{"segment":[{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai21/lv3/img\/4.jpg'\/><\/center> T\u1ed5ng c\u1ee7a 91025 v\u00e0 (-84215) l\u00e0: ","select":["A. 6710","B. -6710 ","C. 6810","D. -6810"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>T\u1ed5ng t\u1ee9c l\u00e0 th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh c\u1ed9ng.<\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>T\u1ed5ng c\u1ee7a 91025 v\u00e0 (-84215) l\u00e0:<br\/> $\\begin{align*}91025 + (-84215)&= (91025 - 84215) \\\\&= 6810\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> C. 6810<\/span><\/span> <br\/>","column":2}]}],"id_ques":1031},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai21/lv3/img\/4.jpg'\/><\/center> T\u1ed5ng c\u1ee7a (-5210) v\u00e0 374 c\u1ed9ng (-2471) \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 l\u00e0: ","select":["A. -7307","B. 7307 ","C. 8055","D. -8055"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>T\u1ed5ng t\u1ee9c l\u00e0 th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh c\u1ed9ng.<\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>T\u1ed5ng c\u1ee7a (-5210) v\u00e0 374 c\u1ed9ng (-2471) \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 l\u00e0:<br\/> $\\begin{align*}(-5210) + 374 + (-2471)&= - (5210 - 374) + (-2471) \\\\&= (-4836) + (-2471)\\\\&= - (4836 + 2471)\\\\&= -7307\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A. -7307<\/span><\/span> <br\/>","column":2}]}],"id_ques":1032},{"time":24,"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 t\u1ed5ng c\u00e1c s\u1ed1 nguy\u00ean x, bi\u1ebft: -100 $\\le$ x < 101 ","select":["A. 0","B. 100 ","C. -100","D. 101"],"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-100 $\\le$ x < 101<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: -100 $\\le$ x < 101 $\\Rightarrow $ x $ \\in$ { -100; -99; -98; ...; 98; 99; 100}<br\/> T\u1ed5ng c\u1ee7a c\u00e1c s\u1ed1 nguy\u00ean x l\u00e0:<br\/>$\\begin{align*}&(-100) + (-99) + (-98) + ... + 98 + 99 + 100 \\\\&= [(-100) + 100] + [(-99) + 99] + [(-98) + 98] +...+ 0 \\\\&= 0 + 0 + 0 +...+ 0\\\\&= 0\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A. 0<\/span><\/span><\/span> <br\/>","column":2}]}],"id_ques":1033},{"time":24,"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: -99 $\\le$ x $\\le$ 105 ","select":["A. 0","B. 100 ","C. 615","D. 510"],"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 -99 $\\le$ x $\\le$ 105<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: -99 $\\le$ x $\\le$ 105 $\\Rightarrow $ x $ \\in$ { -99; -98; ; ...; 98; 99; 100; 101; 102; 103; 104; 105}<br\/> T\u1ed5ng c\u1ee7a c\u00e1c s\u1ed1 nguy\u00ean x l\u00e0:<br\/>$\\begin{align*}&(-99) + (-98) + ... + 98 + 99 + 100 + 101 + 102 + 103 + 104 + 105 \\\\&= [(-99) + 99] + [(-98) + 98] +...+ 0 + 100 + 101 + 102 + 103 + 104 + 105 \\\\&= 0 + 0 + 0 +...+ 0 + 100 + 101 + 102 + 103 + 104 + 105 \\\\&= 615\\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> C. 615<\/span><\/span><\/span> <br\/>","column":2}]}],"id_ques":1034},{"time":14,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-13","- 13"," -13"],["-16"," -16","- 16"," - 16"],["-19","- 19"," -19"," - 19"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"\u0110i\u1ec1n ba s\u1ed1 ti\u1ebfp theo v\u00e0o d\u00e3y:<br\/>-1; -4; -7; -10; _input_; _input_; _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>T\u00ecm quy lu\u1eadt c\u1ee7a d\u00e3y t\u00ednh, sau \u0111\u00f3 d\u1ef1a v\u00e0o quy lu\u1eadt \u0111\u00f3 \u0111\u1ec3 t\u00ecm c\u00e1c s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng.