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1

A, Mohamed Ali, and Maanvizhi P. "A study on multiplication operation on triangular fuzzy numbers." Journal of Computational Mathematica 5, no. 2 (2021): 55–62. http://dx.doi.org/10.26524/cm107.

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The arithmetic operations on fuzzy number are basic content in fuzzy mathematics. But still the operations of fuzzy arithmetic operations are not established. There are some arithmetic operations for computing fuzzy number. Certain are analytical methods and further are approximation methods. In this paper we, compare the multiplication operation on triangular fuzzy number between α-cut method and standard approximation method and give some examples.
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2

Krasnobayev, V. A., A. S. Yanko, and D. M. Kovalchuk. "METHODS FOR TABULAR IMPLEMENTATION OF ARITHMETIC OPERATIONS OF THE RESIDUES OF TWO NUMBERS REPRESENTED IN THE SYSTEM OF RESIDUAL CLASSES." Radio Electronics, Computer Science, Control, no. 4 (December 3, 2022): 18. http://dx.doi.org/10.15588/1607-3274-2022-4-2.

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Context. Implementation of modular arithmetic operations of addition, subtraction and multiplication by a tabular method based on the use of the tabular multiplication code. The object of the study is the process of tabular implementation of basic arithmetic operations on the residues of numbers represented in the system of residual classes.
 Objective. The goal of the work is to develop methods for the tabular implementation of the arithmetic operations of multiplication, addition and subtraction of the residues of two numbers based on the use of the tabular multiplication code.
 Me
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Chen, Xiong, and Ping Guo. "Spiking Neural P Systems for Basic Arithmetic Operations." Applied Sciences 13, no. 14 (2023): 8556. http://dx.doi.org/10.3390/app13148556.

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As a novel biological computing device, the Spiking Neural P system (SNPS) has powerful computing potential. The application of SNPS in the field of arithmetic operation has been a hot research topic in recent years. Researchers have proposed methods and systems for implementing basic arithmetic operations using SNPS. This paper studies four basic arithmetic operations, improves the parallelization of addition and multiplication methods, and designs more effective natural number addition and multiplication SNPS, as well as SNPS for subtraction and for division of natural numbers based on multi
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Gorbatiuk, Kateryna, Tetiana Zavhorodnia, Oksana Proskurovych, and Olha Mantalyuk. "Fuzzy arithmetic in economic research." SHS Web of Conferences 107 (2021): 05003. http://dx.doi.org/10.1051/shsconf/202110705003.

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Many tasks in economic research are based on arithmetic calculations of indicators that reflect the state of economic development. The general incompleteness of publicly available data, designed to solve such problems, has led to the emergence of numerous decision support systems based on fuzzy arithmetic. The article presents a study on the approach aimed at integrating fuzzy information about economic indicators into economic models. The definition of arithmetic operations on fuzzy values is given, and the methods of obtaining the resulting fuzzy indicators with the help of some software too
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Rusyani, Endang, Een Ratnengsih, Andri Syah Putra, Rina Maryanti, Dwi Fitria Al Husaeni, and Risti Ragadhita. "The Drilling Method Application Using Abacus to Arithmetic Operations Skills in Student with Hearing Impairment at Special School." Indonesian Journal of Community and Special Needs Education 2, no. 1 (2021): 1–10. http://dx.doi.org/10.17509/ijcsne.v2i1.37133.

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The purpose of this study was to determine the effect of the drilling method application using abacus in improving arithmetic subtraction operations skills in deaf children. This study used an experimental method with Single Subject Research (SSR), A-B-A design. The drilling method was used in the learning process. In addition, the abacus media was also used in the subtraction arithmetic operation material in learning mathematics. The results showed that there was an effect of applying the drilling method using abacus in improving the arithmetic subtraction operation skills in deaf children wi
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Lutz, Stephanie, Nikola Ebenbeck, and Markus Gebhardt. "Mathematical Skills of Students With Special Educational Needs in the Area of Learning (SEN-L) in Pre-Vocational Programs in Germany." International Journal for Research in Vocational Education and Training 10, no. 1 (2023): 1–23. http://dx.doi.org/10.13152/ijrvet.10.1.1.

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Context: Students with special educational needs in the area of learning (SEN-L) attend vocational trainings to be provided with qualifications for the labor market. Competences in arithmetic operations and comparing quantities such as weights and lengths are indispensable for obtaining a vocational qualification. Therefore, the study investigates whether students with SEN-L in Germany convert job-relevant quantities and master arithmetic operations accurately and with a certain speed before beginning vocational training. Methods: 152 students with SEN-L in pre-vocational training programs in
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Piegat, Andrzej, and Marcin Pluciński. "Fuzzy Number Addition with the Application of Horizontal Membership Functions." Scientific World Journal 2015 (2015): 1–16. http://dx.doi.org/10.1155/2015/367214.

