https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/v/absolute-value-of-integers 2023-06-30T02:13:42.781179102Z Absolute value examples The absolute value of a number represents its distance from zero on a number line, always resulting in a positive value. This concept is essential in mathematics, as it helps to simplify calculations and understand the magnitude of numbers, regardless of their positive or negative sign. Examples include finding the absolute values of 5, -10, and -12. Sal Khan video https://cdn.kastatic.org/googleusercontent/0CiS0-HzLVFZCI-0u5H2CN_d6PxpPUNUr9o3VXnhJKRRLiZ4q94ukeS0STT3FR0jCDKlU631lt4hdXclkfJDd_LRsA Absolute value examples The absolute value of a number represents its distance from zero on a number line, always resulting in a positive value. This concept is essential in mathematics, as it helps to simplify calculations and understand the magnitude of numbers, regardless of their positive or negative sign. Examples include finding the absolute values of 5, -10, and -12. https://cdn.kastatic.org/ka-youtube-converted/r6hS_8nm1jM.mp4/r6hS_8nm1jM.mp4 142 Absolute values https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/a/intro-to-absolute-value 2023-12-11T22:10:22.66384181Z Intro to absolute value Learn how to think about absolute value as distance from zero, and practice finding absolute values. article https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/e/absolute_value 2025-04-16T16:44:07.80049Z Finding absolute values Practice finding the absolute value of a number, like -4 or 3. Marcia Lee exercise https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-absolute-value-new/v/absolute-value-and-number-lines 2021-06-15T15:59:48Z Absolute value and number lines One easy way to think of absolute value is the distance it is from zero. To do that, a number line comes in handy. Watch and learn. Sal Khan video https://cdn.kastatic.org/googleusercontent/KcmF25wgY0oK-k65PvMadn390DprLu_V2I8RprjlAU1mLqkXJfZ9ijAfbqA9J9ZiAUMywGFYosuXhPPZDqKHv4OAXA Absolute value and number lines One easy way to think of absolute value is the distance it is from zero. To do that, a number line comes in handy. Watch and learn. https://cdn.kastatic.org/ka-youtube-converted/frBJEYvyd-8.mp4/frBJEYvyd-8.mp4 339 Absolute values https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/x0267d782:cc-6th-comparing-absolute-values/v/interpreting-absolute-value 2023-06-30T02:13:42.781179102Z Interpreting absolute value In this weight change scenario, three individuals track their monthly progress. Jenna experiences a 3-pound weight loss, while Sarah gains 2.5 pounds and Bill gains 4 pounds. By plotting these changes on a number line, we can determine that Jenna lost the most weight, Bill had the largest change, and Sarah had the smallest change. video https://cdn.kastatic.org/googleusercontent/G9Ar8_t64xN7DsOqW7YJZ5a0kgQoDPBf75mmwLk7kjSFdtyJ03nHWeCI8gcjkh1fgSsT34_ig3PO9JtCFFlhRwYGXg Interpreting absolute value In this weight change scenario, three individuals track their monthly progress. Jenna experiences a 3-pound weight loss, while Sarah gains 2.5 pounds and Bill gains 4 pounds. By plotting these changes on a number line, we can determine that Jenna lost the most weight, Bill had the largest change, and Sarah had the smallest change. https://cdn.kastatic.org/ka-youtube-converted/faUh3bAxomM.mp4/faUh3bAxomM.mp4 226 Absolute values https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/x0267d782:cc-6th-comparing-absolute-values/e/absolute-value-word-problems 2026-03-11T14:50:44.328661088Z Interpreting absolute value Practice understanding the meaning of absolute value in real-world scenarios. Ryan Wall exercise https://www.khanacademy.org/math/algebra-home/alg-absolute-value/alg-absolute-value-equations/v/absolute-value-equations 2022-11-16T04:22:43.7414897Z Intro to absolute value equations and graphs To solve absolute value equations, find x values that make the expression inside the absolute value positive or negative the constant. To graph absolute value functions, plot two lines for the positive and negative cases that meet at the expression's zero. The graph is v-shaped. Sal Khan video https://cdn.kastatic.org/googleusercontent/3Ux8GfhZeWAJQ5FTcCweUVMWJVCGMIjjAWVd2MDSBmrvMLgyLym3qrQ8uG3rT8glOqCOE00htgkezn4PZ-QQFVU Intro to absolute value equations and