16. Tính nhanh:
a) 2.125.2002.8.5 ; b) 36.42 + 2.17.18 + 9.41.6
c) 28.47 + 28.43 + 72.29 + 72.61 ; d) 26.54 + 52.73
Tính nhanh:
a) 50+51 +52+...+99+100
b) 21+23+25+....+221 +223
c) 12+16+20+...+68+72
d) 4+10+16+...+118+124
a: Số số hạng là 100-50+1=51 số
Tổng là (100+50)*51/2=51*75=3825
b: Số số hạng là (223-21):2+1=102(số)
Tổng là (223+21)*102/2=12444
c: Số số hạng là (72-12):4+1=16(số)
Tổng là (72+12)*16/2=672
d: Số số hạng là (124-4):6+1=21(số)
Tổng là (124+4)*21/2=1344
tính nhanh:a)1+7+8+15+23+...+16
b)78.31+78.24+78.17+72.22
b) 78.31 + 78.24 + 78.17 + 72. 22
= 78. ( 31 + 24 + 17 ) + 72 . 22
= 78 . 72 + 72 . 22
= 72 (78+22)
= 72 . 100 = 7200
b) 78 x 31 + 78 x 24 + 78 x 17 + 72 x 22
= 78 x ( 31 + 24 + 17 ) + 72 x 22
= 78 x 72 + 72 x 22
= 72 x ( 78 + 22 )
= 72 x 100
= 7200
Tính nhanh:
a) 1001^2
b) 29,9 . 30,1
c) 199^2
d) 84^2 - 16^2
e) 313^2 - 312^2
f) 47 . 53
Giúp mik vs! mik cần gấp lắmmm !!!
Mik cám ơn
`a)1001^2`
`=(1000+1)^2=1000000+2000+1`
`=1002001`
`b)29,9.30,1`
`=(30-0,1)(30+0,1)`
`=30^2-0,1^2`
`=900-0,01=899,99`
`c)199^2=(200-1)^2`
`=40000-400+1`
`=39601`
`d)84^2-16^2`
`=(84-16)(84+16)`
`=100.68`
`=6800`
`e)313^2-312^2`
`=(313-312)(313+312)`
`=625`
`f)47.53`
`=(50-3)(50+3)`
`=2500-9=2491`
Tính nhanh:
A = ( 1 - 1/4 ) x ( 1 - 1/9 ) x ( 1 - 1/16 ) x ( 1 - 1/25 ) x.....x ( 1 - 1/9801 )
Giúp mik với ạ! Cảm ơn!
\(A=\left(1-\dfrac{1}{4}\right)\left(1-\dfrac{1}{9}\right)\cdot...\cdot\left(1-\dfrac{1}{9801}\right)\)
\(=\left(1-\dfrac{1}{2}\right)\left(1+\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1+\dfrac{1}{3}\right)\cdot...\left(1-\dfrac{1}{99}\right)\left(1+\dfrac{1}{99}\right)\)
\(=\left(\dfrac{1}{2}\cdot\dfrac{2}{3}\cdot...\cdot\dfrac{98}{99}\right)\cdot\left(\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot...\cdot\dfrac{100}{99}\right)\)
\(=\dfrac{1}{99}\cdot\dfrac{100}{2}=\dfrac{50}{99}\)
6. Tính nhanh:
a. M = 1 - ( 1/2 + 1/4 + 1/8 + 1/16 + 1/32 )
* Đây là dạng toán nâng cao lớp 4 nhưng mik cho lên lớp 5.
