Tính hợp lý
a) 8 19 + 4 21 + 2 5 + 17 21 + − 27 19
b) − 5 18 + 7 4 − − 2 3 + 5 6
Tính 21-20+19+18-17-16+15+14-13-12+10+9-8-7+...-5-4+3+2-1
Tính một cách hợp lý
a, 21- 22+ 23- 24
b, 125- ( 115- 99 )
\(a,21-22+23-24=-1+\left(-1\right)=-2\\ b,125-\left(115-99\right)=125-115+99=10+99=109\)
a) 21 - 22 + 23 - 24
= (21 + 23) + (-22 - 24)
= 44 - 46
= -2
b) 125 - (115 - 99)
= 125 - 115 + 99
= 10 + 99
= 109
Câu 1; Tính một cách hợp lý
a) 86 . 19 + 14 .19 b) 4. ( - 5 )2 - 104 . ( - 5 )2 c) 7 . ( - 2 ) . 8 . ( - 5 )
c) 59 - [ 59 + ( - 76 ) ]
Câu 2; tìm x biết;
a) x - 158 = 32 b) x . 24 = 264 c) 6x + 9 = 37 : 34
Câu 2:
a: x-158=32
=>x=158+32
=>x=190
b: \(x\cdot24=264\)
=>\(x=\dfrac{264}{24}\)
=>x=11
c: \(6x+9=3^7:3^4\)
=>\(6x+9=3^3\)
=>6x+9=27
=>6x=18
=>x=18/6=3
Câu 1:
a: \(86\cdot19+14\cdot19\)
\(=19\left(86+14\right)\)
\(=19\cdot100=1900\)
b: \(4\cdot\left(-5\right)^2-104\cdot\left(-5\right)^2\)
\(=4\cdot25-104\cdot25\)
\(=25\left(4-104\right)=-100\cdot25=-2500\)
c: \(7\cdot\left(-2\right)\cdot8\left(-5\right)\)
\(=7\cdot2\cdot8\cdot5\)
\(=56\cdot10=560\)
d: \(59-\left[59+\left(-76\right)\right]\)
\(=59-59+76\)
=76
tính hợp lý
a, A = \(\dfrac{1-\dfrac{1}{\sqrt{49}}+\dfrac{1}{49}-\dfrac{1}{\left(7\sqrt{7}\right)^2}}{\dfrac{\sqrt{64}}{2}-\dfrac{4}{7}+\left(\dfrac{2}{7}\right)^2-\dfrac{4}{343}}\)
b, M = 1 - \(\dfrac{5}{\sqrt{196}}\) - \(\dfrac{5}{\left(2\sqrt{21}\right)^2}\) - \(\dfrac{\sqrt{25}}{204}\) - \(\dfrac{\left(\sqrt{5}\right)^2}{374}\)
a: \(A=\dfrac{1-\dfrac{1}{\sqrt{49}}+\dfrac{1}{49}-\dfrac{1}{\left(7\sqrt{7}\right)^2}}{\dfrac{\sqrt{64}}{2}-\dfrac{4}{7}+\left(\dfrac{2}{7}\right)^2-\dfrac{4}{343}}\)
\(=\dfrac{1-\dfrac{1}{7}+\dfrac{1}{49}-\dfrac{1}{343}}{4-\dfrac{4}{7}+\dfrac{4}{49}-\dfrac{4}{343}}\)
\(=\dfrac{1-\dfrac{1}{7}+\dfrac{1}{49}-\dfrac{1}{343}}{4\left(1-\dfrac{1}{7}+\dfrac{1}{49}-\dfrac{1}{343}\right)}=\dfrac{1}{4}\)
b: \(M=1-\dfrac{5}{\sqrt{196}}-\dfrac{5}{\left(2\sqrt{21}\right)^2}-\dfrac{\sqrt{25}}{204}-\dfrac{\left(\sqrt{5}\right)^2}{374}\)
\(=1-\dfrac{5}{14}-\dfrac{5}{84}-\dfrac{5}{204}-\dfrac{5}{374}\)
\(=1-5\left(\dfrac{1}{14}+\dfrac{1}{84}+\dfrac{1}{204}+\dfrac{1}{374}\right)\)
