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Journal articles on the topic 'Decimal composition of numbers'

Author: Grafiati

Published: 5 June 2025

Last updated: 1 August 2025

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1

Nadir Ibrahimov, Firadun, та Gunel Ogtay Aliyeva. "İbtidai məktəbdə üçrəqəmli ədədlərin birrəqəmli və ikirəqəmli bölünməsinin öyrədilməsi texnologiyasının alqoritmik əsasları". SCIENTIFIC WORK 75, № 2 (2022): 13–20. http://dx.doi.org/10.36719/2663-4619/75/13-20.

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In the articleThe relevance of the study of methodological aspects of the teaching of three-digit numbers in primary and one-digit numbers in primary grades based on algorithmic bases is substantiated. The scientific interpretation of the technology of formation of practical application of the section algorithm of the educational process in students in accordance with the expansion of the range of natural numbers in educational units is reflected in the students. Key words: decimal composition of numbers, divisible, divisible fortune and balance, incompletely divisible, sequential exit, sectio

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Uthaya, Sabita, Xinxue Liu, Daphne Babalis, et al. "Corrigendum: Nutritional Evaluation and Optimisation in Neonates (NEON) trial of amino acid regimen and intravenous lipid composition in preterm parenteral nutrition: a randomised double-blind controlled trial." Efficacy and Mechanism Evaluation 3, no. 2 (2017): 81–82. http://dx.doi.org/10.3310/eme03020-c201706.

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Abstract During the uploading of data for submission to the EudraCT results database, a discrepancy was identified. It was noted that the number of deaths per group was not consistent with the number in the final report and trial publication. This discrepancy was found to relate to two randomisation numbers. During the trial, the randomisation database had been held separately from the trial database, with manual transcription of randomisation numbers from the randomisation database to the trial database. Two randomisation numbers had been entered incorrectly into the trial database and, altho

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Krebs, Georgina, Sarah Squire, and Peter Bryant. "Children's understanding of the additive composition of number and of the decimal structure: what is the relationship?" International Journal of Educational Research 39, no. 7 (2003): 677–94. http://dx.doi.org/10.1016/j.ijer.2004.10.003.

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Ibrahimov, F., and A. Imanova. "ALGORITHMIC FOUNDATIONS OF EXPECTATIONS OF SYSTEMATICITY AND CONSISTENCY IN TEACHING DIVISION OPERATIONS OVER NATURAL NUMBERS." Scientific heritage, no. 89 (May 24, 2022): 54–60. https://doi.org/10.5281/zenodo.6575790.

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The article substantiates the relevance of the algorithmic basis of the expectation of systematicity and consistency in teaching division actions over natural numbers, based on the expansion of the range of natural numbers on educational units it adequately explains the algorithmic basis for anticipating and systematizing the sequence of elements reflected in the learners’ ability to perform division operation.

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Olexander, Brunetkin, Davydov Valentin, Butenko Oleksandr, Lysiuk Ganna, and Bondarenko Andrii. "Determining the composition of burned gas using the method of constraints as a problem of model interpretation." Eastern-European Journal of Enterprise Technologies 3, no. 6(99) (2019): 22–30. https://doi.org/10.15587/1729-4061.2019.169219.

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This paper proposes a method for solving the problem on determining the unknown composition of a gaseous hydrocarbon fuel during its combustion in real time. The problem had been defined as the inverse, ill-posed problem. A technique for measuring technological parameters makes it possible to specify it as a complex interpretation problem. To solve it, a "library" method has been selected (selection), which is the most universal one. To implement it, a method has been constructed to compile a library in the form of a working three-dimensional array. The source data for each solution

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Khudaikulova, Saida, and Dildora Niyazova. "EXPANSION OF NUMBERS." MEDICINE, PEDAGOGY AND TECHNOLOGY: THEORY AND PRACTICE 2, no. 12 (2024): 281–84. https://doi.org/10.5281/zenodo.14549577.

