https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-1/x36423c781f0794f3:rational-numbers/v/closure-property-of-rational-numbers 2025-04-15T10:15:04.899062092Z Closure Property of rational numbers In this video, we explore the closure property of rational numbers using an easy-to-understand analogy with closed and open boxes. Imagine a box that holds all the rational numbers in the world—every number you can think of fits inside! We’ll show you how basic arithmetic operations like addition, subtraction, and multiplication always keep you inside this box. Then, we dive into the exception: division by zero, which takes you outside the box and breaks the rule. Created by Sarath Penumuru Devashish Phadnis video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Closure Property of rational numbers In this video, we explore the closure property of rational numbers using an easy-to-understand analogy with closed and open boxes. Imagine a box that holds all the rational numbers in the world—every number you can think of fits inside! We’ll show you how basic arithmetic operations like addition, subtraction, and multiplication always keep you inside this box. Then, we dive into the exception: division by zero, which takes you outside the box and breaks the rule. Created by Sarath Penumuru https://cdn.kastatic.org/ka-youtube-converted/uTTJbMb32mQ.mp4/uTTJbMb32mQ.mp4 299 Closure, commutative and associative property https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-1/x36423c781f0794f3:rational-numbers/v/commutative-property-of-rational-numbers 2025-04-16T14:25:03.578489663Z Commutative property of rational numbers Join us as we explore the commutative property and how it applies to different operations with rational numbers. Through clear examples, we demonstrate whether addition, subtraction, multiplication, and division of rational numbers are commutative or not. By working through specific cases, students will understand which operations change their results when the order of the numbers is switched. This practical approach makes abstract algebraic concepts accessible and intuitive for Grade 8 mathematics students. Sarath Penumuru video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Commutative property of rational numbers Join us as we explore the commutative property and how it applies to different operations with rational numbers. Through clear examples, we demonstrate whether addition, subtraction, multiplication, and division of rational numbers are commutative or not. By working through specific cases, students will understand which operations change their results when the order of the numbers is switched. This practical approach makes abstract algebraic concepts accessible and intuitive for Grade 8 mathematics students. https://cdn.kastatic.org/ka-youtube-converted/cGyeiBALdgI.mp4/cGyeiBALdgI.mp4 366 Closure, commutative and associative property https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-1/x36423c781f0794f3:rational-numbers/v/associative-property-of-rational-numbers 2025-04-16T14:25:03.578489663Z Associative property of rational numbers Join us as we investigate the associative property and how it applies to operations with rational numbers. Through practical examples, we explore whether changing the grouping in addition, subtraction, multiplication, and division of rational numbers affects the final result. Students will discover which operations maintain their outcomes regardless of how the numbers are grouped, and which ones don't. This step-by-step approach helps you grasp important algebraic principles that form the foundation of higher mathematics. Sarath Penumuru video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Associative property of rational numbers Join us as we investigate the associative property and how it applies to operations with rational numbers. Through practical examples, we explore whether changing the grouping in addition, subtraction, multiplication, and division of rational numbers affects the final result. Students will discover which operations maintain their outcomes regardless of how the numbers are grouped, and which ones don't. This step-by-step approach helps you grasp important algebraic principles that form the foundation of higher mathematics. https://cdn.kastatic.org/ka-youtube-converted/wuzQLK57DGY.mp4/wuzQLK57DGY.mp4 457 Closure, commutative and associative property https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-1/x36423c781f0794f3:rational-numbers/e/closure-property-of-rational-numbers 2026-02-26T15:40:49.311158104Z Closure, associative and commutative property of rational numbers (1/2) Closure, associative and commutative property of rational numbers (1/2) anmol exercise https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-1/x36423c781f0794f3:rational-numbers/e/commutativity-of-rational-numbers 2026-02-26T15:40:49.311158104Z Closure, associative and commutative property of rational numbers (2/2) Closure, associative and commutative property of rational numbers (2/2) anmol exercise