactive problems prompt students to estimate or compare its magnitude to real-world phenomena, like the number of atoms in the universe (approximately $10^{80}), highlighting why such numbers are conceptual rather than practical for direct computation. This approach aids numeracy by shifting focus from rote memorization to conceptual grasp, using visualization techniques like the MegaPenny Project to analogize scale.^[44]^[45] Educational materials often incorporate the googolplex into hands-on tasks for ages 7–12, such as counting zeros in progressively larger numbers or naming them (e.g., googol as $10^{100}, leading to googolplex). These activities, designed for single-classroom use, reinforce place value through games or worksheets tied to literature like Can You Count to a Googol?, extending to discussions of why writing out a googolplex is impossible. Such exercises promote engagement with mathematical language and terminology, blending creativity with rigor to make abstract ideas accessible.^[46]^[47]^[48] Overall, the googolplex underscores the boundless nature of mathematics, bridging finite enumeration with ideas of infinity and encouraging students to appreciate the elegance of exponential notation in describing the indescribably large.^[44]

References

[1]
Googolplex -- from Wolfram MathWorld
Googolplex is a large number equal to 10^(10^(100)) (i.e., 1 with a googol number of 0s written after it). The term was coined in 1938 after 9-year-old ...Missing: definition | Show results with:definition
[2]
Science: Googol - Time Magazine
Kasner points out that no number is anywhere near infinity so long as it can actually or theoretically be written out. Since the googolplex could be written out ...
[3]
Knuth Up-Arrow Notation -- from Wolfram MathWorld
Knuth's up-arrow notation is a notation invented by Knuth (1976) to represent large numbers in which evaluation proceeds from the right.
[4]
A Googol by Any Other Name - Damn Interesting
Sep 22, 2016 · Mathematician Edward Kasner was searching for a simple name for a very large number. The number was a 1 with one hundred zeros after it.<|control11|><|separator|>
[5]
googol / Google - Wordorigins.org
Oct 21, 2020 · ... coined it and when. It was coined by Milton Sirotta, the nine-year-old nephew of mathematician Edward Kasner. Kasner introduced his nephew's ...Missing: date | Show results with:date
[6]
Mathematics and the Imagination - Google Books
Read, highlight, and take notes, across web, tablet, and phone. Go to Google Play Now ». Mathematics and the Imagination. Front Cover. Edward Kasner, James Roy ...Missing: googol | Show results with:googol
[7]
Edward Kasner (1878 - 1955) - Biography - MacTutor
At the same time that he suggested "googol" he gave a name for a still larger number: "Googolplex." A googolplex is much larger than a googol, but is still ...
[8]
Largest named number | Guinness World Records
Kasner then suggested an ever larger number, which he dubbed the "googolplex", and initially defined it as a 1 followed by as many zeros as it takes to make ...
[9]
Googol, googolplex — & Google | Live Science
May 13, 2013 · A googol equals 1 followed by 100 zeros. Googol is a mathematical term to describe a huge quantity. It is not an incorrect spelling of the ...
[10]
Too big to write but not too big for Graham | plus.maths.org
Sep 4, 2014 · As Kasner, and his colleague James Newman, said of the googolplex (in their wonderful 1940s book Mathematics and the imagination which ...Missing: excerpt | Show results with:excerpt
[11]
https://mathshistory.st-andrews.ac.uk/Biographies/Kasner/
[12]
googolplex, n. meanings, etymology and more
The earliest known use of the noun googolplex is in the 1930s. OED's only evidence for googolplex is from 1937, in the writing of E. Kasner. See etymology ...
[13]
Googol -- from Wolfram MathWorld
The term was coined in 1938 by 9-year-old Milton Sirotta, nephew of Edward Kasner (Kasner 1989, pp. ... and Newman, J. R. Mathematics and the Imagination. Redmond ...Missing: quote | Show results with:quote
[14]
Avogadro constant - CODATA Value
Numerical value, 6.022 140 76 x 1023 mol ; Standard uncertainty, (exact) ; Relative standard uncertainty, (exact).
[15]
How many atoms are in the observable universe? - Live Science
Jul 10, 2021 · This gives us 10^82 atoms in the observable universe. To put that into context, that is ...Missing: reliable | Show results with:reliable
[16]
XXII. Programming a computer for playing chess
Programming a computer for playing chess. Claude E. Shannon Bell Telephone Laboratories, Inc., Murray Hill, N.J.. Pages 256-275 | Received 08 Nov 1949 ...
[17]
AMS :: Transactions of the American Mathematical Society
Ramsey's theorem for n -parameter sets. HTML articles powered by AMS MathViewer. by R. L. Graham and B. L. Rothschild: Trans. Amer. Math. Soc. 159 (1971) ...
[18]
How large is TREE(3)? - MathOverflow
Apr 12, 2012 · I believe I can state with some confidence that TREE(3) is larger than fϑ(Ωω,0)(n(4)), given a natural definition of f up to ϑ(Ωω,0).
[19]
Ackermann Function -- from Wolfram MathWorld
The Ackermann function is the simplest example of a well-defined total function which is computable but not primitive recursive.
