https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:real-numbers/x06d55bfa213a79fd:irrational-numbers/v/intro-to-rational-irrational-numbers-indian-accent 2025-06-03T10:39:13.727334631Z Intro to rational & irrational numbers Learn the difference between rational and irrational numbers, learn how to identify them, and discover why some of the most famous numbers in mathematics, like Pi and e, are actually irrational. Did you know that there is always an irrational number between any two rational numbers? Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Intro to rational & irrational numbers Learn the difference between rational and irrational numbers, learn how to identify them, and discover why some of the most famous numbers in mathematics, like Pi and e, are actually irrational. Did you know that there is always an irrational number between any two rational numbers? https://cdn.kastatic.org/ka-youtube-converted/ZFVTMBoD48c.mp4/ZFVTMBoD48c.mp4 354 Filling the Spaces: Fractions and Rational Numbers https://www.khanacademy.org/math/revision-mh-math-class-6/x01cb2212e31ce997:week-1/x01cb2212e31ce997:operations-on-fractions/v/intro-to-multiplying-2-fractions_indian_accent 2025-06-05T06:01:43.515132284Z Intro to multiplying 2 fractions Sal introduces multiplying 2 fractions.  Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Intro to multiplying 2 fractions Sal introduces multiplying 2 fractions.  https://cdn.kastatic.org/ka-youtube-converted/8Ldc0FtdpT8.mp4/8Ldc0FtdpT8.mp4 232 Filling the Spaces: Fractions and Rational Numbers https://www.khanacademy.org/math/ka-math-class-7/x26f4f4b84655c15c:fractions-and-decimals-ncert-new/x26f4f4b84655c15c:multiplication-of-fractions/v/fractions-with-operator-of 2024-04-01T10:43:36.405965167Z Fractions with operator "of" In this video we discuss "of" as an operator for multiplication of integers. Devashish Phadnis video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Fractions with operator "of" In this video we discuss "of" as an operator for multiplication of integers. https://cdn.kastatic.org/ka-youtube-converted/47oLChusZ1s.mp4/47oLChusZ1s.mp4 206 Filling the Spaces: Fractions and Rational Numbers https://www.khanacademy.org/math/ka-math-class-7/x26f4f4b84655c15c:fractions-and-decimals-ncert-new/x26f4f4b84655c15c:multiplication-of-fractions/v/multiplying-2-fractions-number-line 2025-06-05T09:01:06.799874579Z Multiplying 2 fractions: number line Learn the concept of multiplying fractions by fractions. Watch as the process is visually represented on a number line, helping to understand the 'why' behind the procedure.  Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Multiplying 2 fractions: number line Learn the concept of multiplying fractions by fractions. Watch as the process is visually represented on a number line, helping to understand the 'why' behind the procedure.  https://cdn.kastatic.org/ka-youtube-converted/0QqU4LzuRiI.mp4/0QqU4LzuRiI.mp4 257 Filling the Spaces: Fractions and Rational Numbers https://www.khanacademy.org/math/cc-fourth-grade-math/4th-multiply-fractions/multiplying-whole-numbers-and-fractions/e/multiplying_fractions_by_integers 2026-04-08T00:54:09.631945657Z Multiply fractions and whole numbers Practice multiplying a whole number times a fraction. Isaac Fingerson exercise https://www.khanacademy.org/math/cc-fifth-grade-math/5th-multiply-fractions/imp-multiplying-fractions/e/multiplying_fractions_0.5 2025-02-07T09:32:27.480992556Z Multiplying fractions Practice multiplying two fractions. Matt Wahl exercise https://www.khanacademy.org/math/revision-mh-math-class-6/x01cb2212e31ce997:week-1/x01cb2212e31ce997:operations-on-fractions/v/understanding-division-of-fractions_indian_accent 2025-06-05T06:01:43.515132284Z Understanding division of fractions Dividing fractions can be understood using number lines and jumps. To divide a fraction like 8/3 by another fraction like 1/3, count the jumps of 1/3 needed to reach 8/3. Alternatively, multiply 8/3 by the reciprocal of the divisor (3/1) to get the same result. This concept applies to other fractions, such as dividing 8/3 by 2/3. Skyloom (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Understanding division of fractions Dividing fractions can be understood using number lines and