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The paper presents addition of fuzzy numbers realised with the application of the multidimensional RDM arithmetic and horizontal membership functions (MFs). Fuzzy arithmetic (FA) is a very difficult task because operations should be performed here on multidimensional information granules. Instead, a lot of FA methods useα-cuts in connection with 1-dimensional classical interval arithmetic that operates not on multidimensional granules but on 1-dimensional intervals. Such approach causes difficulties in calculations and is a reason for arithmetical paradoxes. The multidimensional approach allow
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8

Fenika Ardiyani and Rora Rizki Wandini. "Miskonsepsi Pengerjaan Operasi Deret Aritmatika di Pgmi-3 Universitas Islam Negeri Sumatera Utara." Perspektif : Jurnal Pendidikan dan Ilmu Bahasa 2, no. 1 (2023): 67–72. http://dx.doi.org/10.59059/perspektif.v2i1.923.

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This study aims to identify misconceptions that may occur in working on arithmetic series operations among PGMI-3 students at UIN North Sumatra. Arithmetic series are an important topic in mathematics that is often used in various scientific contexts. However, misconceptions in understanding and performing arithmetic series operations can be an obstacle to strong understanding and problem-solving abilities. This research uses survey and test methods to identify misconceptions that generally arise when PGMI-3 students work on arithmetic series operations. The research results show that there ar
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Shoikhedbrod, Michael. "Programming Numerical Methods in Turbo Basic." Journal of Computer Science and System Software 1, no. 2 (2024): 18–24. http://dx.doi.org/10.48001/jocsss.2024.1218-24.

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Numerical computing is an approach to solving complex mathematical problems, including solving complex systems of differential and simple equations, calculating complex integrals, etc., using only simple arithmetic operations. This approach involves formulating mathematical models of physical situations that can be solved using arithmetic operations. It requires the development, analysis, and use of algorithms, programmed in computer programming languages. The main task of using a numerical solution method is to find a solution with the required accuracy. Numerical methods are also used to app
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10

Sheet, Lugen. "Review some engineering methods to facilitate basic mathematical operations." Journal of Science and Technology 29, no. 1 (2024): 73–77. http://dx.doi.org/10.20428/jst.v29i1.2355.

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The research reviews the most important engineering methods in basic mathematical calculations. In these methods, we will present several calculations, for example, the multiplication process and the division process between different quantities, to facilitate the arithmetic process for the primary and intermediate stages of school students. These methods are considered applied research to facilitate students’ memorization of multiplication and division tables.
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Pavlov, A. A., I. I. Korneev, M. I. Makeev, F. A. Pavlov, A. N. Tsarkov, and A. Yu Romanenko. "METHODICAL APPARATUS FOR PROTECTING AGAINST ERRORS OF PROCESSOR OF SPECIALIZED COMPUTERS." Vestnik komp'iuternykh i informatsionnykh tekhnologii, no. 225 (March 2023): 3–8. http://dx.doi.org/10.14489/vkit.2023.03.pp.003-008.

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An analysis of methods for detecting and correcting errors in specialized computers has been carried out, which shows that the most effective methods for detecting and correcting errors are corrective codes with syndromic decoding, which allows solving this problem using 10…30 % of hardware costs for these purposes. The possibility of using corrective codes to control the processor when performing arithmetic and logical operations, with the exception of the logical negation operation, has been established. The necessity of controlling the negation operation when constructing an additional code
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12

Harrison, John. "Floating-Point Verification." JUCS - Journal of Universal Computer Science 13, no. (5) (2007): 629–38. https://doi.org/10.3217/jucs-013-05-0629.

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This paper overviews the application of formal verification techniques to hardware ingeneral, and to floating-point hardware in particular. A specific challenge is to connect the usual mathematical view of continuous arithmetic operations with the discrete world, in a credible andverifiable way.
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Putri Puspitasari and Rora Rizky Wandini. "Miskonsepsi Pengerjaan Operasi Deret Aritmatika Di PGMI-3 Di UIN Sumatera Utara." ALFIHRIS : Jurnal Inspirasi Pendidikan 2, no. 2 (2024): 44–47. http://dx.doi.org/10.59246/alfihris.v2i2.756.

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Misconceptions are discrepancies or misunderstandings in understanding arithmetic series with scientists' understanding of concepts or concepts that are in accordance with the rules of arithmetic series. Students often make discrepancies or misunderstandings in calculating terms of arithmetic series. The research aims to determine the difficulties of PGMI 3 UIN North Sumatra students, totaling 39 students, in solving problems regarding arithmetic series with the aim of presenting material about arithmetic series. Basic concepts of arithmetic series, including general formulas and their propert
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14

Petkovic, Miodrag, Lidija Rancic, and Dusan Milosevic. "Laguerre-like methods for the simultaneous approximation of polynomial multiple zeros." Yugoslav Journal of Operations Research 16, no. 1 (2006): 31–44. http://dx.doi.org/10.2298/yjor0601031p.