\(=1-5\left(\dfrac{1}{2\cdot7}+\dfrac{1}{7\cdot12}+\dfrac{1}{12\cdot17}+\dfrac{1}{17\cdot22}\right)\)
\(=1-\left(\dfrac{5}{2\cdot7}+\dfrac{5}{7\cdot12}+\dfrac{5}{12\cdot17}+\dfrac{5}{17\cdot22}\right)\)
\(=1-\left(\dfrac{1}{2}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{12}+\dfrac{1}{12}-\dfrac{1}{17}+\dfrac{1}{17}-\dfrac{1}{22}\right)\)
\(=1-\left(\dfrac{1}{2}-\dfrac{1}{22}\right)\)
\(=1-\dfrac{11-1}{22}=1-\dfrac{10}{22}=\dfrac{12}{22}=\dfrac{6}{11}\)
a,9/4-[-11}/-4
b, 7/8-3/-8-1/8
c,-5/21-25/21-[-1]/21
d, 18/24-35/-10
e, 3/7-11/14-19/28
g, 5/-{-2}/3-1/12
h, 3/17-{-5}/13-{-18}/35-14/17-17/{-35}-{-8}/13
a; \(\dfrac{9}{4}\) - \(\dfrac{-11}{4}\)
= \(\dfrac{9}{4}\) + \(\dfrac{11}{4}\)
= \(\dfrac{20}{4}\)
= 5
b; \(\dfrac{7}{8}\) - \(\dfrac{3}{-8}\) - \(\dfrac{1}{8}\)
= \(\dfrac{7}{8}\) + \(\dfrac{3}{8}\) - \(\dfrac{1}{8}\)
= \(\dfrac{7+3-1}{8}\)
= \(\dfrac{9}{8}\)
c; \(\dfrac{-5}{21}\) - \(\dfrac{25}{21}\) - \(\dfrac{-1}{21}\)
= \(\dfrac{-5}{21}\) - \(\dfrac{25}{21}\) + \(\dfrac{1}{21}\)
= \(\dfrac{-5-25+1}{21}\)
= \(\dfrac{-29}{21}\)
Tính:1-2+3-4+5-6+7-8+9-10+11-12+13-14+15-16+17-18+19-20+21
1-2+3-4+5-6+7-8+9-10+11-12+13-14+15-16+17-18+19-20+21 = 11
1-2+3-4+.............+19-20+21
=(1-2)+(3-4)+...........+(19-20)+21
=(-1)+(-1)+............+(-1)+21{có 10 số -1)
=(-1).10+21
=(-10)+21
=11
1/21 ; 2/21 ; 3/21 ; 4/21 ; 5/21 ; … ; 17/21 ; 18/21 ; 19/21 ; 20/21
6/21; 7/21; 8/21; 9/21; 10/21; 11/21; 12/21; 13/21; 14/21; 15/21; 16/21
1/21 ; 2/21 ; 3/21 ; 4/21 ; 5/21 ; … ; 17/21 ; 18/21 ; 19/21 ; 20/21
Bạn cần làm gì với những phân số này?
1/21 ; 2/21 ; 3/21 ; 4/21 ; 5/21 ; … ; 17/21 ; 18/21 ; 19/21 ; 20/21
6/21; 7/21; 8/21; 9/21; 10/21; 11/21; 12/21; 13/21; 14/21; 15/21; 16/21
1/21+2/21+3/21+4/21+5/21+…+17/21+18/21+19/21+20/21
\(\dfrac{1}{21}+\dfrac{2}{21}+\dfrac{3}{21}+\dfrac{4}{21}+\dfrac{5}{21}+...+\dfrac{17}{21}+\dfrac{18}{21}+\dfrac{19}{21}+\dfrac{20}{21}\)
\(=\dfrac{1+2+3+4+5+...+17+18+19+20}{21}\)
\(=\dfrac{1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20}{21}\)
\(=\dfrac{210}{21}\)
\(=10\)
ai làm giúp mình vs ạ mình đang cần gấp