Sistem Bilangan Bulat sebagai Dasar Teori Bilangan

Authors

  • Prihaten Maskhuliah Institut Agama Islam Negeri Fattahul Muluk Papua
  • Aulia Salsabila Putri Institut Agama Islam Negeri Fattahul Muluk Papua
  • Dewi Mawaddah Rumaf Institut Agama Islam Negeri Fattahul Muluk Papua
  • Tita Mustikawati Selayar Institut Agama Islam Negeri Fattahul Muluk Papua
  • Alfaris Syahdan Nurpratama Institut Agama Islam Negeri Fattahul Muluk Papua
  • Iman Bugis Institut Agama Islam Negeri Fattahul Muluk Papua
  • Erna Bugis Institut Agama Islam Negeri Fattahul Muluk Papua

DOI:

https://doi.org/10.55606/jurrimipa.v5i2.10061

Keywords:

Integer Operations, Integers, Literature Review, Number Theory, Properties of Integers

Abstract

Integers are one of the fundamental concepts in number theory that serve as the foundation for studying various more complex mathematical topics. This article aims to describe the integer number system, including its definition, properties, and basic operations on integers. This article was written using a qualitative research method with a literature review approach, specifically through the examination of various books and scientific sources relevant to number theory. The results of the study indicate that the integer system consists of negative integers, zero, and positive integers, which possess the properties of closure, commutativity, associativity, distributivity, identity, and the inverse of addition. Furthermore, the operations of addition, subtraction, multiplication, and division of integers follow interrelated rules, thereby forming a consistent system for solving various mathematical problems. An understanding of the concepts, properties, and operations of integers is expected to serve as a strong foundation for studying number theory and to enhance a more comprehensive understanding of mathematical concepts.

Downloads

Download data is not yet available.

References

Aras, L. (2020). Bilangan dan Pembelajarannya (2nd ed.). Perpustakaan Nasional: Katalog dalam Terbitan (KDT).

Ardiyusuf, N., Y Putra, R. W., Netriwati, & Fadila, A. (n.d.). menguasai bilangan bulat dan pecahan serta pola dan barisan bilangan.

D Hastuti, I. (2018). No TitlePendidikan Matematika Sekolah Dasar (M. Tahir (ed.); 1st ed.). Arga Puji Matahari Lombok.

Fuzan, A., Anggoro, B. S., & Y Putra, R. W. (2022). operasi hitung bilangan bulat.

Hamidah, S., & T Istikowati, W. (2020). Buku Ajar Matematika (Sunardi (ed.)). CV Banyubening Cipta Sejahtera.

Handayani, R., & Kotabumi, U. M. (2020). Teori Bilangan (Sumarno & P. Bayu (eds.); 1st ed.). Universitas Muhammadiyah Kotabumi Alamat.

Hasibuan, W. S. (2018). pembelajaran operasi bilangan bulat di kelas vii-2 mts.s nu paringgonan kec. ulu barumun kab. padang lawas.

Markhamah, K., Wahyu, R., & Putra, Y. (2022). Matematika SMP Kelas VII (Nu’man (ed.)). Arjasa Pratama.

Nurhardini. Putrawangsa, S. S. (2018). Pengantar Teori bilangan (E. Kasafany (ed.); 1st ed.). Insan Madani Institute.

Purwanti, R., & Kuningan, U. (n.d.). Penggunaan konsep penjumlahan dan pengurangan bilangan bulat dalam pembelajaran matematika sekolah dasar. 2, 96–102.

Setianingrum, D. W., Pendahuluan, A., & Masalah, I. L. B. (2018). Kontekstualisasi bilangan bulat. April.

Sukiyanto, & Cendana, W. dkk. (2021). MAtemataika untuk PGSD/PGMI (A. Setiawan & W. Cendana (eds.); 1st ed.). Nuta Media.

Susanto, D. dkk. (2022). Buku Panduan Guru matematika (T. Hartini (ed.)). Pusat Perbukuan Badan Standar, Kurikulum, dan Asesmen Pendidikan.

T Wahyuningtyas, D. (2016). PEMBELAJARAN BILANGAN untuk PGSD (M. Junaidy (ed.); 1st ed.). Penerbit Ediide Infografika.

Unaenah, E., Sutisna, A., Utami, W. D., Shafani, H. T., Insan, K., Wijaya, R. R., Anzani, R. W., Ramadhani, V., & Tangerang, U. M. (n.d.). Analisis pembelajaran bilangan bulat dengan alat permainan edukatif untuk meminimalisir miskonsepsi peserta didik. 2(April 2020), 134–152.

Unaenah, E., Syariah, E. N., Mahromiyati, M., Nurkamilah, S., Novyanti, A., Nupus, F. S., & Tangerang, U. M. (n.d.). Analisis pemahaman siswa dalam operasi hitung penjumlahan bilangan bulat menggunakan garis bilangan. 2, 296–310.

Wahyuningtyas, D. T., Sesanti, N. R., & Anggrawati, I. B. (2022). modul matematika bilangan bulat (T. Zahra (ed.); 1st ed.). CV. Zahra Publisher Group.

Downloads

Published

2026-08-05

How to Cite

Prihaten Maskhuliah, Aulia Salsabila Putri, Dewi Mawaddah Rumaf, Tita Mustikawati Selayar, Alfaris Syahdan Nurpratama, Iman Bugis, & Erna Bugis. (2026). Sistem Bilangan Bulat sebagai Dasar Teori Bilangan. JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM, 5(2), 265–273. https://doi.org/10.55606/jurrimipa.v5i2.10061