https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:irrational-numbers/x2f8bb11595b61c86:irrational-numbers-intro/v/introduction-to-rational-and-irrational-numbers 2023-07-28T22:13:00.844712665Z 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's always an irrational number between any two rational numbers? Sal Khan video https://cdn.kastatic.org/googleusercontent/TW91vVssinJ9NoXzUVhHLxwtgBPWLaDb19VLK7IQru9kKFKuL4vfLUlA8lWl5RYhHF3ESvUlSZCJXP_xHRrLuTAMIA 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's always an irrational number between any two rational numbers? https://cdn.kastatic.org/ka-youtube-converted/cLP7INqs3JM.mp4/cLP7INqs3JM.mp4 355 Rational Numbers https://www.khanacademy.org/math/ka-math-class-7/x26f4f4b84655c15c:rational-numbers-ncert-new/x26f4f4b84655c15c:what-are-rational-numbers/e/identifying-rational-numbers 2026-02-25T07:10:43.942529673Z Identifying rational numbers Identifying rational numbers anmol exercise https://www.khanacademy.org/math/ka-math-class-7/x26f4f4b84655c15c:rational-numbers-ncert-new/x26f4f4b84655c15c:rational-numbers-on-a-number-line/e/positive-and-negative-rational-numbers-up-new 2025-02-10T09:17:49.615690606Z Positive and negative rational numbers . Aakash Bagga exercise https://www.khanacademy.org/math/ka-math-class-7/x26f4f4b84655c15c:rational-numbers-ncert-new/x26f4f4b84655c15c:what-are-rational-numbers/e/different-forms-of-a-rational-number-up-new 2025-02-06T09:49:25.322311787Z Change the form of a rational number . Aakash Bagga exercise https://www.khanacademy.org/math/ka-math-class-7/x26f4f4b84655c15c:rational-numbers-ncert-new/x26f4f4b84655c15c:comparison-of-rational-numbers/v/standard-form-of-rational-number 2024-12-27T06:21:45.961878322Z Standard form of rational number What is standard form of a rational number, how to identify whether the rational number is given in the standard form. Devashish Phadnis video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Standard form of rational number What is standard form of a rational number, how to identify whether the rational number is given in the standard form. https://cdn.kastatic.org/ka-youtube-converted/k6ZnMfved4k.mp4/k6ZnMfved4k.mp4 233 Rational Numbers https://www.khanacademy.org/math/class-7-od/x48ac5f37f7da7ee1:rational-numbers-odia-class-7/x48ac5f37f7da7ee1:standard-form-of-rational-numbers-odia-class-7/e/simplify-rational-numbers-up-new 2025-02-10T09:17:49.615690606Z Simplify rational numbers . Aakash Bagga exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/x0267d782:ordering-rational-numbers/v/ordering-rational-numbers 2023-05-08T07:03:29.632031759Z Ordering rational numbers Learn how to order numbers from least to greatest using a number line. Convert fractions and decimals to mixed numbers or whole numbers, then plot them on the number line. Master this skill by practicing with examples like 7/3, -5/2, 0, -2, -12/4, and -3.25. video https://cdn.kastatic.org/googleusercontent/4vZhBOtU2DMKVIs_11OWaIqwJwnatAX-JmzW4BYSPcR-9412RUb0awe6jWoHhZQHlZ7baOorTvDW6va0TU1L54hR Ordering rational numbers Learn how to order numbers from least to greatest using a number line. Convert fractions and decimals to mixed numbers or whole numbers, then plot them on the number line. Master this skill by practicing with examples like 7/3, -5/2, 0, -2, -12/4, and -3.25. https://cdn.kastatic.org/ka-youtube-converted/i1i2_9wg6N8.mp4/i1i2_9wg6N8.mp4 254 Rational Numbers https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-comparing-negative-numbers/v/compare-rational-numbers-using-a-number-line 2023-07-14T23:21:51.065682509Z Compare rational numbers using a number line In this math tutorial, we learn to compare positive and negative numbers, decimals, and fractions using a number line. By visualizing the numbers on a number line, we can easily determine which number is greater or smaller. This method helps build a strong foundation in understanding number relationships and comparisons. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/9d431bed-8652-49f8-806c-2aacefdae1a5_1280_720_base.png Compare rational numbers using a number line In this math tutorial, we learn to compare positive and negative numbers, decimals, and fractions using a number line. By visualizing the numbers on a number line, we can easily determine which number is greater or smaller. This method helps build a strong foundation in understanding number relationships and comparisons. https://cdn.kastatic.org/ka-youtube-converted/6h0Wi8Dcd0E.mp4/6h0Wi8Dcd0E.mp4 339 Rational Numbers 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/mappers/number-and-operations-224-227/x261c2cc7:adding-subtracting-negative-fractions/v/adding-and-subtracting-three-fractions 2021-06-30T17:51:09Z Adding & subtracting fractions Add and subtract negative fractions with unlike denominators. Sal Khan video https://cdn.kastatic.org/googleusercontent/mo5H2pBMZX-6YDpMPgpc05oLIlGH1rpzbuzAeGVeTStnVtvgdNcH62Y-89OiGScUNKaiQKf6kASKIJfTpVTbHjc Adding & subtracting fractions Add and subtract negative fractions with unlike denominators. https://cdn.kastatic.org/ka-youtube-converted/9tmtDBpqq9s.mp4/9tmtDBpqq9s.mp4 156 Rational Numbers https://www.khanacademy.org/math/cc-seventh-grade-math/x6b17ba59:rational-numbers-addition-and-subtraction/cc-7th-add-sub-neg-fractions/e/adding_and_subtracting_fractions 2024-06-04T16:35:44.460400405Z Adding & subtracting negative fractions Practice adding and subtracting positive and negative fractions. Marcia Lee exercise https://www.khanacademy.org/math/cc-fifth-grade-math/5th-multiply-fractions/imp-multiplying-fractions/v/concept-fraction-mult-number-line 2023-07-24T13:48:13.07161686Z 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.  Sal Khan video https://cdn.kastatic.org/googleusercontent/JPcNiw1X2Oa7quN0eFnNhsYqlv_9XGldvs17ursdwwcgEqFqoXqXiXVX8duxC_P9RTk5opUB5WLVgq6GgqBq-0HRZA 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/lJdb4_Fuxvw.mp4/lJdb4_Fuxvw.mp4 286 Rational Numbers https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-neg-fractions/e/multiplying_fractions 2025-02-06T19:34:52.815179935Z Multiplying positive and negative fractions Practice multiplying fractions. Fractions in these problems may be positive or negative. Ben Alpert exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/conceptual-understanding-of-dividing-fractions-by-fractions 2023-04-26T09:17:19.896568581Z 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. Sal Khan video https://cdn.kastatic.org/googleusercontent/Q6ASbQmSOuXJNWk0IGjFBku1VECkZX-lMPQbzl_3VRyuPGzXtOcFLw49A8NDUCF_i4DeoXz6W90G9ftgsHT2peo 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/f3ySpxX9oeM.mp4/f3ySpxX9oeM.mp4 342 Rational Numbers https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-neg-fractions/e/dividing_fractions_2 2024-05-24T13:11:21.532170275Z Dividing positive and negative fractions Practice dividing fractions. Fractions in these problems may be positive or negative. Peter Collingridge exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-fracs-to-decimals/v/converting-fractions-to-decimals-example 2021-06-28T22:10:39Z Worked example: Converting a fraction (7/8) to a decimal Learn how to write the fraction, 7/8 as a decimal. Sal Khan video https://cdn.kastatic.org/googleusercontent/Vh2-T6T6EWEuw3kQOovGtZOzYD6klJocedAwVbBvbyXOE0iiAGANTmUxmQo9aC4ymrNCuxXPy1UJzpD7IYUS3-5f Worked example: Converting a fraction (7/8) to a decimal Learn how to write the fraction, 7/8 as a decimal. https://cdn.kastatic.org/ka-youtube-converted/Y1V5mZaMfTk.mp4/Y1V5mZaMfTk.mp4 137 Rational Numbers https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-fracs-to-decimals/e/converting_fractions_to_decimals 2026-04-08T20:00:43.031302396Z Converting fractions to decimals Practice converting a fraction to a decimal.   