[20]
[PDF] EULER'S THEOREM 1. Introduction Fermat's little ... - Keith Conrad
So the study of decimal expansions might be what led Gauss to discover modular arithmetic in the first place. Page 8. 8. KEITH CONRAD. First generalization. For ...
[21]
[PDF] Modular Arithmetic
The expression a ≡ b (mod n), pronounced “a is congruent to b modulo n,” means that a − b is a multiple of n. For instance, (−43) − 37 = −80 so that ...
[22]
[PDF] modular arithmetic - keith conrad
k i=0 ci ≡ 0 mod 3. The key point is this: 10 ≡ 1 mod 3. Multiplying both sides of this congruence by themselves, 102 ≡ 12 mod 3, so 102 ≡ 1 mod 3. In ...
[23]
[PDF] Solutions to InClass Problems Week 6, Fri.
Oct 11, 2005 · Suppose the claim holds for some k ≥ 0; that is, 10k ≡ 1 (mod 9). Multiplying both sides by 10 gives 10k+1 ≡ 10 ≡ 1 (mod 9). So the claim holds ...
[24]
[PDF] Chinese remainder theorem - Keith Conrad
The Chinese remainder theorem says we can uniquely solve every pair of congruences having relatively prime moduli. Theorem 1.1. Let m and n be relatively prime ...<|control11|><|separator|>
[25]
Number Theory - The Chinese Remainder Theorem
The Chinese Remainder Theorem tells us there is always a unique solution up to a certain modulus, and describes how to find the solution efficiently.
[26]
How to Calculate the Disk Space Required to Store Googolplex?
Jun 2, 2011 · Googolplex is 1010100. Now, the number of bits required to store the number n is lgn (that is, log2n). We have: lg1010100=10100⋅lg10.
[27]
Print 1 followed by googolplex number of zeros - Stack Overflow
Jan 13, 2011 · We want to print out in base 10, the exact value of 10^(googolplex), one digit at a time on screen (mostly zeros). Describe an algorithm.
[28]
Complexity of exponentiation algorithm - Stack Overflow
Aug 31, 2021 · The algorithm is in fact called binary exponentiation and the complexity of it is log_2(y) as you mentioned. Multiplication of two numbers will usually be ...
[29]
What is the exact difference that makes Chaitin's number ...
Feb 25, 2023 · Now I am trying to compare this to the case of Chaitin's number Ω, which is uncomputable. Why exactly is x computable and Ω is not? As ...Irrationality measure of the Chaitin's constant Ω - Math Stack ExchangeUncomputable is Necessarily Transcendental? - Math Stack ExchangeMore results from math.stackexchange.comMissing: googolplex omega unlistable
[30]
Googleplex Starthinker - Hitchhikers | Fandom
... googolplex (often misspelt as googleplex), which is the number 10googol ... ” From Chapter 25 of The Hitchhiker's Guide to the Galaxy, Douglas Adams, 1979 ...
[31]
The Number Devil: A Mathematical Adventure - Google Books
In twelve dreams, Robert, a boy who hates math, meets a Number Devil, who leads him to discover the amazing world of numbers: infinite numbers, prime numbers, ...
[32]
On Googols and Google, Googolplex and Infinity - David Schwartz
Oct 26, 2009 · Googolplex may well designate the largest number named with a single word, but of course that doesn't make it the biggest number. In a last ...Missing: misconceptions | Show results with:misconceptions
[33]
Googol and Googolplex - Numberphile - YouTube
Feb 17, 2012 · We're talking pretty big numbers here... And an interesting idea about what it'd be like traveling in a Googolplex-sized Universe!Missing: modulo small examples
[34]
TEDxAFS-Justin Solonynka Big Numbers - YouTube
Jul 6, 2011 · ... TED-like experience. At a TEDx event, TEDTalks video and live speakers combine to spark deep discussion and connection in a small group ...Missing: googolplex explainers<|separator|>
[35]
What Is a Googolplex? A Kid-Friendly Math Definition - Mathnasium
A googolplex is the number 10 to the googol power. A googolplex is one of the largest named numbers in math. It's written as a 1 followed by a googol zeros. ...
[36]
[PDF] Simple Statements, Large Numbers - UNL Digital Commons
But a googol isn't even as large as a centillion. Mr. Kasner then used that new name to give a name to a number that is much larger, the “googolplex”. This is ...
[37]
Googol - NRICH - Millennium Mathematics Project
... use them to perform calculations involving very, very large numbers. A googol is a big number, but a googolplex, defined to be 10 googol is unimaginably larger.Missing: educational numeracy teaching
[38]
Counting Numbers up to Googolplex - India - Twinkl
التقييم ٥٫٠ (١) This is a fun resource for kids ages 7-12. They can count and write down the numbers of zeros in these figures. Also, what we call these big numbers.
[39]
Place Value Math Activity Can You Count to a Googol - TPT
التقييم ٤٫٧ (٣) This activity teaches children about place value and large numbers like million, billion, trillion, and a googol, the largest named number.
[40]
[PDF] The Australian Mathematics Teacher vol. 72 no. 1 - ERIC
The word googolplex came from googal, which was coined and then blended. ... Mathematics Education Research Journal, 13(2), 112–132. Gullburg, J. (1997) ...