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The topic of expansion of numbers (or mathematical expansions)involves representing numbers in various forms and studying their interrelationships. This field is especially relevant in mathematical analysis and algebra. The study of number expansions primarily focuses on their fractional, rational, or decimal representations and exploring their logical and analytical properties. Key concepts in number expansions include decimal expansions, fractional expansions, and periodic expansions. Decimal expansions are particularly important for calculating precise values in the real number system.Fract

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Pulungan, Riska Oktaviani Tristania. "LEARNING OBSTACLE SISWA SEKOLAH DASAR PADA MATERI BILANGAN DESIMAL." Journal of Professional Elementary Education 2, no. 1 (2023): 33–40. http://dx.doi.org/10.46306/jpee.v2i1.25.

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Understanding decimal numbers is very important to have. Many things in everyday life involve the concept of decimal numbers. Limitations in interpreting decimal numbers can result in errors, such as inaccuracies in measurement activities. In addition, it can also cause obstacles in learning other mathematical material, such as geometry and statistics. Given the importance of understanding decimal numbers, elementary school students need to interpret them properly. This study aims to analyze student learning obstacles related to decimal number material. Through this research, it is hoped that

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Žakelj, Amalija, and Andreja Klančar. "Examining the Conceptual and Procedural Knowledge of Decimal Numbers in Sixth-Grade Elementary School Students." European Journal of Educational Research me-13-2024, me-13-issue-3-july-2024 (2024): 1227–45. http://dx.doi.org/10.12973/eu-jer.13.3.1227.

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<p style="text-align:justify">In this article, we present the results of empirical research using a combination of quantitative and qualitative methodology, in which we examined the achievements and difficulties of sixth-grade Slovenian primary school students in decimal numbers at the conceptual and procedural knowledge level. The achievements of the students (N = 100) showed that they statistically significantly (z = -7,53, p < .001) better mastered procedural knowledge (M = 0.60, SD = 0.22) than conceptual knowledge (M = 0.37, SD = 0.17) of decimal numbers. Difficulties are related

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Poon *, K. K., K. W. Yeung, and W. C. Shiu. "On the decimal numbers basen." International Journal of Mathematical Education in Science and Technology 36, no. 6 (2005): 601–5. http://dx.doi.org/10.1080/00207390500064031.

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Berend, D., and M. D. Boshernitzan. "Numbers with complicated decimal expansions." Acta Mathematica Hungarica 66, no. 1-2 (1995): 113–26. http://dx.doi.org/10.1007/bf01874357.

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Sigurd, Bengt. "Round numbers." Language in Society 17, no. 2 (1988): 243–52. http://dx.doi.org/10.1017/s0047404500012781.

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ABSTRACTNumbers are used for exact and approximative estimations. The numbers used in approximative expressions are typically so-called round numbers, such as 10, 20, 25, 30, 40, 50, 100, 1,000, and such numbers are also very frequent in texts. This article presents evidence that some numbers are rounder than others and discusses how the roundness of a number can be derived from its contents of the base number of the numeral System of the culture. A formula for deriving the roundness of a number is suggested, and some evidence that intuitions about roundness vary between vigesimal and decimal

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Dimri, Sushil Chandra, Umesh Kumar Tiwari, and Mangey Ram. "An Efficient Algorithm for 2-Dimensional Pattern Matching Problem." Journal of KONBiN 50, no. 2 (2020): 295–313. http://dx.doi.org/10.2478/jok-2020-0041.

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AbstractPattern matching is the area of computer science which deals with security and analysis of data. This work proposes two 2D pattern matching algorithms based on two different input domains. The first algorithm is for the case when the given pattern contains only two symbols, that is, binary symbols 0 and 1. The second algorithm is in the case when the given pattern contains decimal numbers, that is, the collection of symbols between 0 and 9. The algorithms proposed in this manuscript convert the given pattern into an equivalent binary or decimal number, correspondingly find the cofactor

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13

Sherzer, Laurence. "An Arithmetic Method for Converting Repeating Decimals to Fractions." Mathematics Teacher 82, no. 7 (1989): 574–76. http://dx.doi.org/10.5951/mt.82.7.0574.

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Students can easily use calculators to convert fra ctions to decimal numbers. But students who have studied the algebraic method of changing a repeating decimal to a fraction often find the method tedious and tend to avoid it. This difficulty raises questions about students' under standing of the nature of repeating decimal numbers. Do they know that all repeating decima ls are shown as a pproximations on the ca lculator display?

