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/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-repeating-decimals/v/converting-a-fraction-to-a-repeating-decimal 2023-07-17T20:04:18.610848495Z Converting a fraction to a repeating decimal To convert a fraction like 19/27 into a decimal, you should divide 27 into 19, and use the remainder to figure out the decimal. The decimal begins 0.703703..., and the notation for a repeating decimal like this is to write the numbers that repeat and then put a line above them. The first six digits of the decimal should be included in the answer. Sal Khan video https://cdn.kastatic.org/googleusercontent/NVyuuWSvwxfY-Xr_n6iAspQY4wujrE7zremxpkhxsER33ixHW-eC6c__YxpxMvfHuEVsv0KhgEIQdltGopy0jApLeg Converting a fraction to a repeating decimal To convert a fraction like 19/27 into a decimal, you should divide 27 into 19, and use the remainder to figure out the decimal. The decimal begins 0.703703..., and the notation for a repeating decimal like this is to write the numbers that repeat and then put a line above them. The first six digits of the decimal should be included in the answer. https://cdn.kastatic.org/ka-youtube-converted/Y2-tz27nKoQ.mp4/Y2-tz27nKoQ.mp4 265 Rational numbers https://www.khanacademy.org/math/7th-grade-matatag/x065dcf1640354e81:1st-quarter/x065dcf1640354e81:rational-numbers/e/rational-numbers-1-j 2025-01-30T02:03:08.999023639Z Converting rational numbers to decimal form Converting rational numbers to decimal form ashish exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-repeating-decimals/e/writing-fractions-as-repeating-decimals 2026-02-11T23:51:41.856643374Z Writing fractions as repeating decimals Practice writing fractions as repeating decimals. Get ready to bust out those long division skills! Rhonda Hughes 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-third-grade-math/imp-fractions/imp-fractions-on-the-number-line/e/fractions_on_the_number_line_1 2026-03-24T23:41:07.080866137Z Fractions on the number line Plot and spot fractions on the number line. Matt Wahl exercise https://www.khanacademy.org/math/cc-seventh-grade-math/x6b17ba59:rational-numbers-addition-and-subtraction/cc-7th-add-sub-rational-numbers/v/adding-and-subtracting-a-decimal-percentage-and-fraction 2020-09-16T18:09:48Z Adding & subtracting rational numbers: 79% - 79.1 - 58 1/10 Sal evaluates 79% - 79.1 - 58 1/10. Sal Khan video https://cdn.kastatic.org/googleusercontent/tZWkUFrFe9Z_H05VYRNW3aLy166bwYjpJrPTECgbcnTvH8wG4oruBfmNwHGeRW2RMBMz1iDKbWZ3_VZNYuJSlkHR Adding & subtracting rational numbers: 79% - 79.1 - 58 1/10 Sal evaluates 79% - 79.1 - 58 1/10. https://cdn.kastatic.org/ka-youtube-converted/FSpSrZQzzVs.mp4/FSpSrZQzzVs.mp4 269 Rational numbers https://www.khanacademy.org/math/cc-seventh-grade-math/x6b17ba59:rational-numbers-addition-and-subtraction/cc-7th-add-sub-rational-numbers/v/adding-fractions-decimals-and-percentages 2020-10-23T19:16:44Z Adding & subtracting rational numbers: 0.79 - 4/3 - 1/2 + 150% Sal evaluates 0.79 - 4/3 - 1/2 + 150%. Sal Khan video https://cdn.kastatic.org/googleusercontent/hxJmi4LrL6VShnTZyO3KymEsuGWiCKZp1wWmsnrJJDU6l3TV4jdZX_azZO0lykMXXiKqo1XA_CN6jnK1FarD3kqBbA Adding & subtracting rational numbers: 0.79 - 4/3 - 1/2 + 150% Sal evaluates 0.79 - 4/3 - 1/2 + 150%. https://cdn.kastatic.org/ka-youtube-converted/xEDnwEOOf7Y.mp4/xEDnwEOOf7Y.mp4 274 Rational numbers https://www.khanacademy.org/math/cc-seventh-grade-math/x6b17ba59:rational-numbers-addition-and-subtraction/cc-7th-add-sub-rational-numbers/e/adding_and_subtracting_rational_numbers 2023-07-31T23:04:20.970726205Z Adding & subtracting rational numbers Practice adding and subtracting negative fractions, decimals, and percents. Peter Collingridge exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-neg-fractions/v/multiplying-negative-and-positive-fractions 2021-06-30T17:51:10Z Multiplying positive and negative fractions See examples of multiplying and dividing fractions with negative numbers. Sal Khan video https://cdn.kastatic.org/googleusercontent/vkR4iP2PXl0SGkwmmpX-7N9mKNP7RWX8ilHMuROW745BJBvmp_eElCItbyPY-tweaVYgddFoNaaHpXSanPm92ZUS Multiplying positive and negative fractions See examples of multiplying and dividing fractions with negative numbers. https://cdn.kastatic.org/ka-youtube-converted/pi3WWQ0q6Lc.mp4/pi3WWQ0q6Lc.mp4 273 Rational numbers https://www.khanacademy.org/math/7th-grade-matatag/x065dcf1640354e81:1st-quarter/x065dcf1640354e81:rational-numbers/e/rational-numbers-1-e 2026-06-01T10:00:48.582989644Z Multiplying 3 or more rational numbers Multiplying 3 or more rational numbers ashish exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/x0267d782:dividing-fractions-and-whole-numbers/e/divide-fractions-by-whole-numbers 2023-12-11T22:10:22.66384181Z Divide fractions by whole numbers Practice dividing fractions by whole numbers. Lindsay Driscoll exercise https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-decimals/a/arithmetic-with-rational-numbers-faq 2025-11-14T21:00:50.622853365Z Arithmetic with rational numbers FAQ Frequently asked questions about arithmetic with rational numbers article https://www.khanacademy.org/math/7th-grade-matatag/x065dcf1640354e81:1st-quarter/x065dcf1640354e81:rational-numbers/a/gtp--praxis-math--article--rational-number-operations--lesson 2021-04-29T08:01:33Z Rational number operations | Lesson article