\(M=1-\left(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+\dfrac{1}{32}\right)\)
\(=1-\left(\dfrac{3}{4}+\dfrac{1}{8}+\dfrac{1}{16}+\dfrac{1}{32}\right)\)
\(=1-\left(\dfrac{7}{8}+\dfrac{1}{16}+\dfrac{1}{32}\right)\)
\(=1-\left(\dfrac{15}{16}+\dfrac{1}{32}\right)\)
\(=1-\dfrac{31}{32}=\dfrac{1}{32}\)
tính nhanh
2.125.2002.8.5
Tính nhanh:
2.125.2002.8.5
2.125.2002.8.5
=( 2.5). (125.8). 2002
=10.1000.2002
=20020000
Tính nhanh
\(2\). \(125\). \(2002\). \(8\). \(5\)
= \(\left(2.5\right)\). \(\left(125.8\right)\). \(2002\)
= \(10\). \(1000\). \(2002\)
= \(10000\). \(2002\)
= \(20020000\)
tk cho mk nha
Tính nhanh:
a) -5/9 - 4/15 + 2/9 -11/15
b -8/13 - 7/16 + 21/13 - 1/6
c -15/25 - 14/21 + 8/5 - 5/3
giúp mình v chiều về m đi học r
a) \(\dfrac{-5}{9}-\dfrac{4}{15}+\dfrac{2}{9}-\dfrac{11}{15}\)
\(=\left(\dfrac{-5}{9}+\dfrac{2}{9}\right)-\left(\dfrac{4}{15}+\dfrac{11}{15}\right)\)
\(=\dfrac{-3}{9}-\dfrac{15}{15}\)
\(=-\dfrac{1}{3}-1\)
\(=-\dfrac{4}{3}\)
b) \(\dfrac{-8}{13}-\dfrac{7}{16}+\dfrac{21}{13}-\dfrac{1}{6}\)
\(=\left(\dfrac{-8}{13}+\dfrac{21}{13}\right)-\dfrac{7}{16}-\dfrac{1}{6}\)
\(=\dfrac{13}{13}-\dfrac{29}{48}\)
\(=1-\dfrac{29}{48}\)
\(=\dfrac{19}{48}\)
c) \(\dfrac{-15}{25}-\dfrac{14}{21}+\dfrac{8}{5}-\dfrac{5}{3}\)
\(=\dfrac{-3}{5}-\dfrac{2}{3}+\dfrac{8}{5}-\dfrac{5}{3}\)
\(=\left(\dfrac{-3}{5}+\dfrac{8}{5}\right)-\left(\dfrac{2}{3}+\dfrac{5}{3}\right)\)
\(=\dfrac{5}{5}-\dfrac{7}{3}\)
\(=1-\dfrac{7}{3}\)
\(=-\dfrac{4}{3}\)
a: =-5/9+2/9-11/15-4/15
=-3/9-1
=-12/9=-4/3
b: =-8/13+21/13-7/16-1/6
=1-1/6-7/16
=5/6-7/16
=19/48
c: =-15/25+8/5-2/3-5/3
=-7/3+1
=-4/3
a) \(-\dfrac{5}{9}-\dfrac{4}{15}+\dfrac{2}{9}-\dfrac{11}{15}\)
\(=\left(-\dfrac{5}{9}+\dfrac{2}{9}\right)+\left(-\dfrac{4}{15}-\dfrac{11}{15}\right)\)
\(=-\dfrac{1}{3}-1=-\dfrac{4}{3}\)
b) \(-\dfrac{8}{13}-\dfrac{7}{16}+\dfrac{21}{13}-\dfrac{1}{16}\)(sửa đề)
\(=\left(-\dfrac{8}{13}+\dfrac{21}{13}\right)+\left(-\dfrac{7}{16}-\dfrac{1}{16}\right)\)
\(=1-\dfrac{1}{2}=\dfrac{1}{2}\)
c) \(-\dfrac{15}{25}-\dfrac{14}{21}+\dfrac{8}{5}-\dfrac{5}{3}\)
\(=-\dfrac{3}{5}-\dfrac{2}{3}+\dfrac{8}{5}-\dfrac{5}{3}\)
\(=\left(-\dfrac{3}{5}+\dfrac{8}{5}\right)-\left(\dfrac{2}{3}+\dfrac{5}{3}\right)\)
\(=1-\dfrac{7}{3}=\dfrac{-4}{3}\)
Tính nhanh:
a) A = 2\(^{2010}\) - 2\(^{2009}\) - 2\(^{2008}\) - 2\(^{2007}\) - ... - 2 - 1
b) B = 20 . 8 - 33 . 64 + 17 . 8 + 9 . 16 . 8 - 11 . 128
c) C = ( \(\dfrac{1}{1.2.3}\) + \(\dfrac{1}{2.3.4}\) + ... + \(\dfrac{1}{2009.2010.2011}\) ) . \(\dfrac{2010.2011}{1010.527}\)
a) \(A=2^{2010}-2^{2009}-2^{2008}-...-2-1\)
\(A=2^{2010}\left(2^{2009}+2^{2008}+...+2+1\right)\)
Đặt \(\text{A = 1 + 2 + . . . + 2^{2008} + 2^{2009}}\)
\(\text{⇒ 2 A = 2 + 2 2 + . . + 2^{2010}}\)
⇒ \(A=2^{2010}-1\)
⇒ \(A=2^{2010}-\left(2^{2010}-1\right)\)
⇒ \(A=1\)
b) \(B=2072\)
c) \(\dfrac{4949}{19800}\)
Xin lỗi mình không có nhiều thời gian để giải thích trên đây á nên tạm gửi ảnh mình tạo nhé . Học tốt !