tính hợp lí
1/3+1/6+1/10+1/15+......+1/300
Bài 1: Bỏ ngoặc rồi tính
1) (15+37) + (52-37-17)
2) (38-42+14) - (25-27-15)
3) (21-32) - (-12+32)
4) (12+21) - (23-21+10)
5) (57-725) - (605-53)
6) (55+45+15) - (15-55+45)
Bài 2: Tính các tổng sau một cách hợp lí
1) (-37) + 14 + 26 + 37
2) (-24) +6 + 10 + 24
3) 15 + 23 + (-25) + (-23)
4) 60 + 33 + (-50) + (-33)
5) (-16) + (-209) + (-14) + 209
6) (-12) + (-13) + 36 + (-11)
Bài 1:
1: =15+37+52-37-17=52-2=50
2: =38-42+14-25+27+15=62-42+29=20+29=49
Bài 1: Bỏ ngoặc rồi tính
3) (21-32) - (-12+32)=21-32-(-12)-32=21-32+12-32=-31
4) (12+21) - (23-21+10)=12+21-23+21-10=21
5) (57-725) - (605-53)=57-725-605+53=-1220
6) (55+45+15) - (15-55+45)=55+45+15-15+55-45=55+55=110
Bài 2: Tính các tổng sau một cách hợp lí
1) (-37) + 14 + 26 + 37=(-37+37)+(14+26)=0+40=40
2) (-24) +6 + 10 + 24=(-24+24)+(6+10)=0+16=16
3) 15 + 23 + (-25) + (-23)=(15-25)+(23-23)=-10+0=-10
4) 60 + 33 + (-50) + (-33)=(60-50)+(33-33)=10+0=10
5) (-16) + (-209) + (-14) + 209=(-16-14)+(-209+209)=-30+0=-30
6) (-12) + (-13) + 36 + (-11)=(-11-12-13)+36=-36+36=0
=15+37+52-37-17 =(37-37)+52+15-17 =0+52+15-17 =67-17 =50
(38 – 42 + 14) – (25 – 27 – 15) =38-42+14-25+27+15 =27 c. -(21 – 32) – (-12 + 32) =-21+32+12-32 =-9 d. -(12 + 21 – 23) - (23 – 21 + 10) =-12-21+23-23+21-10 =-22 e. (57 – 725) – (605 – 53) =57-725-605+53 =-1220 f. (55 + 45 + 15) – (15 – 55 + 45) =55+45+15-15+55-45 =110
Bài 1: Thực hiện phép tính một cách hợp lí
1, A=(-5/9+5/12):(-10/3)+(-4/9+7/12)
2, B=1/1.4+1/6.2+1/7.10+.....+1/9.100
1: =(-20/36+15/36)*(-3/10)+(-16/36+21/36)
=-5/36*(-3/10)+5/36
=5/36*13/10
=65/360=13/72
2: Bạn xem lại đề nha bạn, dãy số này không có quy luật nào hết luôn á
1) -145.(13 - 57) + 57.(10 -145)
2) 17.(15 - 16) + 16.( 17- 20)
3) -38.(25 - 4) + 25.(-4 + 38 )
4) 23.(145 - 17) - 145.(23 - 6)
5) 24.(15 - 4) + 4.(24 - 15)
6) 199.(15 - 17) - 199.(-17 + 5)
7) -39.(5 - 99) + 99.(10 - 39)
1: \(=-145\cdot13+145\cdot57+57\cdot10-57\cdot145=-1315\)
2: \(=17\cdot15-17\cdot16+16\cdot17-16\cdot20=255-320=-65\)
3: \(=-38\cdot25+38\cdot4-25\cdot4+25\cdot38=13\cdot4=52\)
4: \(=23\cdot145-23\cdot17-145\cdot23+145\cdot6=479\)
5: \(=24\cdot15-24\cdot4+4\cdot24-4\cdot15=360-60=300\)
6: \(=199\left(15-17+17-5\right)=199\cdot10=1990\)
7: \(=-39\cdot5+39\cdot99+99\cdot10-99\cdot39=795\)
1: =−145⋅13+145⋅57+57⋅10−57⋅145=−1315=−145⋅13+145⋅57+57⋅10−57⋅145=−1315
2: =17⋅15−17⋅16+16⋅17−16⋅20=255−320=−65=17⋅15−17⋅16+16⋅17−16⋅20=255−320=−65
3: =−38⋅25+38⋅4−25⋅4+25⋅38=13⋅4=52=−38⋅25+38⋅4−25⋅4+25⋅38=13⋅4=52
4: =23⋅145−23⋅17−145⋅23+145⋅6=479=23⋅145−23⋅17−145⋅23+145⋅6=479