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Two new methods of the fourth order for the simultaneous determination of multiple zeros of a polynomial are proposed. The presented methods are based on the fixed point relation of Laguerre's type and realized in ordinary complex arithmetic as well as circular complex interval arithmetic. The derived iterative formulas are suitable for the construction of modified methods with improved convergence rate with negligible additional operations. Very fast convergence of the considered methods is illustrated by two numerical examples.
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15

Curtis, Evan T., Matthew G. Huebner, and Jo-Anne LeFevre. "The relationship between problem size and fixation patterns during addition, subtraction, multiplication, and division." Journal of Numerical Cognition 2, no. 2 (2016): 91–115. http://dx.doi.org/10.5964/jnc.v2i2.17.

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Eye-tracking methods have only rarely been used to examine the online cognitive processing that occurs during mental arithmetic on simple arithmetic problems, that is, addition and multiplication problems with single-digit operands (e.g., operands 2 through 9; 2 + 3, 6 x 8) and the inverse subtraction and division problems (e.g., 5 – 3; 48 ÷ 6). Participants (N = 109) solved arithmetic problems from one of the four operations while their eye movements were recorded. We found three unique fixation patterns. During addition and multiplication, participants allocated half of their fixations to th
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16

Theresia Varenchi, Dwi Athana Suherman, Adrias Adrias, and Salmaini Putri Syam. "Analisis Kendala Peserta Didik dalam Menyelesaikan Soal Operasi Hitung Campuran pada Pembelajaran Matematika." Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa 3, no. 2 (2025): 84–93. https://doi.org/10.62383/bilangan.v3i2.467.

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This research aims to analyze students' learning difficulties in solving mathematical problems, especially in mixed arithmetic operations at the elementary school level. The method used is Systematic Literature Review (SLR), which collects and analyzes relevant previous research. The research results show that most students have difficulty in understanding questions and doing arithmetic operations, especially in the arithmetic operations section (90% of students have difficulties). Common mistakes include errors in concepts, procedures, and operations, caused by lack of understanding, inaccura
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17

Sovilj-Nikić, Sandra, and Jadranka Marinković. "The impact of the project-based learning method and the visual programming language Scratch on the achievements of preschool children in mastering arithmetic operations." Napredak 165, no. 3-4 (2024): 237–50. https://doi.org/10.59549/n.165.3-4.3.

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The research aims to determine how the application of the project-based learning method affects the achievements of preschool children in mastering the arithmetic operations of addition and subtraction, as well as to determine the impact of the use of the visual programming language Scratch on the development of logical thinking and progress in learning. The experimental research was carried out with preschool children aged 6 years. In the research, 30 children participated. They were divided into two equal groups. The first group of children conventionally learned arithmetic operations, while
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18

Fajaryna, Gusty Ekka, Ujang Jamaludin, and Reksa Adya Pribadi. "Analisis Pemahaman Konsep Oprasi Hitung Perkalian Pada Peserta Didik di Kelas IV SD Negeri Cikerut." Jurnal Dirosah Islamiyah 5, no. 3 (2023): 906–12. http://dx.doi.org/10.47467/jdi.v5i3.4183.

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The purpose of this study was to determine the understanding of the concept of multiplication arithmetic operations on students in class IV SD Negeri Cikerut. This research was conducted on fourth grade students at SD Negeri Cikerut from April to June 2023. The method used in this study was descriptive qualitative. The results of this study indicate that the factors causing the low understanding of multiplication arithmetic operations are students who are lazy to think. To overcome this the teacher provides motivation before entering the material. The teacher gives motivation that mathematics
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19

Wang, Jian-Qiang, Su-Min Yu, Jing Wang, Qing-Hui Chen, Hong-Yu Zhang, and Xiao-Hong Chen. "An Interval Type-2 Fuzzy Number Based Approach for Multi-Criteria Group Decision-Making Problems." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 23, no. 04 (2015): 565–88. http://dx.doi.org/10.1142/s0218488515500257.

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In this paper, a new approach is presented for solving multi-criteria group decision-making (MCGDM) problems, which is based on new arithmetic operations and the ranking rules of trapezoidal interval type-2 fuzzy numbers (IT2FNs). Firstly, the shortcomings of some existing arithmetic operations of trapezoidal IT2FNs are discussed along with their ranking methods, before some new arithmetic operations and ranking rules are proposed. Secondly, some new aggregation operators including the arithmetic averaging aggregation operator, the ordered weighted averaging aggregation operator and the hybrid
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20

Ufuoma, Okoh. "Bhaskara's Arithmetic Operation of Division by Zero with Application in the Foundation of the Differential Calculus." Journal of the Indian Mathematical Society 84, no. 3-4 (2017): 297. http://dx.doi.org/10.18311/jims/2017/15455.

