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a) \(\left(-17\right)\cdot32+17\cdot\left(-68\right)-17\)
\(=17\cdot\left(-32-68-1\right)\)
\(=17\cdot\left(-101\right)\)
\(=17\cdot\left(-100-1\right)\)
\(=-1700-17\)
\(=-1717\)
b) \(25\cdot\left(34-89\right)+25\cdot89\)
\(=25\cdot\left(34-89+89\right)\)
\(=25\cdot34\)
\(=850\)
c) \(-145\cdot\left(13-57\right)+57\cdot\left(10-145\right)\)
\(=-145\cdot13+145\cdot57+57\cdot10-145\cdot57\)
\(=-145\cdot\left(13+57\right)+57\cdot\left(145+10\right)\)
\(=-145\cdot70+57\cdot155\)
\(=-10150+8835\)
\(=-1315\)
`@` `\text {Ans}`
`\downarrow`
`a)`
\((- 17) . 32 + 17 . (- 68) – 17 \)
`= (-17). (32 + 68 + 1) `
`= (-17). 101`
`= -1717`
`b)`
\(25 . (34 – 89) + 25 . 89\)
`= 25. (34 - 89 + 89)`
`= 25. 34`
`= 850`
`c)`
\(– 145. (13 – 57) + 57. (10 – 145)\)
`= (-145). 13 - (-145). 57 + 57.10 + 57. (-145)`
`= (-145). (13 - 57 + 57) + 57.10`
`= (-145). 13 + 570`
`= -1885 + 570 = -1315`
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a) \(3\cdot4\cdot25\cdot8\cdot125\)
\(=\left(125\cdot8\right)\cdot\left(4\cdot25\right)\cdot3\)
\(=1000\cdot100\cdot3\)
\(=300000\)
b) \(36\cdot63+64\cdot663\)
\(=63\cdot\left(36+64\right)\)
\(=63\cdot100\)
\(=6300\)
c) \(45\cdot129+71\cdot129\)
\(=129\cdot\left(129+71\right)\)
\(=129\cdot200\)
\(=25800\)
d) \(26\cdot\left(43+57\right)+74\cdot\left(43+57\right)\)
\(=26\cdot100+74\cdot100\)
\(=2600+7400\)
\(=10100\)
a) 3.4.25.8.125
=3(4.25).(8.125)
=3.100.1000
300000
b) 36.63+ 64.63
=(36+64).63
=100.63
=6300
c) 45.129+ 71.45
=45.(129+71)
=45.200
=9000
d) 26. (43+ 57)+ 74(57 +43)
=26.43+26.57 + 74.57 + 74.43
=(26.43+74.43)+(26.57 + 74.57 )
= [43.(26+74)]+[ (26+74).57]
=[43.100]+[100.57]
=4300+5700
= 10000
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a, A= 1/5.6+1/6.7+1/7.8+...+1/24.25
=1/5-1/6+1/6-1/7+1/7-1/8+...+1/24-1/25
=1/5-1/25
=4/25
hok tốt k nha
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(A=49+\dfrac{8}{23}-14-\dfrac{8}{23}-5-\dfrac{7}{32}=30-\dfrac{7}{32}=\dfrac{953}{32}\)
b:
Sửa đề: \(B=71\dfrac{38}{45}-\left(43\dfrac{8}{45}-1\dfrac{17}{51}\right)\)
\(B=71+\dfrac{38}{45}-43-\dfrac{8}{45}+1+\dfrac{17}{51}\)
\(=71-43+1+1\)
=28+2=30
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(A=\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+...+\dfrac{1}{24}-\dfrac{1}{25}\)
\(=\dfrac{1}{5}-\dfrac{1}{25}=\dfrac{4}{25}\)
b: \(B=\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{8}-\dfrac{1}{19}+\dfrac{1}{19}-\dfrac{1}{32}+\dfrac{1}{32}-\dfrac{1}{57}+\dfrac{1}{57}-\dfrac{1}{87}\)
\(=\dfrac{2}{15}+\dfrac{1}{8}-\dfrac{1}{87}\)
=859/3480
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A = 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72
= 1/1.2 + 1/2.3 + 1/3.4 + 1/4.5 + 1/5.6 + 1/6.7 + 1/7.8 + 1/8.9
= 1- 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 + 1/7 - 1/8 + 1/8 - 1/9
= 1 - 1/9 = 8/9
Câu B, C dấu * là nhân hay công vậy?
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
a, 35 + 28 - 42 - 35 - 28
= (35 - 35) + (28 - 28) - 42
= -42
b, 55 +56 +57 +58 +59 -28 -26 -25 -29 -27
=(55-25)+(56-26)+(57-27)+(58-28)+(59-29)
= 30 + 30 + 30 + 30 + 30
= 150
Bài 2:
a, -1983 - (325 - 1983)
= -1983 - 325 + 1983
= -325
b, -549 + (321 + 549)
= -549 + 321 + 549
= 321
c, 54 - (-65 + 98 - 15)
= 54 + 65 - 98 + 15
= 36
d, (67 + 23) - (56 - 32 + 46)
= 67 + 23 - 56 + 32 - 46
= 20
e, 24 - [ 15 - (42 - 18) ]
= 24 - [ 15 - 42 + 18 ]
= 24 - (-9)
= 33
f, (63 - 21 + 84) - (49 - 36 + 87)
= 63 - 21 + 84 - 49 + 36 - 87
= 26
g, 284 - [ (214 - 168) - (865 - 987) ]
= 284 - [ 214 - 168 - 865 + 987 ]
= 284 - 168
= 116
h, 654 + [ (545 - 726) - (321 - 465) ]
= 654 + [ 545 - 726 - 321 + 465 ]
= 654 + (-37)
= 617
Chúc bạn học tốt !
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a) 4 ; 8 ; 16 ; 32 ; 64
b) 9 ; 27 ; 81 ; 243
c) 16 ; 64 ; 256
d) 25 ; 125
Chúc bạn học tốt!! ^^
a) \(2^2=4\)
\(2^3=8\)
\(2^4=16\)
\(2^5=32\)
\(2^6=64\)
b) \(3^2=3\)
\(3^3=27\)
\(3^4=81\)
\(3^5=243\)
c) \(4^2=16\)
\(4^3=64\)
\(4^4=256\)
d) \(5^2=25\)
\(5^3=125\)
a) (556+57):(549+1)=57(549+1):(549+1)=57