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Safinatunnaja, Safinatunnaja, Rahmah Johar, and Bahrun Bahrun. "Students Understanding on Decimal Number through Realistic Mathematics Education with Islamic Context at Primary School." Jurnal Pendidikan MIPA 26, no. 1 (2025): 736–53. https://doi.org/10.23960/jpmipa.v26i1.pp736-753.

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Decimal numbers are difficult to understand by elementary school students because they consider fractions and decimals as different things. Therefore, learning decimal fractions should be associated with real experiences to make it more meaningful, one of which is through realistic mathematics education (RME) with Islamic context. This study aims to analyze students' understanding and response to RME with Islamic context by using mixed method. The population of this study were fourth grade students in one of the integrated Islamic elementary schools in Banda Aceh, Indonesia. Data collection wa

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Kalapodi, A. "The decimal representation of real numbers." International Journal of Mathematical Education in Science and Technology 41, no. 7 (2010): 889–900. http://dx.doi.org/10.1080/0020739x.2010.486450.

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Takker, Shikha, and K. Subramaniam. "Knowledge demands in teaching decimal numbers." Journal of Mathematics Teacher Education 22, no. 3 (2017): 257–80. http://dx.doi.org/10.1007/s10857-017-9393-z.

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Mishra, Ravindra. "Navigating Number Systems for Computational Precision: An Analytical Exploration." Cognition 6, no. 1 (2024): 98–102. http://dx.doi.org/10.3126/cognition.v6i1.64445.

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The main objective of this article is to study all numbers that have occurred so far in the theoretical discussions were real (or complex) numbers in the strict mathematical sense. That is, they were to be conceived as infinite decimal fractions, or as Dedekind cuts. For the purposes of computation such numbers have to be approximated by real numbers of a rather special type, such as terminating decimal fractions, or other rational numbers. The present article is devoted to a study of the number systems that can be used for the purpose of computation.

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Barnett, Adrian G. "Missing the point: are journals using the ideal number of decimal places?" F1000Research 7 (April 11, 2018): 450. http://dx.doi.org/10.12688/f1000research.14488.1.

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Background: The scientific literature is growing in volume and reducing in readability. Poorly presented numbers decrease readability by either fatiguing the reader with too many decimal places, or confusing the reader by not using enough decimal places, and so making it difficult to comprehend differences between numbers. There are guidelines for the ideal number of decimal places, and in this paper I examine how often percents meet these guidelines. Methods: Percents were extracted from the abstracts of research articles published in 2017 in 23 selected journals. Percents were excluded if th

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Barnett, Adrian G. "Missing the point: are journals using the ideal number of decimal places?" F1000Research 7 (July 23, 2018): 450. http://dx.doi.org/10.12688/f1000research.14488.2.

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Background:The scientific literature is growing in volume and reducing in readability. Poorly presented numbers decrease readability by either fatiguing the reader with too many decimal places, or confusing the reader by not using enough decimal places, and so making it difficult to comprehend differences between numbers. There are guidelines for the ideal number of decimal places, and in this paper I examine how often percents meet these guidelines.Methods:Percents were extracted from the abstracts of research articles published in 2017 in 23 selected journals. Percents were excluded if they

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Barnett, Adrian G. "Missing the point: are journals using the ideal number of decimal places?" F1000Research 7 (August 10, 2018): 450. http://dx.doi.org/10.12688/f1000research.14488.3.

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Background: The scientific literature is growing in volume and reducing in readability. Poorly presented numbers decrease readability by either fatiguing the reader with too many decimal places, or confusing the reader by not using enough decimal places, and so making it difficult to comprehend differences between numbers. There are guidelines for the ideal number of decimal places, and in this paper I examine how often percents meet these guidelines.Methods: Percents were extracted from the abstracts of research articles published in 2017 in 23 selected journals. Percents were excluded if the

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Yim, Jaehoon. "On Teaching Calculation Methods for (Decimal Numbers)÷(Whole Numbers)." Journal of Educational Research in Mathematics 33, no. 1 (2023): 27–40. http://dx.doi.org/10.29275/jerm.2023.33.1.27.

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Ibrahimov, F., and K. Suleymanova. ""FRACTIONAL NUMBERS AND ACTIONS ON THEM" IN THE V CLASSES OF SECONDARY SCHOOLS TECHNOLOGY OF ASSIMILATION OF MATERIALS ON THE SUBJECT." Scientific heritage, no. 139 (June 25, 2024): 73–80. https://doi.org/10.5281/zenodo.12525991.

