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a. (21 - 1) x (21 - 2) x (21 - 3) x ... x (21 - 21)
= 20 x 19 x 18 x ... x 0
= 0
b. 3 x 27 x 8 + 4 x 35 x 6 + 2 x 38 x 12
= (3 x 8) x 27 + (4 x 6) x 35 + (2 x 12) x 38
= 24 x 27 + 24 x 35 + 24 x 38
= 24 x (27 + 35 + 38)
= 24 x100
= 2400
c. A = (1001 + 1002 + 1003 +... + 2009) x (360 x 87 - 360 x 32 - 360 x 55)
= (1001 + 1002 + 1003 + ... + 2009) x [360 x (87 - 32 - 55)]
= (1001 + 1002 + 1003 + ... + 2009) x (360 x 0)
= (1001 + 1002 + 1003 + ... + 2009) x 0
= 0
2 . 17 . 12 + 4. 6 . 21 + 8 . 3 . 62
= ( 2. 12 ) . 17 + ( 4 . 6 ) . 21 + ( 8 . 3 ) . 62
= 24 . 17 + 24 . 21 + 24 .62
= 24. ( 17 + 21 + 62 )
= 24 . 100
= 2400
37 . 24 + 37 . 76 + 63 . 79 + 63 . 21
= 37 . ( 24 + 76 ) + 63 . ( 79 + 21 )
= 37 . 100 + 36 . 100
= ( 37 + 63 ) . 100
= 100 . 100
= 10000
2 . 17 . 12 + 4. 6 . 21 + 8 . 3 . 62
= ( 2. 12 ) . 17 + ( 4 . 6 ) . 21 + ( 8 . 3 ) . 62
= 24 . 17 + 24 . 21 + 24 .62
= 24. ( 17 + 21 + 62 )
= 24 . 100 = 2400
37 . 24 + 37 . 76 + 63 . 79 + 63 . 21
= 37 . ( 24 + 76 ) + 63 . ( 79 + 21 )
= 37 . 100 + 36 . 100
= ( 37 + 63 ) . 100
= 100 . 100 = 10000
~ Chúc bn học tốt!! ^^ ~
1.-14*63+(-14)*37=-14*(63+37)=-14*100=-1400
2.-21*21+21*(-79)=21*[-21+(-79)]=21*(-100)=-2100
cho mình nha!Thank you!
\(\dfrac{1}{21}+\dfrac{2}{21}+\dfrac{3}{21}+\dfrac{4}{21}+\dfrac{5}{21}+...+\dfrac{17}{21}+\dfrac{18}{21}+\dfrac{19}{21}+\dfrac{20}{21}\)
\(=\dfrac{1+2+3+4+5+...+17+18+19+20}{21}\)
\(=\dfrac{1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20}{21}\)
\(=\dfrac{210}{21}\)
\(=10\)
(21-1).(21-2).(21-3).....(21-21)
= 20 . 19 . 18 . ... . 0
=> = 0
(21-1).(21-2).(21-3).....(21-21)
= 20 . 19 . 18 . ... . 0
=> = 0
Đáp số : 0
a)\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{98.99}+\frac{1}{99.100}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{99}-\frac{1}{100}\)
\(=1-\frac{1}{100}\)
\(=\frac{99}{100}\)
b)\(\frac{5}{11.16}+\frac{5}{16.21}+...+\frac{5}{61.66}\)
\(=\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+....+\frac{1}{61}-\frac{1}{66}\)
\(=\frac{1}{11}-\frac{1}{66}\)
\(=\frac{5}{66}\)
a,\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{98.99}+\frac{1}{99.100}\)
ta có:
\(\frac{1}{1.2}=\frac{2-1}{1.2}=\frac{2}{1.2}-\frac{1}{1.2}=1-\frac{1}{2}\)
\(\frac{1}{2.3}=\frac{3-2}{2.3}=\frac{3}{2.3}-\frac{2}{2.3}=\frac{1}{2}-\frac{1}{3}\)
...
\(\frac{1}{99.100}=\frac{1}{99}-\frac{1}{100}\)
= \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{99}-\frac{1}{100}\)
=\(1-\frac{1}{100}=\frac{99}{100}\)
b,
\(\frac{5}{11.16}+\frac{5}{16.21}+\frac{5}{21.16}+...+\frac{5}{61.66}\)
ta có:
\(\frac{5}{11.16}=\frac{16-11}{11.16}=\frac{16}{11.16}-\frac{11}{11.16}=\frac{1}{11}-\frac{1}{16}\)
\(\frac{5}{16.21}=\frac{21-16}{16.21}=\frac{21}{16.21}-\frac{16}{16.21}=\frac{1}{16}-\frac{1}{21}\)
...
\(\frac{5}{61.66}=\frac{66-61}{61.66}=\frac{66}{61.66}-\frac{61}{61.66}=\frac{1}{61}-\frac{1}{66}\)
= \(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+...+\frac{1}{61}-\frac{1}{66}\)
=\(\frac{1}{11}-\frac{1}{66}\)=\(\frac{5}{66}\)
(21-1)*21-2)*(21-3)*(21-4)*...................(21-21)
=20x19x19x17x16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1x0
=0
( 21 - 1 ) x ( 21 - 2 ) x ( 21 - 3 ) x ( 21 - 4 ) x ... x ( 21 - 21 )
= 20 x 19 x 18 x 17 x ... x 0
= 0 ( vì số nào nhân với 0 vẫn bằng 0 )
~ Chúc bạn hok tốt ~