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This article is concerned mainly with Bhaskara's arithmetic operation of division by zero. This is the simplest of all for teaching analysis and is the most consistent and philosophical. Some mathematicians have attempted to impugn it, but when I examined their reasonings, I observed that they have done so because they have failed to comprehend the true behavior of zero. In this article I have aimed to clarify and justify Bhaskara's law of impending operations involving zero and furnish hints at the foundations upon which the arithmetic operation of division by zero rests its claims to be pref
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21

S, Mrs Saranya. "Synthesis and Performance Characterization of a Pipelined 32-Bit Vedic Multiplier for High-Speed Digital Systems." INTERNATIONAL JOURNAL OF SCIENTIFIC RESEARCH IN ENGINEERING AND MANAGEMENT 09, no. 05 (2025): 1–9. https://doi.org/10.55041/ijsrem46909.

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Abstract— This paper introduces a high speed, area and power efficient approximation method for 32 bit arithmetic operations with a Vedic multiplier and parallel prefix adder (PPA). Vedic multiplication methods are highly recognized for their high-speed calculations, while parallel prefix adders offer lower latency in addition. By combining both methods, we introduced an optimized hardware architecture that offers lower area overhead without compromising computational efficiency. The proposed 32- bit arithmetic unit employing the Urdhva-Tiryagbhyam technique, multiplication is executed with re
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Mitsa, Alexander, Petr Stetsyuk, Alexander Levchuk, Vasily Petsko, and Igor Povkhan. "ON THE ACCELERATION OF OPTIMIZATION METHODS FOR THE PROBLEM OF SYNTHESIS OF MULTILAYER OPTICAL COATINGS." Journal of Automation and Information sciences 6 (November 1, 2021): 13–26. http://dx.doi.org/10.34229/1028-0979-2021-6-2.

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Five ways to speed up the multidimensional search in order to solve the problem of synthesis of multilayer optical coatings by using the methods of zero and first orders have been considered. The first way is to use an analytical derivative for the target quality function of the multilayer coating. It allows us to calculate accurately (within the computer arithmetic) the value of the gradient of a smooth objective function and generalized gradient of a non-smooth objective one. The first way requires the same number of arithmetic operations as well as finite-difference methods of calculating t
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Viral, Panchal, Prajapati Raviraj, and Patel Kalyani. "AN INNOVATIVE PATTERN BASED PASSWORD METHOD USING TIME VARIABLE WITH ARITHMETIC OPERATIONS." International Journal of Information Sciences and Techniques (IJIST) 6, no. 1/2 (2016): 143–57. https://doi.org/10.5281/zenodo.7647957.

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In today’s world, securing the assets is necessary that can be done by password. But imagine if password is stolen or hacked then what about the security of assets? In this Paper, we have discussed the major attacks as well as password authentication / security methods and techniques. We have proposed a password security method, where arithmetic operations are performed on user selected pattern from time variables to generate secure password. The task of validating the password or authentication of user can be done on both client and server side. We have analysed how proposed scheme defe
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Hanaa Nuur Aliifah, Donni Prakosha, and Gunarhadi. "Effect of the Fun Mathematics Educational Game on the Arithmetic Operation Skills of Children with Dyscalculia." SPECIAL 5, no. 1 (2024): 46–51. http://dx.doi.org/10.36456/special.vol5.no1.a9131.

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Students with dyscalculia often struggle to complete math tasks, particularly arithmetic operations involving whole numbers. Therefore, specialized learning methods are necessary, including using the educational game fun mathematics. This study aims to determine the impact of the educational game Fun Mathematics on the ability to perform arithmetic operations with whole numbers in children with dyscalculia. The research method used is experimental with a Group Pretest-Posttest Design. Data analysis was conducted using the Wilcoxon Signed-Rank Test, derived from the pretest and posttest results
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Г.К., Казиева. "БАШТАЛГЫЧ КЛАССТА АРИФМЕТИКАЛЫК АМАЛДАРДЫ АТКАРУУГА КАРАТА КЭЭ БИР СУНУШТАР". НАУКА, НОВЫЕ ТЕХНОЛОГИИ И ИННОВАЦИИ КЫРГЫЗСТАНА, № 3 (30 березня 2023): 164–67. http://dx.doi.org/10.26104/nntik.2023.39.21.034.

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Эсептөө жөндөмүн жана көндүмдөрүн калыптандыруу башталгыч математиканын негизги милдеттеринин бири болуп саналат. Эсептөө жөндөмү эсептөө техникасын өздөштүрүүнү камтыйт. Ар кандай эсептөө техникасы операциялардын ырааттуулугу катары көрсөтүлүшү мүмкүн, алардын ар биринин аткарылышы белгилүү бир математикалык түшүнүк же касиет менен байланышкан. Изилдөөлөр көрсөтүп тургандай, башталгыч мектепти бүтүрүүчүлөрдүн бардыгы эле амалдарды аткаруу алгоритимдерин өздөштүрүп чыгышпайт. Андыктан, бул макалада мектеп жашындагы балдардын математикалык жөндөмдүүлүгү жана алардын сабак учурундагы иш аракети
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Gambaro, Anna Maria, Ioannis Kyriakou, and Gianluca Fusai. "General lattice methods for arithmetic Asian options." European Journal of Operational Research 282, no. 3 (2020): 1185–99. http://dx.doi.org/10.1016/j.ejor.2019.10.026.