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In the article, the content of the skills intended to become the subject of students in the process of teaching materials on the subject of "Fractional numbers and operations on them", which is included in the content of the Mathematics subject in the V classes of general education schools, is presented. In the formation of the mentioned skills, attention is focused on the presence of content elements that carry the function of "opportunity" in the topic "Fractional numbers and actions on them" and the technology of turning them into actions in the students' cognition (adequate to the paradigm

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Abdurahman, Lutfi, and Tatang Herman. "SIXTH GRADE STUDENTS' MISCONCEPTIONS ON DECIMAL NUMBERS THROUGH ROUTINE EXERCISE QUESTIONS." Jurnal Cakrawala Pendas 10, no. 2 (2024): 282–95. http://dx.doi.org/10.31949/jcp.v10i2.8617.

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Mathematics is an important subject in elementary school because it is the basis for understanding more complex mathematical concepts in the future. One of them is that students need to study number material in basic mathematical concepts because it is very important to master and understand, for example it can be used in commerce, measurement and technology. However, in the field, elementary school students are still found to have misconceptions about understanding the concept of comparing, ordering or calculating decimal numbers. This research uses a qualitative approach with a case study me

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Gagatsis, Athanasios, Eleni Deliyianni, Iliada Elia, Areti Panaoura, and Paraskevi Michael-Chrysanthou. "Fostering Representational Flexibility in the Mathematical Working Space of Rational Numbers." Bolema: Boletim de Educação Matemática 30, no. 54 (2016): 287–307. http://dx.doi.org/10.1590/1980-4415v30n54a14.

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Abstract The study focuses on the cognitive level of Mathematical Working Space (MWS) and the component of the epistemological level related to semiotic representations in two mathematical domains of rational numbers: fraction and decimal number addition. Within this scope, it aims to explore how representational flexibility develops over time. A similar developmental pattern of four distinct hierarchical levels of student representational flexibility in both domains is identified. The findings indicate that the genesis of the semiotic axis in fraction and decimal addition is not automatic, bu

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Belin, Mervenur, and Gülseren Karagöz Akar. "Exploring Real Numbers as Rational Number Sequences With Prospective Mathematics Teachers." Mathematics Teacher Educator 9, no. 1 (2020): 63–87. http://dx.doi.org/10.5951/mte.2020.9999.

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The understandings prospective mathematics teachers develop by focusing on quantities and quantitative relationships within real numbers have the potential for enhancing their future students’ understanding of real numbers. In this article, we propose an instructional sequence that addresses quantitative relationships for the construction of real numbers as rational number sequences. We found that the instructional sequence enhanced prospective teachers’ understanding of real numbers by considering them as quantities and explaining them by using rational number sequences. In particular, result

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Zlatopolski, D. M. "Method for extracting square and cube roots in the binary number system." Informatics in school 1, no. 1 (2021): 42–45. http://dx.doi.org/10.32517/2221-1993-2021-20-1-42-45.

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The article describes in detail the methods of extracting square and cube roots in the binary number system. The method for extracting the square root of a binary number is similar to the corresponding method for decimal numbers, which is called the "column method". As for decimal numbers, when choosing the next digit of the root, twice the current value of the root, represented in the binary system, is used. When extracting the cube root (also "column"), there are two differences from the decimal system. The first is that instead of 300 (the product of 3 and 100), the binary number 1100 is us

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Fabulya, Zoltán. "Designing an Excel VBA function to recognize more important irrational numbers." Analecta Technica Szegedinensia 16, no. 1 (2022): 62–70. http://dx.doi.org/10.14232/analecta.2022.1.62-70.

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Calculations typically performed on a calculator or computer show the result as a decimal fraction if it is not an integer. It would be easier to interpret the result if a value could be expressed with integers and operations, such as the root subtraction operation. This article shows how this can be done with a developed algorithm in Microsoft Excel, which recognizes the most famous irrational numbers and displays them in text form together with the character of the operation sign. For example, “5√3/2” is given for 4.330127019. It is also useful to display irrational numbers with integers bec

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Glasgow, Robert, Gay Ragan, Wanda M. Fields, Robert Reys, and Deanna Wasman. "The Decimal Dilemma." Teaching Children Mathematics 7, no. 2 (2000): 89–93. http://dx.doi.org/10.5951/tcm.7.2.0089.

