https://www.khanacademy.org/math/cc-seventh-grade-math/x6b17ba59:rational-numbers-addition-and-subtraction/cc-7th-properties-of-addition-and-subtraction/v/associative-commutative-with-negatives 2023-08-31T15:42:23.143811656Z Associative and commutative properties of addition with negatives The commutative and associative properties apply to addition, but not to subtraction. Rewriting subtraction as addition of the opposite is a superpower that suddenly lets us use the commutative and associative properties (without changing the value of the expression) in expressions that previously had subtraction involved. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/040239e8-e144-470f-af16-e4a7a4cc4aca_1280_720_base.png Associative and commutative properties of addition with negatives The commutative and associative properties apply to addition, but not to subtraction. Rewriting subtraction as addition of the opposite is a superpower that suddenly lets us use the commutative and associative properties (without changing the value of the expression) in expressions that previously had subtraction involved. https://cdn.kastatic.org/ka-youtube-converted/uHWDJHerbGQ.mp4/uHWDJHerbGQ.mp4 298 Properties of addition & subtraction https://www.khanacademy.org/math/cc-seventh-grade-math/x6b17ba59:rational-numbers-addition-and-subtraction/cc-7th-properties-of-addition-and-subtraction/e/commutative-and-associative-properties-of-addition-with-integers 2026-06-25T23:29:52.806967987Z Commutative and associative properties of addition with integers Rewrite numerical expressions involving subtraction as sums of integers in order to apply the commutative and associative properties of addition. Charlie Auen exercise https://www.khanacademy.org/math/cc-seventh-grade-math/x6b17ba59:rational-numbers-addition-and-subtraction/cc-7th-properties-of-addition-and-subtraction/v/equivalent-expressions-with-negative-rationals 2023-08-31T15:42:23.143811656Z Equivalent expressions with negative numbers Understand that we can commute and associate terms as long as we keep the signs with the terms. We can also apply the additive identity property and the additive inverse property. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/3c319652-60cd-48f7-85e4-fa813340209f_1280_720_base.png Equivalent expressions with negative numbers Understand that we can commute and associate terms as long as we keep the signs with the terms. We can also apply the additive identity property and the additive inverse property. https://cdn.kastatic.org/ka-youtube-converted/Shvr_SgLPJo.mp4/Shvr_SgLPJo.mp4 613 Properties of addition & subtraction https://www.khanacademy.org/math/cc-seventh-grade-math/x6b17ba59:rational-numbers-addition-and-subtraction/cc-7th-properties-of-addition-and-subtraction/e/negative-number-addition-and-subtraction-equivalent-expressions 2024-11-06T18:43:19.597106389Z Equivalent expressions with negative numbers Practice identifying equivalent expressions involving the addition and subtraction of negative numbers. Ben S exercise