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Nafisa Xasanovna, Raxmankulova. "THE EFFECTIVENESS OF GAME-BASED LEARNING IN TEACHING ARITHMETIC OPERATIONS TO PRIMARY SCHOOL STUDENTS." INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY 2, no. 05 (2025): 217–19. https://doi.org/10.70728/tech.v2.i05.076.

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This study explores the effectiveness of game-based learning strategies in teaching arithmetic operations to primary school students. By integrating educational games into mathematics lessons, the research aims to enhance student engagement, conceptual understanding, and retention of basic arithmetic skills. A quasi-experimental method was employed with control and experimental groups of grade 2 students, comparing traditional instruction with game-enhanced teaching methods. Results demonstrate a statistically significant improvement in arithmetic performance among students who engaged in game
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Utari, Yuli Putri, Septi Triyani, and Indah Rahayu Panglipur. "IMPLEMENTATION OF GAME-BASED LEARNING METHODS ON MULTIPLE AND DIVISION COUNTING OPERATIONS IN CLASS VII SMP PLUS RAUDLATUL MUQORROBIN KALISAT." Journal on Research and Review of Educational Innovation 1, no. 3 (2023): 117–23. http://dx.doi.org/10.47668/jrrei.v1i3.968.

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The purpose of this study was to describe and examine the application of game-based learning methods to multiplication and division arithmetic operations. The research was conducted at SMP Plus Raudlatul Muqorrobin Kalisat, Kalisat District, Jember Regency. This type of research is exploratory and qualitative approach. The subjects of this research were class VII students of junior high school. Data collection techniques used interviews with mathematics teachers, observations related to learning activities from mathematics learning materials, multiplication and division operations, and documen
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Taugynbayeva, G. E., A. Zh Zhubanysheva, Zh K. Tabyldiyeva, and N. Temirgaliyev. "Methods of teaching numbers and the operations of addition and multiplication applied to them in elementary school and the general problems related to them." BULLETIN of the L N Gumilyov Eurasian National University MATHEMATICS COMPUTER SCIENCE MECHANICS Series 138, no. 1 (2022): 45–54. http://dx.doi.org/10.32523/2616-7182/bulmathenu.2022/1.4.

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What is the methodology of reaching the level of "mathematical perfection" in primary school,including the number, arithmetic operations used for them, the multiplication table, the displacement law ofaddition and multiplication operations, what principles should be taken as a basis during the education of thechild and their place in the field of modern science is widely stated.
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Fatimah, Clara, Ketut Wirnawa, and Putri Sukma Dewi. "ANALISIS KESULITAN BELAJAR OPERASI PERKALIAN PADA SISWA SEKOLAH MENENGAH PERTAMA (SMP)." Jurnal Ilmiah Matematika Realistik 1, no. 1 (2020): 1–6. http://dx.doi.org/10.33365/ji-mr.v1i1.250.

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AbstractMathematical learning can never be separated from the arithmetic operations of addition, subtraction, multiplication and division operations. Arithmetic operations that are still widely complained of by junior high school students or equivalent are multiplication arithmetic operations. This study aims to determine the location of students' difficulties in multiplication operations. The analysis technique in this article uses quantitative methods with descriptive and inferential statistical techniques. The subjects of this study were 25 junior high students in Lampung Province. Difficul
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Przybył, Andrzej. "Fixed-Point Arithmetic Unit with a Scaling Mechanism for FPGA-Based Embedded Systems." Electronics 10, no. 10 (2021): 1164. http://dx.doi.org/10.3390/electronics10101164.

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The work describes the new architecture of a fixed-point arithmetic unit. It is based on the use of integer arithmetic operations for which the information about the scale of the processed numbers is contained in the binary code of the arithmetic instruction being executed. Therefore, this approach is different from the typical way of implementing fixed-point operations on standard processors. The presented solution is also significantly different from the one used in floating-point arithmetic, as the decision to determine the appropriate scale is made at the stage of compiling the code and no
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Abdelfattah, Ahmad, Hartwig Anzt, Erik G. Boman, et al. "A survey of numerical linear algebra methods utilizing mixed-precision arithmetic." International Journal of High Performance Computing Applications 35, no. 4 (2021): 344–69. http://dx.doi.org/10.1177/10943420211003313.

