--- title: Multiplication and Division - Basic Operations & Rules description: Multiplication and division are inverse operations. This chapter covers facts, remainders, and how the two operations connect. url: https://astra-ai.co/videos/arithmetic/multiplication-and-division/ locale: en type: video-chapter keywords: - multiplication and division - times tables - remainders - inverse operations published: 2026-10-01T09:51:10.320Z updated: 2026-10-04T21:58:47.613Z alternates: bg: https://astra-ai.co/bg/videos/aritmetika/umnozhenie-i-delenie/ br: https://astra-ai.co/br/videos/aritmetica/capitulo-matematica-013/ cs: https://astra-ai.co/cs/videos/aritmetika/nasobeni-a-deleni/ da: https://astra-ai.co/da/videos/aritmetik/multiplikation-og-division/ de: https://astra-ai.co/de/videos/arithmetik/multiplikation-und-division/ el: https://astra-ai.co/el/videos/arithmitiki/pollaplasiasmos-kai-diairesi/ en: https://astra-ai.co/videos/arithmetic/multiplication-and-division/ en-IN: https://astra-ai.co/en-IN/videos/arithmetic/chapter-bf0b62b1/ en-PH: https://astra-ai.co/en-PH/videos/arithmetic/chapter-bf0b62b1/ es: https://astra-ai.co/es/videos/aritmetica/multiplicacion-y-division/ es-AR: https://astra-ai.co/es-AR/videos/aritmetica/capitulo-9/ es-CL: https://astra-ai.co/es-CL/videos/aritmetica/capitulo-9/ es-PE: https://astra-ai.co/es-PE/videos/aritmetica/capitulo-video-bf0b62b1/ et: https://astra-ai.co/et/videos/aritmeetika/korrutamine-ja-jagamine/ fi: https://astra-ai.co/fi/videos/aritmetiikka/kertolasku-ja-jakolasku/ fr: https://astra-ai.co/fr/videos/arithmetique/multiplication-et-division/ hr: https://astra-ai.co/hr/videos/aritmetika/mnozenje-i-dijeljenje/ hu: https://astra-ai.co/hu/videos/aritmetika/szorzas-es-osztas/ id: https://astra-ai.co/id/videos/aritmetika/perkalian-dan-pembagian/ it: https://astra-ai.co/it/videos/aritmetica/moltiplicazione-e-divisione/ ja: https://astra-ai.co/ja/videos/arithmetic-ja/ja-chapter-09/ km: https://astra-ai.co/km/videos/arithmetic/chapter-bf0b62b1/ ko: https://astra-ai.co/ko/videos/arithmetic-ko/09/ lo: https://astra-ai.co/lo/videos/lo-b482616f/lo-bf0b62b1/ lt: https://astra-ai.co/lt/videos/aritmetika/daugyba-ir-dalyba/ lv: https://astra-ai.co/lv/videos/aritmetika/reizinasana-un-dalisana/ ms: https://astra-ai.co/ms/videos/arithmetic/bab-13-matematik-asas/ ms-BN: https://astra-ai.co/ms-BN/videos/aritmetik/bab-matematik-09/ mx: https://astra-ai.co/mx/videos/aritmetica/capitulo-9/ my: https://astra-ai.co/my/videos/my-b482616f/my-bf0b62b1/ nl: https://astra-ai.co/nl/videos/rekenkundig/vermenigvuldigen-en-delen/ no: https://astra-ai.co/no/videos/aritmetikk/multiplikasjon-og-divisjon/ pl: https://astra-ai.co/pl/videos/arytmetyka/mnozenie-i-dzielenie/ pt: https://astra-ai.co/pt/videos/aritmetica/multiplicacao-e-divisao/ pt-TL: https://astra-ai.co/pt-TL/videos/aritmetica/capitulo-de-video-009/ ro: https://astra-ai.co/ro/videos/aritmetica/inmultire-si-impartire/ sk: https://astra-ai.co/sk/videos/aritmetika/kapitola-009/ sl: https://astra-ai.co/sl/videos/aritmetika/mnozenje-in-deljenje/ sr: https://astra-ai.co/sr/videos/aritmetika/poglavlje-009/ sv: https://astra-ai.co/sv/videos/aritmetik/multiplikation-och-division/ th: https://astra-ai.co/th/videos/arithmetic/bot-13-kan-khun-lae-kan-han/ tr: https://astra-ai.co/tr/videos/aritmetik/bolum-009/ uk: https://astra-ai.co/uk/videos/uk-topic-06/uk-chapter-13/ vi: https://astra-ai.co/vi/videos/vi-topic-06/vi-chapter-13/ zh-HK: https://astra-ai.co/zh-HK/videos/shuxue-kecheng-006/shuxue-zhang-013/ zh-TW: https://astra-ai.co/zh-TW/videos/arithmetic/chapter-bf0b62b1/ --- # Multiplication and Division > Multiplication and division are inverse operations. This chapter covers basic facts, remainders, and how the two operations connect. ## WHAT ARE MULTIPLICATION AND DIVISION? Multiplication and division are fundamental procedures that enable work with numerical expressions and values. We use multiplication and division to express repeated addition or the uniform distribution of numbers. Multiplication means increasing a number by a multiple of another number, while division means splitting a number into equal parts or determining how many times one number contains another. Multiplication and division are interconnected procedures, as any division can also be written as multiplication by the reciprocal of a number. ## DEFINITIONS AND NOTATIONS For **multiplication**, we use the symbol “×” or “\*”. In the expression 7 × 5, the number 7 is the first **factor**, 5 is the second **factor**, and the result is the **product**, which is 35. For **division**, we use the symbol “÷” or “/”. In the expression 20 ÷ 4, the number 20 is the **dividend**, 4 is the **divisor**, and the result is the **quotient**, which is 5. ## RULES FOR MULTIPLYING AND DIVIDING WITH NEGATIVE NUMBERS When multiplying and dividing negative numbers, we consider the following: - If **both numbers are negative**, the result is **positive**: (-6) × (-3) = 18 (-12) ÷ (-4) = 3 - If we multiply or divide numbers with **different signs**, the result is **negative**: (-5) × 4 = -20 15 ÷ (-3) = -5 ## CALCULATION EXAMPLE Let's solve the expression: (24 ÷ 6) × (-3) First, we divide: 24 ÷ 6 = 4 Then, we multiply: 4 × (-3) = -12 The result of the expression is -12. ## CONCLUSION Multiplication and division are key procedures when working with different numerical values. By understanding the rules, terms, and the behavior of negative numbers, we can solve expressions involving multiplication and division accurately and without errors. Working with larger expressions becomes simpler if we correctly apply the procedures of multiplication and division and adhere to the order of operations.