5: =24⋅15−24⋅4+4⋅24−4⋅15=360−60=300=24⋅15−24⋅4+4⋅24−4⋅15=360−60=300
6: =199(15−17+17−5)=199⋅10=1990=199(15−17+17−5)=199⋅10=1990
7: =−39⋅5+39⋅99+99⋅10−99⋅39=795
Tính:
S=1+1/3+1/6+1/10+1/15+1/21+...+1/300
S1/2=1/2+1/6+1/12+...+1/600
S1/2=1/1*2+1/2*3+....+1/24*25
S1/2=1-1/25
S1/2=24/25
S=48/25
Bài 1: Tính hợp lí
1. 8 - ( 2014 - 2008 ) + 2014
2. 5679 + ( 1357 - 5679 - 17
3. 1268 - ( 78 + 1268 ) - ( -78 )
4. 13567 - ( 15 - 27 )
5. - 48795 - ( 489 - 48795 ) + 400
6. 15641 - ( 27 + 15641 )
1. 8 - ( 2014 - 2008 ) + 2014
= 8-2014+2008+2014
= (8-2008)+(-2014+2014)
= -2000
2. 5679 + ( 1357 - 5679 - 17
= 5679+1357-5679-17
= 1340
3. 1268 - ( 78 + 1268 ) - ( -78 )
= 1268-78-1268+78
= 0
4. 13567 - ( 15 - 27 )
= 13567+12
= 13579
5. - 48795 - ( 489 - 48795 ) + 400
= -48795-489+48795+400
= (-48795+48795)+(-489+400)
= -89
6. 15641 - ( 27 + 15641 )
= 15641-27-15641
= -27
Tính \(C=-1-\frac{1}{3}-\frac{1}{6}-\frac{1}{10}-\frac{1}{15}-....-\frac{1}{300}\)
1.tính hợp lí nếu có thể
120-\(^{\left\{300:\left[40-\left(2.562-262.5\right)\right]+10\right\}}\)
263.3-(1610+15):462
6^2:4.3+2.562-201
2. tìm x
(x-140):5=3^3-2^3.3
[(5x+2):7-6].17=340
5+3^x=2.(4^2-3^2)
nhanh mik tick cho
phép 2 bài 1 đề là
2^3.3-(1^10+15):4^2
120 - { 300: [ 40 - (2.562 - 262.5)] + 10}
= 120 - { 300 : [ 40 - (-186)] + 10}
= 120 - {300 : 226 + 10}
= 120 - \(\dfrac{1280}{113}\)
= \(\dfrac{12280}{113}\)
23.3 - (110 + 15): 42
8.3 - 16:16
= 24 - 1
= 23
1+\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+\frac{1}{21}+...\frac{1}{300}\)
\(A=1+\frac{1}{3}+\frac{1}{6}+...+\frac{1}{300}\)
\(=2\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{600}\right)\)
\(=2\left(\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+...+\frac{1}{24\times25}\right)\)
\(=2\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{24}-\frac{1}{25}\right)\)
\(=2\left(1-\frac{1}{25}\right)=2\times\frac{24}{25}=\frac{48}{25}\)
Tính gia tri của biểu thức bằng 1 cách hợp lí A=1+2-3-4+5+6-7-8+9+10-11-12+...-299-300+301+302
A = 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + 10 - 11 - 12 + .........- 299 - 300 + 301 + 302
A = 1 + ( 2 - 3 - 4 + 5 ) + ( 6 - 7 -8 + 9 ) + ( 10 - 11 - 12 + 13 ) + ............- ( 298 - 299 - 300 + 301 ) + 302
A = 1 + 303
A = 303
A = 1+ 2 - 3 - 4 - 5 + 6 - 7 -8 + 9 +......+ 298 - 299 - 300 + 301 + 302
A = 1 + ( 2 - 3 - 4 + 5 ) + ( 6 - 7 - 8 + 9 ) + ......+ ( 298 - 299 - 300 + 301 ) + 302
A = 1 + ( 2 + 5 - 3 - 4 ) + ( 6 + 9 - 7 - 8 ) + .......+ ( 298 + 301 - 299 - 300) + 302
A = 1 + 0 + 0 + .......+ 0 + 302
A = 1 + 302
A = 303