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The efficient utilization of mixed-precision numerical linear algebra algorithms can offer attractive acceleration to scientific computing applications. Especially with the hardware integration of low-precision special-function units designed for machine learning applications, the traditional numerical algorithms community urgently needs to reconsider the floating point formats used in the distinct operations to efficiently leverage the available compute power. In this work, we provide a comprehensive survey of mixed-precision numerical linear algebra routines, including the underlying concept
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Siti Sovia Aprilia, H. U. Abdul Azis, and Muhammad Arif. "Penerapan Bahan Manipulatif Balok Garis Dapat Meningkatkan Pembelajaran Operasi Hitung Campuran Bilangan Bulat." Indonesian Journal of Integrated Science and Learning 1, no. 1 (2023): 16–22. http://dx.doi.org/10.60041/ijisl.v1i1.27.

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Mathematics is one of the curricular fields of study at the Elementary School (SD) level. Due to the lack of students' understanding of this lesson, especially the material for mixed integer arithmetic operations in class VI of SD Negeri Neglasari, the compiler made the learning better. Classroom Action Research (PTK) was conducted at Neglasari Public Elementary School in the second semester of the 2022–2023 school year to improve learning in class VI, which consisted of 30 students., Student learning activities in the Mathematics subject matter of arithmetic operations on mixed integers with
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Merdekawati, Sanni. "Enhancing Students’ Understanding of Operation in Integers through Joyful Learning with GeoGebra™ Applet." Southeast Asian Mathematics Education Journal 12, no. 2 (2022): 161–70. http://dx.doi.org/10.46517/seamej.v12i2.165.

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This paper demonstrates a teacher-as-researcher intervention study by utilizing GeoGebra™ activities in the teaching and learning of arithmetical operations with integers. The researcher evaluated how the applet can elevate students understanding of the concepts of arithmetic integer operations. The data was collected through recordings of students’ worksheets and communications in a virtual classroom. The teacher monitored students’ progress and provided immediate suggestions and assistance via several methods. As a result, students could communicate and interact with each other and the teach
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Johnson, T. W., J. B. Park, S. A. Dyer, B. K. Harms, and R. A. Dyer. "An Efficient Method for Recovering the Optimal Unbiased Linear Spectrum-Estimate from Hadamard Transform Spectrometers Having Nonideal Masks." Applied Spectroscopy 43, no. 5 (1989): 746–50. http://dx.doi.org/10.1366/0003702894202157.

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A spectrum-recovery method is presented which efficiently computes an optimal unbiased linear spectrum-estimate for measurements obtained with Hadamard transform (HT) spectrometers having nonideal masks. This method has the following advantages over other spectrum-recovery techniques: it is computationally efficient, it requires no additional measurements, and it computes an optimal spectrum-estimate. In the method presented, after the mask of the HT spectrometer has been characterized, approximately 3 N preliminary arithmetic operations are performed once for a given spectrometer, where N is
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36

Zuraidah, Yasmin Wahyu. "KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA PADA MATERI OPERASI HITUNG BILANGAN KELAS III UPT SD NEGERI 160 GRESIK." NUSRA: Jurnal Penelitian dan Ilmu Pendidikan 4, no. 3 (2023): 491–96. http://dx.doi.org/10.55681/nusra.v4i3.1259.

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This study aims to determine students' mathematical problem-solving abilities in material arithmetic operations grade 3 elementary school 160 Gresik, to describe students' problem-solving abilities using Polya stages. This research includes descriptive qualitative research in which the research describes the phenomena that occur. Data collection techniques with tests and interviews. The target of this research is grade 3 students. The methods used are tests and interviews. The results showed that the students' mathematical problem-solving abilities on arithmetic operations for grade 3 were qui
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37

Namira Sazkia and Rora Rizki Wandini. "Miskonsepsi Pengerjaan Operasi Deret Aritmatika di PGMI 3 UIN Sumatera Utara." Al-Tarbiyah : Jurnal Ilmu Pendidikan Islam 2, no. 2 (2024): 234–39. http://dx.doi.org/10.59059/al-tarbiyah.v2i2.977.

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Misconceptions are concepts that are not relevant to scientific understanding accepted by experts in the field concerned and can cause difficulties in understanding material. The aim of this research is to examine the results of misconception analysis in working on arithmetic series operations at PGMI 3 UIN North Sumatra. This research uses survey and test methods to identify misconceptions that generally arise when PGMI-3 students work on arithmetic series operations. The research results show that there are several misconceptions involving understanding the general formula for arithmetic ser
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38

Romanchak, V. M. "The Problem of Quantifying Utility." Statistics and Economics 18, no. 3 (2021): 4–11. http://dx.doi.org/10.21686/2500-3925-2021-3-4-11.