graphs To solve absolute value equations, find x values that make the expression inside the absolute value positive or negative the constant. To graph absolute value functions, plot two lines for the positive and negative cases that meet at the expression's zero. The graph is v-shaped. https://cdn.kastatic.org/ka-youtube-converted/u6zDpUL5RkU.mp4/u6zDpUL5RkU.mp4 641 Absolute values https://www.khanacademy.org/math/algebra-home/alg-absolute-value/alg-absolute-value-equations/v/absolute-value-equations-1 2022-11-16T04:22:43.7414897Z Worked example: absolute value equations with one solution To solve absolute value problems with one solution, identify expression in absolute value bars. Recall absolute value is zero only if expression is zero. Make expression equal right-hand side. Use algebra to find x values that satisfy equation. Check solutions by plugging in. Graph solutions on number line. Mark points. Sal Khan video https://cdn.kastatic.org/googleusercontent/HDW2AzDlN8ANv_pCN05wzNbAOALOUuKlI60NG1WR2clTpSDOBLRv_TtPb72oJGNoVD2JrRHE5oiSvIr2HmCDxIgR Worked example: absolute value equations with one solution To solve absolute value problems with one solution, identify expression in absolute value bars. Recall absolute value is zero only if expression is zero. Make expression equal right-hand side. Use algebra to find x values that satisfy equation. Check solutions by plugging in. Graph solutions on number line. Mark points. https://cdn.kastatic.org/ka-youtube-converted/GwjiR2_7A7Y.mp4/GwjiR2_7A7Y.mp4 156 Absolute values https://www.khanacademy.org/math/algebra-home/alg-absolute-value/alg-absolute-value-inequalities/v/absolute-value-inequalities 2022-11-16T04:22:43.7414897Z Intro to absolute value inequalities To solve inequalities with absolute values, use a number line to see how far the absolute value is from zero. Split into two cases: when it is positive or negative. Solve each case with algebra. The answer is both cases together, in intervals or words. Sal Khan video https://cdn.kastatic.org/googleusercontent/DC9HM-guQbuFnuwO8JtMaKMj72NgjLcfLaB8xp4jtfb4Wx-rp5CbU2x9AnS5bicfdJk1ngj7rGLwRmc2MmT9Gf0udw Intro to absolute value inequalities To solve inequalities with absolute values, use a number line to see how far the absolute value is from zero. Split into two cases: when it is positive or negative. Solve each case with algebra. The answer is both cases together, in intervals or words. https://cdn.kastatic.org/ka-youtube-converted/iI_2Piwn_og.mp4/iI_2Piwn_og.mp4 793 Absolute values https://www.khanacademy.org/math/algebra-home/alg-absolute-value/alg-absolute-value-inequalities/v/absolute-value-inequalities-example-1 2020-06-23T07:22:43Z Solving absolute value inequalities 1 Sal solves the inequality |h|-19.5 < -12. Sal Khan video https://cdn.kastatic.org/googleusercontent/1M0nGgEl6_l-aQ3NZkMoZF6-kMQJPh4AJOzRg_vwxeP6Fj5zT67D7gYbrwn7mTcYxbssNYQ_iLTwepl3S0RrjjJX Solving absolute value inequalities 1 Sal solves the inequality |h|-19.5 < -12. https://cdn.kastatic.org/ka-youtube-converted/TvUCe6Bomy4.mp4/TvUCe6Bomy4.mp4 207 Absolute values https://www.khanacademy.org/math/algebra-home/alg-absolute-value/alg-absolute-value-inequalities/v/absolute-value-inequalities-example-2 2020-06-23T07:22:43Z Solving absolute value inequalities 2 Sal solves the inequality |p-12|+4 < 14. Sal Khan video https://cdn.kastatic.org/googleusercontent/E2R2Es2XK0pRDZCqJaB6sJxa3raE7834QoqLspyzNKyFC-X8rbojhmginJn4Lk49meBJrsKVfQZju8KHqdL7RamV Solving absolute value inequalities 2 Sal solves the inequality |p-12|+4 < 14. https://cdn.kastatic.org/ka-youtube-converted/YKQLZOq4HTA.mp4/YKQLZOq4HTA.mp4 279 Absolute values https://www.khanacademy.org/math/algebra-home/alg-absolute-value/alg-absolute-value-inequalities/v/writing-and-using-inequalities 2020-06-23T07:22:43Z Absolute value inequalities word problem Sal solves a word problem about a carpenter by writing an appropriate absolute value inequality and solving it. Sal Khan video https://cdn.kastatic.org/googleusercontent/oKKoHjhn2AIxF1yQKWCowtstRAacOUQR8o9wfuk-NgdQxjvqVVPqcp5YpqEEvArJXuK5hHjKL9ETvEdyHoK76--Rlg Absolute value inequalities word problem Sal solves a word problem about a carpenter by writing an appropriate absolute value inequality and solving it. https://cdn.kastatic.org/ka-youtube-converted/RHe9X2HDEjA.mp4/RHe9X2HDEjA.mp4 278 Absolute values