<\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta th\u1ea5y:<br\/>(-1) +<b> (-3)<\/b> = -4<br\/>(-4) + <b> (-3)<\/b> = -7<br\/>(-7) + <b> (-3)<\/b> = -10<br\/> N\u00ean d\u00e3y s\u1ed1 \u0111\u00e3 cho l\u00e0 d\u00e3y s\u1ed1 t\u0103ng \u0111\u1ec1u (-3) \u0111\u01a1n v\u1ecb<br\/> M\u00e0 (-10) + <b>(-3)<\/b> = -13<br\/>(-13) + <b>(-3)<\/b> = -16<br\/>(-16) + <b>(-3)<\/b> = -19<br\/>Ta \u0111\u01b0\u1ee3c d\u00e3y s\u1ed1: -1; -4; -7; -10; <b>-13<\/b>; <b>-16<\/b>; <b>-19<\/b><br\/>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u1ea7n l\u01b0\u1ee3t t\u1eeb tr\u00e1i qua ph\u1ea3i l\u00e0: <span class='basic_pink'> -13; -16; -19<\/span><\/span> <br\/> "}]}],"id_ques":1035},{"time":24,"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 x, bi\u1ebft:<br\/>x - 912 = (-1705) + 125 ","select":["x = 667","x = - 667","x = -668","x = 668"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>B\u01b0\u1edbc 1: T\u00ednh k\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p t\u00ednh b\u00ean v\u1ebf ph\u1ea3i<br\/>B\u01b0\u1edbc 2: T\u00ecm x,<i> ( x \u1edf v\u1ecb tr\u00ed l\u00e0 s\u1ed1 b\u1ecb tr\u1eeb )<\/i><br\/><b> S\u1ed1 b\u1ecb tr\u1eeb = Hi\u1ec7u + S\u1ed1 tr\u1eeb <br\/>(<b>L\u01b0u \u00fd:<\/b><i> Mu\u1ed1n c\u1ed9ng hai s\u1ed1 nguy\u00ean kh\u00e1c d\u1ea5u kh\u00f4ng \u0111\u1ed1i nhau, ta t\u00ecm hi\u1ec7u hai gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a ch\u00fang ( s\u1ed1 l\u1edbn tr\u1eeb s\u1ed1 nh\u1ecf) r\u1ed3i \u0111\u1eb7t tr\u01b0\u1edbc k\u1ebft qu\u1ea3 t\u00ecm \u0111\u01b0\u1ee3c d\u1ea5u c\u1ee7a s\u1ed1 c\u00f3 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i l\u1edbn h\u01a1n<\/i>)<\/b><\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}x - 912 &= (-1705) + 125 \\\\x - 912&= - (1705 - 125)\\\\x - 912&= - 1580\\\\x&= (-1580) + 912\\\\x&= - (1580 - 912)\\\\x&= -668 \\end{align*}$<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> x = -668<\/span><\/span> <br\/>","column":2}]}],"id_ques":1036},{"time":14,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["60"," 60"," 60"," 60 ","+60","+ 60"," +60"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"T\u00ednh nh\u1ea9m:<br\/>215 + 43 + (-215) + 17 = _input_","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Nh\u00f3m c\u00e1c s\u1ed1 \u0111\u1ed1i nhau hay c\u00e1c s\u1ed1 c\u00f3 t\u1ed5ng b\u1eb1ng tr\u00f2n tr\u1ee5c, tr\u00f2n tr\u0103m, tr\u00f2n ngh\u00ecn... v\u1edbi nhau \u0111\u1ec3 t\u00ednh nhanh<br\/><b>L\u01b0u \u00fd:<i> Hai s\u1ed1 nguy\u00ean \u0111\u1ed1i nhau c\u00f3 t\u1ed5ng b\u1eb1ng 0.<\/i><\/b><\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}&215 + 43 + (-215) + 17\\\\&= [(-215) + 215] + (43 + 17) \\\\&= 0 + 60\\\\&= 60 \\end{align*}$<\/span> <br\/>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0: <span class='basic_pink'> 60<\/span> "}]}],"id_ques":1037},{"time":14,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["0"," 0"," 0"," 0 "," 0 "]]],"list":[{"point":10,"width":60,"type_input":"","ques":"T\u1ed5ng c\u00e1c s\u1ed1 nguy\u00ean c\u00f3 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i nh\u1ecf h\u01a1n 50 l\u00e0: _input_","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 c\u00f3 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i nh\u1ecf h\u01a1n 50<br\/>B\u01b0\u1edbc 2: T\u00ednh t\u1ed5ng c\u00e1c s\u1ed1 v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c \u1edf b\u01b0\u1edbc 1<br\/><b>L\u01b0u \u00fd:<i> Hai s\u1ed1 nguy\u00ean \u0111\u1ed1i nhau c\u00f3 t\u1ed5ng b\u1eb1ng 0.