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 Properties of rational numbers 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 Properties of rational numbers 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 Properties of rational numbers 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 https://www.khanacademy.org/math/kn-math-class-9-bridge/x14595f36277e97c8:distribute-and-multiply/x14595f36277e97c8:some-properties-of-multiplication/v/distributive-property-when-multiplying-india 2025-03-28T07:03:34.946332271Z Distributive property when multiplying Distributive property when multiplying (Indian Accent) Aakash Bagga video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Distributive property when multiplying Distributive property when multiplying (Indian Accent) https://cdn.kastatic.org/ka-youtube-converted/ftU0uKPxcMs.mp4/ftU0uKPxcMs.mp4 369 Properties of rational numbers https://www.khanacademy.org/math/cc-third-grade-math/3rd-basic-multiplication/distributive-property/e/distributive-property-of-multiplication- 2025-02-25T11:20:34.857789849Z Distributive property Practice decomposing the factors in multiplication problems and see how it affects the product. Priya exercise https://www.khanacademy.org/math/revision-term-1-ka-math-class-8/x36423c781f0794f3:week-1/x36423c781f0794f3:rational-numbers/v/multiplicative-identity-of-rational-numbers-real-numbers-ncert-class-10-math-khan-academy 2025-05-21T05:22:32.250319578Z Multiplicative identity of rational numbers Description: (100-200 characters) Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (add course link here) Timestamps: Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by Sarath Penumuru video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Multiplicative identity of rational numbers Description: (100-200 characters) Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (add course link here) Timestamps: Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month. Support Us: https://india.khanacademy.org/donate Created by https://cdn.kastatic.org/ka-youtube-converted/HWPoRqGHNI4.mp4/HWPoRqGHNI4.mp4 100 Properties of rational numbers https://www.khanacademy.org/math/tg-math-class-7-bridge/x2648a6cb9a4fb7d5:numbers-and-properties/x2648a6cb9a4fb7d5:properties-of-whole-numbers/e/additive-and-multiplicative-identity 2026-01-16T09:40:42.440263577Z Additive and Multiplicative identity In this exercise, we will learn that, for whole numbers, zero is the additive identity, and one is the multiplicative identity. Khan Academy exercise