{"segment":[{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["3341"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai22/lv3/img\/2.jpg' \/><\/center> 2000 + (-570) + 2341 + (-430) = _input_","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>\u00c1p d\u1ee5ng t\u00ednh ch\u1ea5t giao ho\u00e1n, t\u00ednh ch\u1ea5t k\u1ebft h\u1ee3p c\u1ee7a ph\u00e9p c\u1ed9ng c\u00e1c s\u1ed1 nguy\u00ean \u0111\u1ec3 nh\u00f3m c\u00e1c c\u1eb7p s\u1ed1 \u0111\u1ed1i nhau ho\u1eb7c c\u00f3 t\u1ed5ng b\u1eb1ng s\u1ed1 tr\u00f2n ch\u1ee5c, tr\u00f2n tr\u0103m, tr\u00f2n ngh\u00ecn,... \u0111\u1ec3 t\u00ednh nhanh<\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}& 2000 + (-570) + 2341 + (-430)\\\\&= [(-570) + (-430)] + (2000 + 2341)\\\\&= (-1000) + 4341\\\\&= 4341 - 1000\\\\= 3341\\end{align*}$<br\/>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0: <span class='basic_pink'>3341<\/span><\/span> <br\/>"}]}],"id_ques":1081},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" T\u00ecm s\u1ed1 nguy\u00ean a, bi\u1ebft: |a| + 5 = |-25| + |-3|","select":["A. a = 23","B. a = -23","C. a = 23; a = -23"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u01b0\u1edbc 1: T\u00ednh |-25| + |-3|<br\/>B\u01b0\u1edbc 2: T\u00ecm |a|<br\/>B\u01b0\u1edbc 3: T\u00ecm a<br\/>(<i><b>L\u01b0u \u00fd:<\/b> Kho\u1ea3ng c\u00e1ch t\u1eeb \u0111i\u1ec3m a \u0111\u1ebfn \u0111i\u1ec3m 0 tr\u00ean tr\u1ee5c s\u1ed1 l\u00e0 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a s\u1ed1 nguy\u00ean a<\/i>)<\/b><\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}&|a| + 5 = |-25| + |-3|\\\\&|a| + 5 = 25 + 3\\\\&|a| + 5 = 28\\\\&|a| = 28 - 5\\\\&|a| = 23\\end{align*}$<br\/>$\\Rightarrow$ a = 23 ho\u1eb7c a = -23 <br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> C. a = 23; a = -23<\/span><\/span> <br\/>","column":3}]}],"id_ques":1082},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":" T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c:<br\/>A = x + 2015 + (-x) + (-1005) , bi\u1ebft x = 2017","select":["A = 1010","A = -1010","A = -3020","A = 3020"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>B\u01b0\u1edbc 1: Thay gi\u00e1 tr\u1ecb c\u1ee7a x v\u00e0o bi\u1ec3u th\u1ee9c A<br\/>B\u01b0\u1edbc 2: T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c A <br\/>(<i><b>L\u01b0u \u00fd:<\/b> \u00c1p d\u1ee5ng t\u00ednh ch\u1ea5t giao ho\u00e1n, t\u00ednh ch\u1ea5t k\u1ebft h\u1ee3p c\u1ee7a ph\u00e9p c\u1ed9ng c\u00e1c s\u1ed1 nguy\u00ean \u0111\u1ec3 nh\u00f3m c\u00e1c c\u1eb7p s\u1ed1 \u0111\u1ed1i nhau ho\u1eb7c c\u00f3 t\u1ed5ng b\u1eb1ng s\u1ed1 tr\u00f2n ch\u1ee5c, tr\u00f2n tr\u0103m, tr\u00f2n ngh\u00ecn,... \u0111\u1ec3 t\u00ednh nhanh<\/i>)<\/b><\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Thay x = 2017 v\u00e0o bi\u1ec3u th\u1ee9c A = x + 2015 + (-x) + (-1005) ta \u0111\u01b0\u1ee3c:<br\/>$\\begin{align*}A&= 2017 + 2015 + (-2017) + (-1005)\\\\A&= [2017 + (-2017)] + [2015 + (-1005)]\\\\A&= 0 + (2015 - 1005)\\\\A&= 0 + 1010\\\\A&= 1010\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A = 1010<\/span><\/span> <br\/>","column":2}]}],"id_ques":1083},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":10,"ques":" T\u00ednh