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Purpose of the study. Analysis of the literature shows that the ordinal theory of utility is widespread in the theory of consumer behavior. To analyze consumer preferences, a utility function is used, which characterizes the value of the utility of the consumed goods and services on a scale of order. Moreover, to find the marginal utility of a product, arithmetic operations are used, which are impossible on a scale of order. To allow arithmetic operations, a quantitative analysis of the utility function is required. Consequently, the problem of quantitative measurement of the utility function
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Moon, Subin, and Younho Lee. "An Efficient Encrypted Floating-Point Representation Using HEAAN and TFHE." Security and Communication Networks 2020 (March 2, 2020): 1–18. http://dx.doi.org/10.1155/2020/1250295.

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As a method of privacy-preserving data analysis (PPDA), a fully homomorphic encryption (FHE) has been in the spotlight recently. Unfortunately, because many data analysis methods assume that the type of data is of real type, the FHE-based PPDA methods could not support the enough level of accuracy due to the nature of FHE that fixed-point real-number representation is supported easily. In this paper, we propose a new method to represent encrypted floating-point real numbers on top of FHE. The proposed method is designed to have analogous range and accuracy to 32-bit floating-point number in IE
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40

Akroush, Sofia, Walaa Alkasasbeh, Maen Sha’lan, Ellie Abdi, and Mu’tasem Khatatbeh. "Psychological mood patterns among Jordanian handball players." Retos 62 (October 30, 2024): 285–94. http://dx.doi.org/10.47197/retos.v62.109407.

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The purpose of this study was to identify the prevailing mood patterns amongst handball players in Jordan. Therefore, this descriptive study was conducted on a sample consisting of (76) male handball players participating in the 2022/2023 Jordanian Handball League championship. The list of mood patterns for athletes was used as a data collection tool along with the following three statistical methods: Arithmetic mean, Standard deviations, and Two-Way ANOVA. The study results showed that the personal flexibility pattern emerged in first place with a high level and an arithmetic average of (2.37
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Djumayeva, Hulkarxon Muhammadjonovna. "METHODOLOGY OF TEACHING ARITHMETIC OPERATIONS WITH MULTI-DIGIT NUMBERS IN PRIMARY EDUCATION." American Journal of Advanced Scientific Research (AJASR) 2, no. 9 (2025): 548–54. https://doi.org/10.5281/zenodo.15344859.

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This article analyzes the significance of using innovative pedagogicaltechnologies in teaching arithmetic operations within the multi-digit numberconcentration of primary education. In modern educational settings, interactivemethods, information and communication technologies, gamification, the STEAMapproach, and project-based learning methods play a crucial role in developingstudents' mathematical thinking and enhancing learning effectiveness. As part of thestudy, the impact of these methods on the educational process was examined usingempirical methods, and based on the obtained results, rec
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Prasolov, A. A. "CHARACTERISTICS OF DIGITAL AGC IN FIXED-POINT OPERATIONS." Journal of the Russian Universities. Radioelectronics, no. 2 (April 24, 2019): 5–12. http://dx.doi.org/10.32603/1993-8985-2019-22-2-5-12.

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Introduction. Nowadays, communication systems are mostly digital. One of the tasks of automatic gain control in digital receivers is to maintain analog signals at the appropriately fixed level, which prevents saturation of the analogto-digital converter. Most numerical algorithms are based on floating point arithmetic, and digital automatic gain control is usually implemented using fixed-point arithmetic devices such as programmable logic chips and signal processors. As consequence of fixed-point arithmetic and hardware constraints usage, the out-put significant bits should be truncated correc
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Ni, Nyoman Suastini. "PENERAPAN MODEL PEMBELAJARAN PROBLEM SOLVING DENGAN APLIKASI GOOGLE MEET UNTUK MENINGKATKAN HASIL BELAJAR MATEMATIKA MENGGUNAKAN LKS DALAM PEMBELAJARAN OPERASI HITUNG BILANGAN BULAT PADA SISWA KELAS VII H SMP NEGERI 3 ABIANSEMAL TAHUN PELAJARAN 2020/2021." Widyadari 22, no. 2 (2021): 724–34. https://doi.org/10.5281/zenodo.5576128.

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<em>Student Worksheet (LKS) is one of the tools where students can carry out the learning process by reading alone, following examples related to learning, doing tasks according to the subject matter. The purpose of this study was to determine whether there was a student&#39;s response and to improve students&#39; ability to answer arithmetic operations on integers in class VII H SMP Negeri 3 Abiansemal by applying the problem solving learning model through the google meet application. This type of research is classroom action research. This research was conducted in VII H of SMP Negeri 3 Abia
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Loffeld, J., and JAF Hittinger. "On the arithmetic intensity of high-order finite-volume discretizations for hyperbolic systems of conservation laws." International Journal of High Performance Computing Applications 33, no. 1 (2017): 25–52. http://dx.doi.org/10.1177/1094342017691876.

