Tính:
a ) 19 6 − 2 6 ; b ) − 3 5 − 5 6 ; c ) − 5 9 − − 5 12 d ) 9 36 − 7 − 35 ; e ) 5 − 4 3 ; f ) − 11 12 − ( − 1 )
Tính (tính nhanh nếu có thể):
a) \(\dfrac{-13}{4}+\dfrac{19}{12}+\dfrac{5}{6}\)
b) \(\dfrac{7.6^{10}.2^{20}.3^6-2^{19}.6^{15}}{9.6^{19}.2^9-4.3^{17}.2^{26}}\)
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a: \(=\dfrac{-39+19+10}{12}=\dfrac{-10}{12}=\dfrac{-5}{6}\)
b: \(=\dfrac{2^{30}\cdot3^{16}\cdot7-2^{34}\cdot3^{15}}{2^{28}\cdot3^{21}-2^{28}\cdot3^{17}}\)
\(=\dfrac{2^{30}\cdot3^{15}\left(3\cdot7-2^4\right)}{2^{28}\cdot3^{17}\left(3^4-1\right)}=\dfrac{2^2}{3^2}\cdot\dfrac{21-16}{80}=\dfrac{4}{9}\cdot\dfrac{5}{80}\)
\(=\dfrac{20}{720}=\dfrac{1}{36}\)
1 .Tính.
a,3/4 +5/2 b,3+6/11 c,2-5/7 d,11/3-2
Lưu ý tính rõ ra
2.Tính thuận tiện
a,13/19+18/19+17/19 b,3/5+3/16+13+16
Tính rõ ra
3.chu vi hình chữ nhật là 4 m chiều dài là 5/6 .Tính chiều rộng
1.
\(a,\dfrac{3}{4}+\dfrac{5}{2}=\dfrac{3}{4}+\dfrac{10}{4}=\dfrac{13}{4}\)
\(b,3+\dfrac{6}{11}+\dfrac{33}{11}+\dfrac{6}{11}=\dfrac{39}{11}\)
\(c,2-\dfrac{5}{7}=\dfrac{14}{7}-\dfrac{5}{7}=\dfrac{9}{7}\)
\(\dfrac{11}{3}-2=\dfrac{11}{3}-\dfrac{6}{3}=\dfrac{5}{3}\)
2.
\(a,\dfrac{13}{19}+\dfrac{18}{19}+\dfrac{17}{19}=\dfrac{13}{19}+\dfrac{17}{19}+\dfrac{18}{19}=\dfrac{30}{19}+\dfrac{18}{19}=\dfrac{48}{19}\)
\(b,\dfrac{3}{5}+\dfrac{3}{16}+13+16=\dfrac{63}{80}+29=\dfrac{2383}{80}\)
3.
Nửa chu vi :
\(4:2=2\left(m\right)\)
Chiều rộng :
\(2-\dfrac{5}{6}=\dfrac{7}{6}\left(m\right)\)
1)
a) 3/4+10/4= 13/4
b) 3/1+6/11= 33/11+6/11= 39/11
c) 2/1-5/7= 14/7-5/7= 9/7
d) 11/3-2/1= 11/3-6/3= 5/3
3) Nữa chu vi là
4:2= 2 (m)
Chiều rộng là
2-5/6= 7/6(m)
\(1,\\ a,\dfrac{3}{4}+\dfrac{5}{2}=\dfrac{3}{4}+\dfrac{10}{4}=\dfrac{13}{4}\\ b,3+\dfrac{6}{11}=\dfrac{33}{11}+\dfrac{6}{11}=\dfrac{39}{11}\\ c,2-\dfrac{5}{7}=\dfrac{14}{7}-\dfrac{5}{7}=\dfrac{9}{7}\\ d,\dfrac{11}{3}-2=\dfrac{11}{3}-\dfrac{6}{3}=\dfrac{5}{3}\\ 2,\\ a,\dfrac{13}{19}+\dfrac{18}{19}+\dfrac{17}{19}=\dfrac{13+18+17}{19}=\dfrac{48}{49}\\ b,\dfrac{3}{5}+\dfrac{3}{16}+13+16=\dfrac{48}{80}+\dfrac{15}{80}+\dfrac{1040}{80}+\dfrac{1280}{80}=\dfrac{2383}{80}\)
3, Chiều rộng hcn là:
`4:2- 5/6= 7/6`(m)
Đáp số: `7/6`m
Tính một cách hợp lý :
a, 64 . 16 + 81 . 84 + 17. 16 ;
b, 32 . 19 + 8 . 4 ;
c. 2 . 19 . 6 + 3.37 . 4 + 44 . 2 . 6 ;
d, 1 + 5 + 9 + ... + 81
a,=16.(64+17)+81.84
=16.81+81.84
=81(16+84)
=81.100=8100
b,=32.19+32
=32.(19+1)
=32.20=640
c,=12.19+12.37+44.12
=12.(19+37+44)
=12.100=1200
d, Khoảng cách là:
5-1=4;9-5=4
Số số hạng là:
(81-1):4+1=21(số)
Tổng dãy số là:
(81+1).21:2=861
a
\(\text{=16.(64+17)+81.84}\)
\(\text{=16.81+81.84}\)
\(\text{ =81.(16+84)}\)
\(\text{=81.100=8100}\)
b
\(\text{=32.19+32}\)
\(\text{ =32.(19+1)}\)
\(\text{ =32.20=640}\)
c
\(\text{=12.19+12.37+44.12}\)
\(\text{ =12.(19+37+44)}\)
\(\text{ =12.100}\)
\(=1200\)
d
Có tất cả số hạng là