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If you are aware of the results given in the media reports about the Third International Mathematics and Science Study (TIMSS), you probably know that fourth graders from the United States (U.S.) scored above the international average in mathematics and that eighth and twelfth graders scored below average (Mullis et al. 1997). As an educator, you are aware of the dangers of looking only at averages of test scores. Rich information can be gleaned from the TIMSS data that will help us learn more about what our students know and are able to do. The data from a large-scale study, such as the TIMSS

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Sherzer, Laurence. "Expanding the Limits of the Calculator Display." Mathematics Teacher 79, no. 1 (1986): 20–21. http://dx.doi.org/10.5951/mt.79.1.0020.

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The decimal expansions of 1/7 or 5/13 can be found immediately on the average electronic calculator. These decimal expansions are limited to six digits before they begin to repeat. But what do we say to students who want to explore the repeating properties of rational numbers? What would we answer if they asked for the decimal expansion of 1/17 or 3/23? Do we just say, “Keep dividing and you'll find the answer”? Hardly. Long decimal expansions are usually left to actuaries who don't want to mismanage thousands of dollars over the life of an annuity or mortgage table, or to spacecraft engineers

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Tchórzewsk, Jerzy, and Dariusz Ruciński. "Quantum-inspired method of neural modeling of the day-ahead market of the Polish electricity exchange." Control and Cybernetics 50, no. 3 (2021): 383–99. http://dx.doi.org/10.2478/candc-2021-0023.

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Abstract The paper presents selected elements of a modelling methodology involving quantization, quantum calculations and dequantization on the example of the neural model of the Day-Ahead Market of the Polish Electricity Exchange. Based on the fundamental assumptions of quantum computing, a new method has been proposed here of converting the real numbers in decimal notation into quantum mixed numbers using the probability modules of quantum mixed number and the principle of superposition, along with a new method of quantum calculations using linear algebra and vectormatrix calculus, and the A

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INGELE G., EKONGO, BONKONO NGOY J., DINDABATU MUAMBA A, et al. "Evaluation of the Mathematical Skill among eight Standard Students: A case study of the pupils of the Town of Mbandaka, DR Congo." International Journal of Advances in Scientific Research and Engineering 08, no. 05 (2022): 102–10. http://dx.doi.org/10.31695/ijasre.2022.8.5.10.

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Being teachers of mathematical and physical sciences in some secondary schools of the Town of Mbandaka, we always noted the difficulties which certain pupils have to solve or calculate some problems utilizing the decimal numbers. This study aims at detecting the kinds of difficulties which these pupils of 8th year of basic Education in the Town of Mbandaka have, level of study by which the concepts in connection with the decimal numbers are exploited much. The investigations carried out within the framework of this research, lead us to conclude that the majority of our pupils of 8th year of th

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Revelly, Ravi. "Rise of the Gole Number System." Indian Journal of Advanced Mathematics 5, no. 1 (2025): 43–46. https://doi.org/10.54105/ijam.a1194.05010425.

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For centuries, the decimal number system served various applications, from basic counting to measuring astronomical distances. However, the efficient and humanfriendly representation of extremely large numbers remains a challenge. For instance, the distance between the Earth and the Moon is 384,400,000 meters, demanding nine digits in decimal representation. To address these challenges, this paper introduces a new number system called the Gole Number System. This new number system is based on an extended radix system, allowing for a compact and efficient representation of large numbers. Specif

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Bernal, Javier, and Christoph Witzgall. "Integer Representation of Decimal Numbers for Exact Computations." Journal of Research of the National Institute of Standards and Technology 111, no. 2 (2006): 79. http://dx.doi.org/10.6028/jres.111.006.

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Pyzalski, R., and M. Vala. "Conversion of Decimal Numbers to Irreducible Rational Fractions." SIAM Journal on Scientific and Statistical Computing 7, no. 2 (1986): 370–77. http://dx.doi.org/10.1137/0907026.

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Brisebarre, Nicolas, Christoph Lauter, Marc Mezzarobba, and Jean-Michel Muller. "Comparison between Binary and Decimal Floating-Point Numbers." IEEE Transactions on Computers 65, no. 7 (2016): 2032–44. http://dx.doi.org/10.1109/tc.2015.2479602.