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It has been conjectured that higher-order discretizations for partial differential equations will have advantages over the lower-order counterparts commonly used today. The reasoning is that the increase in arithmetic operations will be more than offset by the reduction in data transfers and the increase in concurrent floating-point units. To evaluate this conjecture, the arithmetic intensity of a class of high-order finite-volume discretizations for hyperbolic systems of conservation laws is theoretically analyzed for spatial discretizations from orders three through eight in arbitrary dimens
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Tereshchenko, Andrii, and Valeriy Zadiraka. "Generating Big Numbers for Testing Multi-Digit Arithmetic Algorithms." Cybernetics and Computer Technologies, no. 2 (June 30, 2021): 39–56. http://dx.doi.org/10.34229/2707-451x.21.2.4.

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Introduction. The emergence of new parallel computational systems, such as multi-core processors, clusters, distributed systems, is due to the solution of various applied problems in various fields. The difference between devices for which parallel algorithms are implemented causes a variety of existing methods for parallelizing the calculation of multi-digit arithmetic operations. There is a problem of developing universal algorithms for implementing multi-digit arithmetic operations that are efficiently performed on various devices and on various systems. Very often it is not possible to dev
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Rosidah, Rosidah, Lalu Hamdian Affandi, and Awal Nur Kholifatur Rosyidah. "ANALISIS KESULITAN BELAJAR MATEMATIKA SISWA KELAS III SDN 3 TERONG TAWAH TAHUN AJARAN 2020/2021." JURNAL ILMIAH PENDAS: PRIMARY EDUCATION JOURNAL 3, no. 1 (2022): 28–38. http://dx.doi.org/10.29303/pendas.v3i1.439.

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Mathematics is a universal science that underlies the development of modern technology. In the reality, mathematics learning activities have a higher level of learning difficulty compared to other subjects, especially in fractional operations. This can be seen when the learning process takes place, the lack of interest and attention of students towards learning mathematics, students passive interaction with the teacher and the use of conventional methods as learning methods. This study aims to determine the types of learning difficulties in mathematics on the material of fractional arithmetic
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Rahayu, Peni, and Mu'jizatin Fadiana. "KESULITAN SISWA DALAM MEMAHAMI MATERI OPERASI HITUNG CAMPURAN KELAS VI SDN TEMANDANG1." JIPD (Jurnal Inovasi Pendidikan Dasar) 8, no. 2 (2024): 69–74. https://doi.org/10.36928/jipd.v8i2.2279.

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Students' Difficulties in Understanding Mixed Calculation Operations Material for Class VI Sdn Temandang 1. This research was conducted to determine the analysis of students' difficulties in understanding mixed arithmetic operations material in mathematics. The method used is a qualitative descriptive method, collecting research data using observation, interviews, tests and documentation techniques. Meanwhile, the data will be analyzed descriptively in detail using a phenomenological approach. This research shows that the difficulties faced by students are because children make mathematics a f
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Lev, Raskin, and Sira Oksana. "EXECUTION OF ARITHMETIC OPERATIONS INVOLVING THE SECOND-ORDER FUZZY NUMBERS." Eastern-European Journal of Enterprise Technologies 4, no. 4 (106) (2020): 14–20. https://doi.org/10.15587/1729-4061.2020.210103.

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The need to improve the adequacy of conventional models of the source data uncertainty in order to undertake research using fuzzy mathematics methods has led to the development of natural improvement in the analytical description of the fuzzy numbers&#39; membership functions. Given this, in particular, in order to describe the membership functions of the three-parametric fuzzy numbers of the (L-R)-type, the modification implies the following. It is accepted that these functions&#39; parameters (a modal value, the left and right fuzzy factors) are not set clearly by their membership functions.
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Ning, Yan-Duan, Yan-Haw Chen, Cheng-Sin Shih, and Shao-I. Chu. "Lookup Table-Based Design of Scalar Multiplication for Elliptic Curve Cryptography." Cryptography 8, no. 1 (2024): 11. http://dx.doi.org/10.3390/cryptography8010011.

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This paper is aimed at using a lookup table method to improve the scalar multiplication performance of elliptic curve cryptography. The lookup table must be divided into two polynomials and requires two iterations of point doubling operation, for which negation operations are needed. It is well known that an inversion operation requires a lot of multiplication time. The advantage of this paper is that we are able to reduce one inverse element calculation for this problem and also improve the basic operations of finite fields through segmentation methods. If the normal basis method is used in t
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R.Venkatesan. "MAKING EAGERNESS IN STUDYING MATHS BY INNOVATIVE METHODS." International Journal of Pure & Applied Mathematical Research 1, no. 1 (2017): 11–21. https://doi.org/10.5281/zenodo.10823901.

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<strong><em>ABSTRACT</em></strong> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; I am working as Maths teacher in the Govt. Hr. Sec. School in a village named Alagankulam. I am teaching maths to the age group of 11 to 15 yr old students those who are studying 6<sup>th</sup> std to 10<sup>th</sup> std. In my class , most of the students are not so much interest in studying maths. When I use the questionnaire , I know that they(95%) do not know the Multiplication Table and they think that Maths is very hard subject to study and they
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