t\u1ed5ng c\u00e1c s\u1ed1 nguy\u00ean x, bi\u1ebft: -20 $\\le$ x < 19 ","select":["A. -20","B. 20 ","C. 0","D. -39"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>B\u01b0\u1edbc 1: T\u00ecm c\u00e1c s\u1ed1 nguy\u00ean x th\u1ecfa m\u00e3n -20 $\\le$ x < 19 <br\/>B\u01b0\u1edbc 2: T\u00ednh t\u1ed5ng c\u00e1c s\u1ed1 nguy\u00ean x v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c \u1edf b\u01b0\u1edbc 1<br\/><b>L\u01b0u \u00fd: <\/b> <i>Hai s\u1ed1 nguy\u00ean \u0111\u1ed1i nhau c\u00f3 t\u1ed5ng b\u1eb1ng 0<\/i><\/span> <br\/><br\/><span class='basic_left'> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: -20 $\\le$ x < 19 $\\Rightarrow $ x $ \\in$ {-20; -19; -18; ...; 18}<br\/> T\u1ed5ng c\u1ee7a c\u00e1c s\u1ed1 nguy\u00ean x l\u00e0:<br\/>$\\begin{align*}& (-20) + (-19) + (-18) + ... + 18 \\\\&= (-20) + (-19) + [(-18) + 18] + ... + 0 \\\\&= (-39) + 0 + 0 + ... + 0\\\\&= -39 \\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> D. -39<\/span><\/span><\/span> <br\/>","column":2}]}],"id_ques":1084},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":10,"ques":" N\u1ebfu a + |a| = 0, a $\\in$ Z th\u00ec: ","select":["A. a = 0","B. a < 0 ","C. a > 0","D. a $\\le$ 0"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3:<br\/>N\u1ebfu a = 0 th\u00ec |a| = 0 do \u0111\u00f3 a + |a| = 0 + 0 = 0<br\/>N\u1ebfu a < 0 th\u00ec |a| = -a do \u0111\u00f3 a + |a| = a + (-a) = 0<br\/>N\u1ebfu a > 0 th\u00ec |a | = a do \u0111\u00f3 a + |a| = a + a = 2a<br\/>V\u1eady a + |a| = 0, a $\\in$ Z th\u00ec: a $\\le$ 0<br\/>Ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'>D. a $\\le$ 0<\/span><\/span> <br\/><\/span>","column":2}]}],"id_ques":1085},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" T\u00ednh t\u1ed5ng c\u00e1c s\u1ed1 nguy\u00ean x, bi\u1ebft: -101 $\\le$ x $\\le$ 100 ","select":["A. -201","B. -101 ","C. 0","D. -11"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>B\u01b0\u1edbc 1: T\u00ecm c\u00e1c s\u1ed1 nguy\u00ean x th\u1ecfa m\u00e3n -101 $\\le$ x $\\le$ 100 <br\/>B\u01b0\u1edbc 2: T\u00ednh t\u1ed5ng c\u00e1c s\u1ed1 nguy\u00ean x v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c \u1edf b\u01b0\u1edbc 1<br\/><b>L\u01b0u \u00fd: <\/b> <i>Hai s\u1ed1 nguy\u00ean \u0111\u1ed1i nhau c\u00f3 t\u1ed5ng b\u1eb1ng 0<\/i><\/span> <br\/><br\/><span class='basic_left'> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: -101 $\\le$ x $\\le$ 100 $\\Rightarrow $ x $ \\in$ {-101; -100; -99; ...; 99; 100}<br\/> T\u1ed5ng c\u1ee7a c\u00e1c s\u1ed1 nguy\u00ean x l\u00e0:<br\/>$\\begin{align*}& (-101) + (-100) + (-99) + ... + 99 + 100\\\\&= (-101) + [(-100) + 100] + [(-99) + 99] + ... + 0 \\\\&= (-101) + 0 + 0 + ... + 0\\\\&= -101 \\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> B. -101<\/span><\/span><\/span> <br\/>","column":2}]}],"id_ques":1086},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" V\u1edbi s\u1ed1 nguy\u00ean n\u00e0o c\u1ee7a a th\u00ec: a < -a ","select":["A. a > 0","B. a < 0 ","C. a = 0","D. T\u1ea5t c\u1ea3 c\u00e1c \u0111\u00e1p \u00e1n tr\u00ean \u0111\u1ec1u sai"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3:<br\/>N\u1ebfu