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Döring, Andreas, and Wolfgang J. Paul. "Decimal adjustment of long numbers in constant time." Information Processing Letters 62, no. 3 (1997): 161–63. http://dx.doi.org/10.1016/s0020-0190(97)00052-5.

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Pierce, Robyn U., Vicki A. Steinle, Kaye C. Stacey, and Wanty Widjaja. "Understanding Decimal Numbers: A Foundation for Correct Calculations." International Journal of Nursing Education Scholarship 5, no. 1 (2008): 1–15. http://dx.doi.org/10.2202/1548-923x.1439.

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Beloozerov, V. N., and A. V. Shapkin. "Indices formal grammar of the Universal Decimal Classification." Bibliosphere, no. 4 (December 30, 2018): 106–10. http://dx.doi.org/10.20913/1815-3186-2018-4-106-110.

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The article proposes an algorithm for decoding and representation in natural language of the Universal Decimal Classifycation (UDC) complex class numbers. The algorithm is based on the formal definition of correct class numbers using a generative grammar, which sets the list of structures starting with simple table codes of UDC classes. Then separate integers, auxiliary and independent class numbers are sequentially attached to the codes with special symbols of relations of classes, which compose the complex class number. The algorithm expresses the values of the analyzed complex indices by de

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‘Amalya, Ghinayatul, Yulina Ismiyanti, and Yunita Sari. "EKSPLORASI PEMBELAJARAN BERBASIS INKUIRI DALAM MEMAHAMI PECAHAN DESIMAL DI SEKOLAH DASAR." SCHOOL EDUCATION JOURNAL PGSD FIP UNIMED 15, no. 2 (2025): 161–72. https://doi.org/10.24114/sejpgsd.v15i2.66277.

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Mathematics learning in elementary schools often faces challenges in improving students' understanding of the concept of decimal fractions. Conventional methods that focus more on procedural memorization tend to be less effective in helping students understand the relationship between ordinary fractions and decimal fractions. This study aims to explore the effectiveness of the application of the inquiry learning model with the help of student worksheets (LKPD) based on puzzles in improving the understanding of grade 4 students of SD Islam Sultan Agung 4 on decimal fractions. This study uses a

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Mohamad, Rotmianto. "Observing Optional Number in DDC Edition 23." Record and Library Journal 1, no. 1 (2018): 48. http://dx.doi.org/10.20473/rlj.v1-i1.2015.48-58.

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Dewey Decimal Classification is a most popular classification system in the world because of its completeness and most up-to-date. There are many optional number in this classification system, although it rarely to be discussed even it is important to known well about that optional number, especially for a librarian as classifier. This paper is a literature study about Dewey Decimal Classification Edition 23, to describe about optional numbers, particularly the number in relationship with Indonesia’s subject and discipline. This paper is to avoid misunderstanding in interpreted about optional

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Rotmianto, Mohamad. "Observing Optional Number in DDC Edition 23." Record and Library Journal 1, no. 1 (2015): 48. http://dx.doi.org/10.20473/rlj.v1i1.78.

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Dewey Decimal Classification is a most popular classification system in the world because of its completeness and most up-to-date. There are many optional number in this classification system, although it rarely to be discussed even it is important to known well about that optional number, especially for a librarian as classifier. This paper is a literature study about Dewey Decimal Classification Edition 23, to describe about optional numbers, particularly the number in relationship with Indonesia’s subject and discipline. This paper is to avoid misunderstanding in interpreted about optional

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Ravi, Revelly. "Rise of the Gole Number System." Indian Journal of Advanced Mathematics (IJAM) 5, no. 1 (2025): 43–46. https://doi.org/10.54105/ijam.A1194.05010425.

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<strong>Abstract:</strong> For centuries, the decimal number system served various applications, from basic counting to measuring astronomical distances. However, the efficient and humanfriendly representation of extremely large numbers remains a challenge. For instance, the distance between the Earth and the Moon is 384,400,000 meters, demanding nine digits in decimal representation. To address these challenges, this paper introduces a new number system called the Gole Number System. This new number system is based on an extended radix system, allowing for a compact and efficient representati

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McLean, K. Robin. "Blocks of decimal digits." Mathematical Gazette 102, no. 554 (2018): 198–202. http://dx.doi.org/10.1017/mag.2018.50.

