https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-negatives/v/adding-with-integer-chips 2023-08-31T15:42:23.143811656Z Adding with integer chips Let's model and evaluate sums using integer chip diagrams. When all the integer chips are negative, we can just count up our total negatives. When we have a positive integer chip and negative integer chip, those pair up to equal zero. So our sum is whatever chips are left over. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/a945086a-4bef-4a18-9053-51b257d256b0_1280_720_base.png Adding with integer chips Let's model and evaluate sums using integer chip diagrams. When all the integer chips are negative, we can just count up our total negatives. When we have a positive integer chip and negative integer chip, those pair up to equal zero. So our sum is whatever chips are left over. https://cdn.kastatic.org/ka-youtube-converted/BqfDKV0gPRE.mp4/BqfDKV0gPRE.mp4 226 Operations on integers https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-negatives/e/add-with-integer-chips 2025-02-13T21:04:37.380846713Z Add with integer chips Add integers with the support of integer chip diagrams. Charlie Auen exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/x6b17ba59:subtracting-negative-numbers-fluently/v/adding-the-opposite-with-integer-chips 2023-08-31T15:42:23.143811656Z Adding the opposite with integer chips Use integer chips to explore the conjecture that subtracting a number gives the same result as adding the opposite of the number. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/447b653f-d230-436c-9d0e-03667597667c_1280_720_base.png Adding the opposite with integer chips Use integer chips to explore the conjecture that subtracting a number gives the same result as adding the opposite of the number. https://cdn.kastatic.org/ka-youtube-converted/0O4hGprr71g.mp4/0O4hGprr71g.mp4 311 Operations on integers https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-negative-numbers/v/adding-integers-with-different-signs 2021-07-02T09:35:29Z Adding numbers with different signs Use a number line to add 15 + (-46) + 29 Sal Khan video https://cdn.kastatic.org/googleusercontent/w7nXlscCzE_OLhg0dP3KUJ6os_HQO657_y7dND6AK-mXwLV98KVsgaIaa8NFp6at2S7lltJTPUpzanii4Rt2GvPgEg Adding numbers with different signs Use a number line to add 15 + (-46) + 29 https://cdn.kastatic.org/ka-youtube-converted/NrVvu7cM8_o.mp4/NrVvu7cM8_o.mp4 332 Operations on integers https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-sub-neg-intro/v/subtracting-with-integer-chips 2023-08-31T15:42:23.143811656Z Subtracting with integer chips Let's model subtraction expressions using positive and negative integer chips. To subtract, we'll take away the appropriate number of chips. What if we don't have enough chips to take away? We can add as many zero pairs as we need, because they don't change the value of the expression. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/315bfd81-0ca7-434e-9009-ebfe02428f26_1280_720_base.png Subtracting with integer chips Let's model subtraction expressions using positive and negative integer chips. To subtract, we'll take away the appropriate number of chips. What if we don't have enough chips to take away? We can add as many zero pairs as we need, because they don't change the value of the expression. https://cdn.kastatic.org/ka-youtube-converted/yTqhzgpt_9Y.mp4/yTqhzgpt_9Y.mp4 330 Operations on integers https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-sub-neg-intro/e/subtract-with-integer-chips 2025-02-13T21:04:37.380846713Z Subtract with integer chips Write subtraction equations and subtract integers with the support of integer chip diagrams. Charlie Auen exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/x6b17ba59:subtracting-negative-numbers-fluently/v/adding-the-opposite-with-number-lines 2023-08-31T15:42:23.143811656Z Adding the opposite with number lines Explore the claim that subtracting a number is the same as adding its opposite using number lines. We move to the right on the number line when we add a positive number. We move to the left on the number line both when we subtract a positive number and when we add a negative number. So which direction do we draw the arrow when we subtract a negative number on the number line? Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/04743a2a-02d6-4526-889c-122e56c778d5_1280_720_base.png Adding the opposite with number lines Explore the claim that subtracting a number is the same as adding its opposite using number lines. We move to the right on the number line when we add a positive number. We move to the left on the number line both when we subtract a positive number and when we add a negative number. So which direction do we draw the arrow when we subtract a negative number on the number line? https://cdn.kastatic.org/ka-youtube-converted/S5oBJ9aL9QQ.mp4/S5oBJ9aL9QQ.mp4 297 Operations on integers https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-negatives/v/adding-negative-numbers-on-number-line-examples 2021-06-30T17:51:08Z Adding negative numbers on the number line Sal shows how to model 6 + (-2) using vertical number lines. video https://cdn.kastatic.org/googleusercontent/74CrDmxScjtKqXn1vsDH5M7xODQWwmASUbGrgNCBFA4Z2p-LhsS7DqT-uSpr6xW7BY3-a_oo2R_jdpH9wjGg21u3 Adding negative numbers on the number line Sal shows how to model 6 + (-2) using vertical number lines. https://cdn.kastatic.org/ka-youtube-converted/3CKpidALDEg.mp4/3CKpidALDEg.mp4 325 Operations on integers https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-negatives/e/adding-negative-numbers-on-the-number-line 2026-03-26T05:40:45.96433927Z Adding negative numbers on the number line Practice matching number line diagrams to addition expressions involving negative numbers. Ben S exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-sub-neg-intro/v/interpreting-integer-expressions 2021-06-30T17:51:09Z Interpreting numeric expressions example Sal chooses the correct interpretation of the integer expression 3 + (-7). video https://cdn.kastatic.org/googleusercontent/1GOlDR2IRlQ-hBc93IHnjQBRgCOyUhyetJj4xXj8p1Te7T9HYeyynpQPrskamKTqNE9qHWvlL2i7yegalR14oZMP Interpreting numeric expressions example Sal chooses the correct interpretation of the integer expression 3 + (-7). https://cdn.kastatic.org/ka-youtube-converted/ahib7LGDysQ.mp4/ahib7LGDysQ.mp4 146 Operations on integers https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-sub-neg-intro/e/understanding-addition-and-subtraction-on-the-number-line 2026-05-04T04:41:24.863510909Z Interpret negative number addition and subtraction expressions Practice working through addition and subtraction problems using the number line. Ben S. exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-and-sub-integers/e/integer-addition-and-subtraction-2 2023-07-31T23:04:20.970726205Z Adding & subtracting negative numbers Practice solving addition and subtraction problems with integers (positive and negative numbers). Ben S exercise https://www.khanacademy.org/math/arithmetic-home/negative-numbers/add-and-sub-integers/v/negative-number-practice 2021-06-30T17:51:06Z Addition & subtraction: find the missing value (part 1 of 2) Sal solves some missing value problems: -1 = 7 - __ and -10 + __ = -5 and 4 = -2 + __ and 6 + __ = -8 video https://cdn.kastatic.org/googleusercontent/PX-A6mSMU2Jxn9TUowoOxQMnlNROyB-15Dy94tMPDSaP95fT3GJ2bqkBR5mtPnzHH2BWh4jcByhmDwjhnp_yTtXl Addition & subtraction: find the missing value (part 1 of 2) Sal solves some missing value problems: -1 = 7 - __ and -10 + __ = -5 and 4 = -2 + __ and 6 + __ = -8 https://cdn.kastatic.org/ka-youtube-converted/-4bTgmmWI9k.mp4/-4bTgmmWI9k.mp4 333 Operations on integers https://www.khanacademy.org/math/arithmetic-home/negative-numbers/add-and-sub-integers/v/even-more-negative-number-practice 