jumps. To divide a fraction like 8/3 by another fraction like 1/3, count the jumps of 1/3 needed to reach 8/3. Alternatively, multiply 8/3 by the reciprocal of the divisor (3/1) to get the same result. This concept applies to other fractions, such as dividing 8/3 by 2/3. https://cdn.kastatic.org/ka-youtube-converted/qjdYmNJMCwE.mp4/qjdYmNJMCwE.mp4 307 Filling the Spaces: Fractions and Rational Numbers https://www.khanacademy.org/math/cc-fifth-grade-math/divide-fractions/imp-dividing-unit-fractions-by-whole-numbers/e/dividing_fractions_0.5 2021-07-02T09:35:35Z Dividing unit fractions by whole numbers Divide a unit fraction by a whole number. Matt Wahl exercise https://www.khanacademy.org/math/cc-fifth-grade-math/divide-fractions/imp-dividing-whole-numbers-by-unit-fractions/e/dividing_fractions 2023-07-18T22:31:40.73533088Z Dividing whole numbers by unit fractions Practice dividing a whole number by a unit fraction. Peter Kuperman exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/e/dividing_fractions_1.5 2025-02-07T09:32:27.480992556Z Dividing fractions Divide fractions by fractions (positive only). exercise 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 Filling the Spaces: Fractions and 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 Filling the Spaces: Fractions and 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 Filling the Spaces: Fractions and 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/revision-term-1-mh-math-class-8/x0c43044bb5624863:week-1/x0c43044bb5624863:rational-and-irrational-numbers/v/plotting-rational-numbers-on-a-number-line 2025-05-19T03:36:08.2384864Z Plotting rational numbers on a number line Step into the world of rational numbers and learn how to plot them on a number line like a pro! From unit fractions to numbers where the numerator is smaller and greater than the denominator, this video breaks down all the cases with clarity. Perfect for leveling up your math game! Mahak Wasan video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Plotting rational numbers on a number line Step into the world of rational numbers and learn how to plot them on a number line like a pro! From unit fractions to numbers where the numerator is smaller and greater than the denominator, this video breaks down all the cases with clarity. Perfect for leveling up your math game! https://cdn.kastatic.org/ka-youtube-converted/N6mr1lN0RtI.mp4/N6mr1lN0RtI.mp4 354 Filling the Spaces: Fractions and Rational Numbers https://www.khanacademy.org/math/ncert-math-class-9-new/x56891bfac37feca0:the-world-of-numbers/x56891bfac37feca0:filling-the-spaces-fractions-and-rational-numbers/e/plot-rational-numbers-on-number-line 2026-05-12T22:10:47.015864082Z Plot Rational Numbers on Number Line In this exercise, we will learn to plot rational numbers on the number line. Khan Academy exercise https://www.khanacademy.org/math/class-7-od/x48ac5f37f7da7ee1:rational-numbers-odia-class-7/x48ac5f37f7da7ee1:standard-form-of-rational-numbers-odia-class-7/e/rational-numbers-on-number-line-odia 2026-04-08T00:36:09.500768563Z Rational Numbers on Number Line Practice problems to get comfortable with representing rational numbers on number line. Satya Swaroop exercise https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:real-numbers/x06d55bfa213a79fd:rational-numbers/v/rational-numbers-between-two-rational-numbers 2024-12-27T06:21:45.961878322Z Rational numbers between two rational numbers In this video we understand how many rational numbers can be found between two rational numbers and that too with how we can show this? Devashish Phadnis video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Rational numbers between two rational numbers In this video we understand how many rational numbers can be found between two rational numbers and that too with how we can show this? https://cdn.kastatic.org/ka-youtube-converted/kidrTJwAkOs.mp4/kidrTJwAkOs.mp4 521 Filling the Spaces: Fractions and Rational Numbers https://www.khanacademy.org/math/class-7-od/x48ac5f37f7da7ee1:rational-numbers-odia-class-7/x48ac5f37f7da7ee1:rational-number-between-two-rational-numbers-odia-class-7/e/rational-numbers-between-rational-numbers-up-new 2025-01-30T02:03:08.999023639Z Rational numbers between rational numbers . Aakash Bagga exercise