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Recently a friend kindly made me a birthday card whose background consisted of rows and rows of digits, some 3000 in all. There appeared to be no discernible pattern in the digits. Perhaps they had been taken from a table of random numbers. They were certainly not the opening digits of the decimal parts of π or , although they might, so far as I knew, have been consecutive digits of either number in some section remote from the decimal point.On thinking about this, I realised that they must be the opening digits of the decimal part of the square root of some whole number. Indeed, they must be

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Pulungan, R. O. T., and D. Suryadi. "From integer to real numbers: students’ obstacles in understanding the decimal numbers." Journal of Physics: Conference Series 1157 (February 2019): 042086. http://dx.doi.org/10.1088/1742-6596/1157/4/042086.

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Zlatopolski, D. M. "Non-standard methods for converting numbers from one number system to another." Informatics in school 1, no. 9 (2020): 28–30. http://dx.doi.org/10.32517/2221-1993-2020-19-9-28-30.

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The article describes a number of little-known methods for translating natural numbers from one number system to another. The first is a method for converting large numbers from the decimal system to the binary system, based on multiple divisions of a given number and all intermediate quotients by 64 (or another number equal to 2n ), followed by writing the last quotient and the resulting remainders in binary form. Then two methods of mutual translation of decimal and binary numbers are described, based on the so-called «Horner scheme». An optimal variant of converting numbers into the binary

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Hanley, James A. "The (Im)precision of Life Expectancy Numbers." American Journal of Public Health 112, no. 8 (2022): 1151–60. http://dx.doi.org/10.2105/ajph.2022.306805.

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Life expectancy figures for countries and population segments are increasingly being reported to more decimal places and used as indicators of the strengths or failings of countries’ health and social systems. Reports seldom quantify their intrinsic statistical imprecision or the age-specific numbers of deaths that determine them. The SE formulas available to compute imprecision are all model based. This note adds a more intuitive data-based SE method and extends the jackknife to the analysis of event rates more generally. It also describes the relationships between the magnitude of the SE and

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Bahbouhi, Bouchab. "New Methods Based on the Calculation of Specific Decimal Fractions for Decomposing an Integer into a Product of Prime Factors." Journal of Robotics and Automation Research 5, no. 3 (2024): 01–19. https://doi.org/10.33140/jrar.05.03.03.

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This article presents for the first time two methods for decomposing integers in products of prime factors which are based on the calculation of decimal fractions. Its originality lies in the fact that the divisors used are decimals and not prime divisors and in addition the decimal part is manipulated in such a way that two decimal digits are fixed and the others are variable. In the first method, the divisors are of type 2n and which have a very interesting particularity which is that they always have two same digits at the end of their decimal parts (25 or 75). And it is this particularity

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Nan, Hai, Jiqiao Jiang, Jie Zhang, Ran Liu, and Aijuan Wang. "Conversion between Number Systems in Membrane Computing." Applied Sciences 13, no. 17 (2023): 9945. http://dx.doi.org/10.3390/app13179945.

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The number system is the representation method of numbers, and number system conversion is the most basic function of a computing system. The decimal system is the most commonly used number system; however, it may not necessarily be the most suitable number system in a computing system. This paper investigates the conversion methods between different number systems and designs corresponding cells, such as P systems, to implement them. The P systems we designed include Π10_2 and Π2_10 to implement conversion between decimal and binary, Π10_m and Πm_10 to implement conversion between decimal and

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Trojovský, Pavel. "Fibonacci Numbers with a Prescribed Block of Digits." Mathematics 8, no. 4 (2020): 639. http://dx.doi.org/10.3390/math8040639.

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In this paper, we prove that F 22 = 17711 is the largest Fibonacci number whose decimal expansion is of the form a b … b c … c . The proof uses lower bounds for linear forms in three logarithms of algebraic numbers and some tools from Diophantine approximation.

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Mehmetlioğlu, Deniz. "Misconceptions of Elementary School Students about Comparing Decimal Numbers." Procedia - Social and Behavioral Sciences 152 (October 2014): 569–74. http://dx.doi.org/10.1016/j.sbspro.2014.09.245.

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