<\/i><\/b><\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>C\u00e1c s\u1ed1 nguy\u00ean c\u00f3 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i nh\u1ecf h\u01a1n 50 l\u00e0:<br\/> -49; -48; -47; ... ; 47; 48; 49<br\/>T\u1ed5ng c\u00e1c s\u1ed1 nguy\u00ean c\u00f3 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i nh\u1ecf h\u01a1n 50 l\u00e0:<br\/>$\\begin{align*}&(-49) + (-48) + (-47) + ... + 47 + 48 + 49\\\\&= [(-49) + 49] + [(-48) + 48] + [(-47) + 47] + ... + 0 \\\\&= 0 + 0 + 0 + ... + 0\\\\&= 0 \\end{align*}$<\/span> <br\/>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0: <span class='basic_pink'> 0<\/span> "}]}],"id_ques":1038},{"time":14,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["100"," 100"," 100"," 100 ","+100","+ 100"," +100"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"T\u00ednh nh\u1ea9m:<br\/>329 + 64 + (-329) + 36 = _input_","hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Nh\u00f3m c\u00e1c s\u1ed1 \u0111\u1ed1i nhau hay c\u00e1c s\u1ed1 c\u00f3 t\u1ed5ng b\u1eb1ng tr\u00f2n tr\u1ee5c, tr\u00f2n tr\u0103m, tr\u00f2n ngh\u00ecn... v\u1edbi nhau \u0111\u1ec3 t\u00ednh nhanh<br\/><b>L\u01b0u \u00fd:<i> Hai s\u1ed1 nguy\u00ean \u0111\u1ed1i nhau c\u00f3 t\u1ed5ng b\u1eb1ng 0.<\/i><\/b><\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>$\\begin{align*}&329 + 64 + (-329) + 36\\\\&= [(-329) + 329] + (64 + 36) \\\\&= 0 + 100\\\\&= 100 \\end{align*}$<\/span> <br\/>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng l\u00e0: <span class='basic_pink'> 100<\/span> "}]}],"id_ques":1039},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":" Cho a $\\in$ N, b l\u00e0 s\u1ed1 nguy\u00ean \u00e2m. Khi n\u00e0o th\u00ec t\u1ed5ng a + b l\u00e0 s\u1ed1 nguy\u00ean \u00e2m? ","select":["b > a","a > b","|b| > |a|","|a| > |b|"],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: a $\\in$ N t\u1ee9c l\u00e0 a l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng<br\/>M\u00e0 b l\u00e0 s\u1ed1 nguy\u00ean \u00e2m<br\/>L\u1ea1i c\u00f3: Mu\u1ed1n c\u1ed9ng hai s\u1ed1 nguy\u00ean kh\u00e1c d\u1ea5u kh\u00f4ng \u0111\u1ed1i nhau, ta t\u00ecm hi\u1ec7u hai gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a ch\u00fang (s\u1ed1 l\u1edbn tr\u1eeb s\u1ed1 nh\u1ecf) r\u1ed3i <b>\u0111\u1eb7t tr\u01b0\u1edbc k\u1ebft qu\u1ea3 t\u00ecm \u0111\u01b0\u1ee3c d\u1ea5u c\u1ee7a s\u1ed1 c\u00f3 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i l\u1edbn h\u01a1n<\/b><br\/>V\u00ec th\u1ebf t\u1ed5ng a + b l\u00e0 s\u1ed1 nguy\u00ean \u00e2m t\u1ee9c l\u00e0 t\u1ed5ng \u0111\u00f3 c\u00f9ng d\u1ea5u v\u1edbi b ( s\u1ed1 c\u00f3 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i l\u1edbn h\u01a1n)<br\/>Hay <b>|b| > |a|<\/b><br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> |b| > |a|<\/span><\/span> <br\/>","column":2}]}],"id_ques":1040}],"lesson":{"save":0,"level":3}}