\(\text{( 81 - 1 ) : 4 + 1 = 21 (số )}\)
Tổng là
\(\text{( 81 + 1 ) x 21 : 2 = 861}\)
A = 6/19 x -7/11 + 6/19 x -4/11 + -13/19 kèm tính kỉ càng từng phép
A = 6/19 x -7/11 + 6/19 x -4/11 + -13/19
A = (6/19 x -7/11 + 6/19 x -4/11) + -13/19
A = (6/19 x (-7/11 + -4/11)) + -13/19
A = (6/19 x -11/11) + -13/19
A = (6/19 x -1) + -13/19
A = -6/19 + -13/19
A = -19/19
A = -1
1 Tính
a.11/4×(-0,4)×-1,6×11/4
b.6/19×-7/11+6/19×-4/19×-4/11+13/19
c.2/5×3/7+-3/7×3/5+3/7
d.2/3×5+2×5/7+2/7×9+...+2/97×99
d)\(\frac{2}{3.5}+\frac{2}{5.7}+....+\frac{2}{97.99}\)
\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+....+\frac{1}{97}-\frac{1}{99}\)
\(=\frac{1}{3}-\frac{1}{99}\)
\(=\frac{32}{99}\)
a) 11/4x(-0,4)x-1,6x11/4
= -1,1 x-1,6x11/4
= 1,76x11/4
= 4,48
b) 6/19x-7/11+6/19x-4/19x-4/11+13/19
= -42/209+96/3971+13/19
= -702/3971+13/19
= 2015/3971
c) 2/5x3/7+-3/7x3/5+3/7
= 3/7x(2/5+3/5+1)
= 3/7x(1+1)
= 3/7x2
= 6/7
d) 2/3x5+2x5/7+2/7x9+....+2/97x99
= 1/3-1/5+1/5-1/7+1/7-1/9+......+1/97-1/99
= 1/3-1/99
= 32/99
d)=1/3-1/5+1/5-1/7+....+1/97-1/99
=1/3-1/99
=32/99
Tính A bằng cách thuận tiện nhất:
A=6/5x7+6/7x9=6/9x11+...+6/95x97+6/97x99
A=1/2+5/6+11/12+19/20+29/30+41/42+55/56
Ta có: A = \(\frac{6}{5\times7}+\frac{6}{7\times9}+\frac{6}{9\times11}+...+\frac{6}{95\times97}+\frac{6}{97\times99}\)
\(\Rightarrow A=\frac{1}{6}\left(\frac{1}{5\times7}+\frac{1}{7\times9}+\frac{1}{9\times11}+...+\frac{1}{95\times97}+\frac{1}{97\times99}\right)\)
\(\Rightarrow A=\frac{1}{6}\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+...+\frac{1}{95}-\frac{1}{97}+\frac{1}{97}-\frac{1}{99}\right)\)
\(\Rightarrow A=\frac{1}{6}\left(\frac{1}{5}-\frac{1}{99}\right)\)
=> A = ...
\(\frac{1}{2}+\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+...+\frac{89}{90}\)
\(=1-\frac{1}{2}+1-\frac{1}{6}+1-\frac{1}{12}+1-\frac{1}{20}+...+1-\frac{1}{90}\)
\(=9-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\right)\)
\(=9-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)\)
\(=9-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{9}-\frac{1}{10}\right)\)
\(=9-\left(1-\frac{1}{10}\right)\)
\(=9-\frac{9}{10}=\frac{81}{10}\)
A = 2+6-8+11-9+18-7-6+4-12-19-15
Tính bằng 10 cách
bn cho mk bt 5 cach mk cho bn bt ca 15 cach luon
tính
a 13.9+129-39+71
b (2^19.83-2^19.13+60.2^19):2^18
c) (5.4^15 .9^9 -4.3^20.8^9 ): ( 5.2^9 .6^19 -7.2^29 .27^6)
a, 13.9+129-39+71
=117+129-39+71
=246-39+71
=207+71
=278
b, (2^19.83-2^19.13+60.2^19):2^18=260
c, (5.4^15.9^9-4.3^20.8^9):(5.2^9.6^19-7..2^29.27^6)=3426338453
Mình có việc bận nên ko làm cụ thể nha. Sorry
1.tính nhanh (nếu có thể)
a)29.(19-13)-19.(29-13)
b)31.(-18)+31.(-81)-31
c)(7.3-3):(-6)
d)72:[(-6).2+4)]
2 tính nhanh (nếu có thể)
a)(-12).47+(-12).52+(-12)
b)13.(23+22)-3.(17+28)
c)18-10:(-2)-7
d)99:[(-7).2+5)
a)29 . (19 – 13) – 19 . (29 – 13)
= 29 . 6 – 19 . 16
= 174 – 304
= –130.