Solutions include repeating decimals. Marcia Lee exercise https://www.khanacademy.org/math/cc-fourth-grade-math/imp-decimals/imp-common-fractions-and-decimals/e/write-common-fractions-as-decimals 2025-07-01T17:57:03.234358778Z Write common fractions as decimals Practice becoming familiar with common fractions and decimals and converting between them. Lindsay exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-multistep-word-probs/v/rational-number-word-problem-example-1 2021-06-21T15:29:09Z Rational number word problem: ice Word problems force us to put concepts to work using real-world applications. In this example, determine the volume of frozen water and express the answer as a fraction. Sal Khan video https://cdn.kastatic.org/googleusercontent/W_9y8ZUMNt7TERy_zJ5LokCxV2U7UODKjdEa6uK9MybyeDpD496HVJw46oHLotgb8OwgvM1SLmwLkOilyU21faiDcQ Rational number word problem: ice Word problems force us to put concepts to work using real-world applications. In this example, determine the volume of frozen water and express the answer as a fraction. https://cdn.kastatic.org/ka-youtube-converted/MZpULgKhaEU.mp4/MZpULgKhaEU.mp4 201 Rational Numbers https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-multistep-word-probs/v/multistep-word-problems-example-2 2021-06-21T15:29:10Z Rational number word problem: cosmetics Remember units of measurement? Convert minutes into hours and put your knowledge of fractions to work in this word problem. Sal Khan video https://cdn.kastatic.org/googleusercontent/JLB_Qkd-L_2VJmXMwcfRdcQrMR0quGxfbeq8rj9dEmjFb0kMkJ0ZjlLVjbF-uizDp2RZ9UpMMxlbk25f5YM4WIht Rational number word problem: cosmetics Remember units of measurement? Convert minutes into hours and put your knowledge of fractions to work in this word problem. https://cdn.kastatic.org/ka-youtube-converted/QfsK8ZyC_bE.mp4/QfsK8ZyC_bE.mp4 145 Rational Numbers https://www.khanacademy.org/math/class-7-od/x48ac5f37f7da7ee1:rational-numbers-odia-class-7/x48ac5f37f7da7ee1:use-of-rational-numbers-in-mathematics-odia-class-7/e/real-world-problems-with-rational-numbers 2025-05-22T15:16:12.691169048Z Real world problems with Rational numbers Real world problems with Rational numbers Ashish Gupta exercise https://www.khanacademy.org/math/cc-seventh-grade-math/x6b17ba59:rational-numbers-addition-and-subtraction/cc-7th-absolute-value/v/absolute-value-as-distance-between-numbers 2021-06-24T19:33:07Z Absolute value as distance between numbers In this video, we think about what |a-b| really means, and we verify that |a-b| = |b-a| by looking at an example. video https://cdn.kastatic.org/googleusercontent/HyOaoR_u2S6N9h2FfwLhEPfxGWqJ27hpu3Fp5Qic_LD8sb71w7sdSRczS3AmOoLPJkuT5LgQ6iAaGQhdz-GZpiA Absolute value as distance between numbers In this video, we think about what |a-b| really means, and we verify that |a-b| = |b-a| by looking at an example. https://cdn.kastatic.org/ka-youtube-converted/t4xOkpP8FgE.mp4/t4xOkpP8FgE.mp4 330 Rational Numbers https://www.khanacademy.org/math/class-7-od/x48ac5f37f7da7ee1:rational-numbers-odia-class-7/x48ac5f37f7da7ee1:absolute-value-of-a-rational-number-odia-class-7/e/absolute-value-of-a-rational-number-up-new 2025-05-16T10:19:55.03911907Z Absolute value of a rational number . Aakash Bagga exercise https://www.khanacademy.org/math/class-7-od/x48ac5f37f7da7ee1:rational-numbers-odia-class-7/x48ac5f37f7da7ee1:rational-number-between-two-rational-numbers-odia-class-7/v/rational-numbers-between-rational-numbers 2025-07-22T06:32:09.044053071Z Rational numbers between rational numbers How many numbers can you fit between two fractions? You might be surprised to learn the answer is infinite! This video explores the fascinating concept that there's an unlimited number of rational numbers between any two given rational numbers. We'll break down three simple methods to find them, whether the denominators are the same, different, or you're working with decimals. Prepare to have your mind blown by the sheer density of the number line! 🤯 Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Rational numbers between rational numbers How many numbers can you fit between two fractions? You might be surprised to learn the answer is infinite! This video explores the fascinating concept that there's an unlimited number of rational numbers between any two given rational numbers. We'll break down three simple methods to find them, whether the denominators are the same, different, or you're working with decimals. Prepare to have your mind blown by the sheer density of the number line! 🤯 https://cdn.kastatic.org/ka-youtube-converted/A_HpE88wdVQ.mp4/A_HpE88wdVQ.mp4 341 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