a > 0 suy ra a l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng v\u00e0 -a l\u00e0 s\u1ed1 nguy\u00ean \u00e2m, n\u00ean a > -a<br\/>N\u1ebfu a < 0 suy ra a l\u00e0 s\u1ed1 nguy\u00ean \u00e2m v\u00e0 -a l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng, n\u00ean a < -a<br\/>N\u1ebfu a = 0 th\u00ec a = -a = 0<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'>B. a < 0<\/span><br\/><\/span> <br\/><\/span>","column":2}]}],"id_ques":1087},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" T\u00ednh t\u1ed5ng c\u00e1c s\u1ed1 nguy\u00ean x, bi\u1ebft: |x| < 50 ","select":["A. -100","B. -101 ","C. 0","D. 99"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>B\u01b0\u1edbc 1: T\u00ecm c\u00e1c s\u1ed1 nguy\u00ean x th\u1ecfa m\u00e3n |x| < 50 <br\/>B\u01b0\u1edbc 2: T\u00ednh t\u1ed5ng c\u00e1c s\u1ed1 nguy\u00ean x v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c \u1edf b\u01b0\u1edbc 1<br\/><b>L\u01b0u \u00fd: <\/b> <i>Hai s\u1ed1 nguy\u00ean \u0111\u1ed1i nhau c\u00f3 t\u1ed5ng b\u1eb1ng 0<\/i><\/span> <br\/><br\/><span class='basic_left'> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: |x| < 50<br\/> $\\Rightarrow $ -50 < x < 50<br\/>$\\Rightarrow $ x $ \\in$ {-49; -48; ...; 48; 49}<br\/> T\u1ed5ng c\u1ee7a c\u00e1c s\u1ed1 nguy\u00ean x l\u00e0:<br\/>$\\begin{align*}& (-49) + (-48) + ... + 48 + 49\\\\&= [(-49) + 49] + [(-48) + 48] + ... + 0 \\\\&= 0 + 0 + ... + 0\\\\&= 0 \\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> C. 0<\/span><\/span><\/span> <br\/>","column":2}]}],"id_ques":1088},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p t\u00ednh (-514) + 3816 - 486 - 216 l\u00e0:","select":["A. 1600","B. -1600","C. 2600","D. -2600"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> \u00c1p d\u1ee5ng t\u00ednh ch\u1ea5t giao ho\u00e1n, t\u00ednh ch\u1ea5t k\u1ebft h\u1ee3p c\u1ee7a c\u00e1c s\u1ed1 nguy\u00ean \u0111\u1ec3 t\u00ednh cho h\u1ee3p l\u00fd. <\/b><\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}& (-514) + 3816 - 486 - 216\\\\&= (-514) + 3816 + (-486) + (-216)\\\\&= [-(514 + 486)] + [3816 + (-216)]\\\\&= -1000 + (3816 - 216)\\\\&= -1000 + 3600\\\\&= 2600\\end{align*}$<\/b><br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> C. 2600<\/span><\/span> <br\/>","column":2}]}],"id_ques":1089},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":" T\u00ecm s\u1ed1 nguy\u00ean a, bi\u1ebft: |a| = |-28|","select":["A. a = 28 ho\u1eb7c a = -28","B. a = 28","C. a = -28"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u01b0\u1edbc 1: T\u00ednh |-28|<br\/>B\u01b0\u1edbc 2: T\u00ecm a<br\/>(<i><b>L\u01b0u \u00fd:<\/b> Kho\u1ea3ng c\u00e1ch t\u1eeb \u0111i\u1ec3m a \u0111\u1ebfn \u0111i\u1ec3m 0 tr\u00ean tr\u1ee5c s\u1ed1 l\u00e0 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a s\u1ed1 nguy\u00ean a<\/i>)<\/b><\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>|a| = |-28| <br\/>N\u00ean |a| = 28<br\/>$\\Rightarrow$ a = 28 ho\u1eb7c a = -28 <br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A. a = 28; a = -28<\/span><\/span> <br\/>","column":3}]}],"id_ques":1090}],"lesson":{"save":0,"level":3}}