b)31.(-18)+31.(-81)-31
= 31. [-18 + (-81) - 1 ]
= 31. (-100)
= -3100
c)(7.3-3):(-6)
(7.3-3):(-6)
= (21-3):(-6)
= 18 : (-6)
= 3
d)72:[(-6).2+4)]
= 72 : ( -12 + 4 )
= 72 : -8
= -9
Bài 2:
a)(-12).47+(-12).52+(-12)
= (-12).(47+52+1)
= -1200
b)13.(23+22)-3.(17+28)
13 . (23 + 22) - 3 . (17 + 28)
= 13 . 45 - 3 . 45
= ( 13 - 3 ) . 45
= 10 . 45
= 450
c)18-10:(-2)-7
= 18-5+7
= 13+7
= 20
d)99:[(-7).2+5)
= 99: (-7).7= - 99
1. Tính nhanh
a) 29 . (19 – 13) – 19 . (29 – 13)
= 29 . 6 – 19 . 16
= 174 – 304
= –130.
b) 31 . (-18) + 31 . (-81) - 31
= 31. [-18 + (-81) - 1 ]
= 31. (-100)
= -3100
c) (7 . 3 - 3) : (-6)
= (21 - 3) : (-6)
= 18 : (-6)
= 3
d) 72 : [(-6) . 2 + 4)]
= 72 : ( -12 + 4 )
= 72 : -8
= -9
2. Tính nhanh
a) (-12) . 47 + (-12) . 52 + (-12)
= (-12) . (47 + 52 + 1)
= (-12) . 100
= -1200
b) 13 . (23 + 22) - 3 . (17 + 28)
= 13 . 45 - 3 . 45
= (13 - 3) . 45
= 10 . 45
= 450
c) 18 - 10 : (-2) - 7
= 18-5+7
= 13+7
= 20
d) 99 : [(-7) . 2 + 5]
= 99 : -9
= -11
Bài 1 tính hợp lí
a) 2017.;1-2018)+2018.2017+(-1)*2017
b) 7/19 8/11+3/11:19/7-2/-19
c) (6 và 4/9+3 và 7/11)-5 và4/9
Bài 2 tìm x
a) 5/6-x=-5/12-1/-4
b) x-2 trên phần -5=6/7
c) 1/2.x-3/4.x=-5/6
1b)\(\frac{7}{19}x\frac{8}{11}+\frac{3}{11}:\frac{19}{7}-\frac{2}{-19}=\frac{7}{19}x\frac{8}{11}+\frac{3}{11}x\frac{7}{19}+\frac{2}{19}=\left(\frac{8}{11}+\frac{3}{11}\right)\frac{7}{19}+\frac{2}{19}=\frac{7}{19}+\frac{2}{19}=\frac{9}{19}\)
c)\(4\left(\frac{4}{9}+\frac{7}{11}-\frac{4}{9}\right)=4\frac{7}{11}\)
từ rồi làm tiếp
2)
a)\(\frac{5}{6}-x=-\frac{5}{12}-\frac{1}{-4}=-\frac{5}{12}+\frac{1}{4}=-\frac{5}{12}+\frac{3}{12}=-\frac{1}{6}.\)
\(x=\frac{5}{6}--\frac{1}{6}=\frac{5}{6}+\frac{1}{6}=1\)
b)\(\frac{x-2}{-5}=\frac{6}{7}\)
\(\frac{\left(x-2\right)\left(-7\right)}{35}=\frac{30}{35}\)
\(\Rightarrow\left(x-2\right)\left(-7\right)=30\)
c)\(\frac{1}{2}x-\frac{3}{4}x=-\frac{5}{6}\)
\(\left(\frac{1}{2}-\frac{3}{4}\right)x=-\frac{5}{6}\)
\(-\frac{1}{4}x=-\frac{5}{6}\)
\(x=\frac{20}{6}=\frac{10}{3}\)
vậy \(x=\frac{10}{3}\)