2021-06-30T17:51:04Z Addition & subtraction: find the missing value (part 2 of 2) Sal solves more missing value problems: 4 = -8 - __  and  __ - (-2) = -7  and  -4 = __ - 9 video https://cdn.kastatic.org/googleusercontent/jsR06Ewrzu3F_u6L6ZUW9GaSyb2idQs8q4xhmW8T2p-nITJPmbj9RPdkceI9iNRNsU0tMqtD3r2_zg5542ZdccBw Addition & subtraction: find the missing value (part 2 of 2) Sal solves more missing value problems: 4 = -8 - __  and  __ - (-2) = -7  and  -4 = __ - 9 https://cdn.kastatic.org/ka-youtube-converted/KNGa11O2uLE.mp4/KNGa11O2uLE.mp4 400 Operations on integers https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-and-sub-integers/e/integer-addition-and-subtraction 2024-10-29T19:16:47.355178161Z Addition & subtraction: find the missing value Practice finding the missing value in an addition or subtraction equation involving negative numbers. Ben S exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-negatives/v/multiplying-positive-and-negative-numbers 2021-07-02T09:35:29Z Multiplying positive & negative numbers Learn some rules of thumb for multiplying positive and negative numbers. Sal Khan video https://cdn.kastatic.org/googleusercontent/QOI4mHONWVGCneuIngb7PtALdwRUSsSpwJiO7HD5kMouOFLKJG7gnJ2UPvyhliCfhAxmXZkZNdmmeNpAjfp7a5Po Multiplying positive & negative numbers Learn some rules of thumb for multiplying positive and negative numbers. https://cdn.kastatic.org/ka-youtube-converted/47wjId9k2Hs.mp4/47wjId9k2Hs.mp4 334 Operations on integers https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/x6b17ba59:multiply-with-negatives/v/why-a-negative-times-a-negative-is-a-positive 2021-07-02T09:35:34Z Why a negative times a negative is a positive Use the distributive property to understand the products of negative numbers. Sal Khan video https://cdn.kastatic.org/googleusercontent/Mv7F49zXFml5TBg5TCDRkmv-6oSV1bOimpZfBjdCfJUwYTNWRq05IOPFhpDqShGGAcl0OKgT6wmEVo8KwsKp10-aQA Why a negative times a negative is a positive Use the distributive property to understand the products of negative numbers. https://cdn.kastatic.org/ka-youtube-converted/rK4sXm_MPWo.mp4/rK4sXm_MPWo.mp4 347 Operations on integers https://www.khanacademy.org/math/class-7-ncf/x063f95a40c290960:operation-with-integers/x063f95a40c290960:multiplication-of-integers/e/integers-3-d 2026-05-12T22:10:47.015864082Z Multiplication of integers Multiplication of integers, properties ashish exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-negatives/v/dividing-positive-and-negative-numbers 2021-07-02T09:35:33Z Dividing positive and negative numbers Discover the basics of dividing with negative numbers.  Sal Khan video https://cdn.kastatic.org/googleusercontent/M2wy60Mz_7z_UrIdGk4QOz1CSs5dlrjkNZ1oIZ19_fuPtZnbzNVa3Jv_jvv57SEvavE6MQyZzit__RB2rbv5kM3x Dividing positive and negative numbers Discover the basics of dividing with negative numbers.  https://cdn.kastatic.org/ka-youtube-converted/bQ-KR3clFgs.mp4/bQ-KR3clFgs.mp4 292 Operations on integers https://www.khanacademy.org/math/class-7-ncf/x063f95a40c290960:operation-with-integers/x063f95a40c290960:division-of-integers/e/integers-3-e 2026-05-27T07:20:36.932519492Z Division of integers Division of integers, properties ashish exercise https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-neg-word-problems/v/interpreting-multiplication-and-division-of-negative-numbers 2026-03-26T21:40:53.527314638Z Interpreting multiplication & division of negative numbers Let's think about the meaning of negative numbers in different situations. video https://cdn.kastatic.org/googleusercontent/JHJXPzZVPFSyvCR_VXH2aGo2TZiZGIAb_j0HWvITRo_fsWu9isLZJoFA9hpMIVXDoYUqhJKqvlaeIMb4PoDgybQ Interpreting multiplication & division of negative numbers Let's think about the meaning of negative numbers in different situations. https://cdn.kastatic.org/ka-youtube-converted/mPLCXCscqI8.mp4/mPLCXCscqI8.mp4 275 Operations on integers