65.142+100.15-42.65+20.100
\(\text{Tính nhanh>: 50.100+20.100+30.100}\)
Tính nhanh>:
\(\text{50.100+20.100+30.100}\)
tinh nham:
20.1000
20.100
20 . 1000 = 20000
20 . 100 = 2000
Tính hợp lí:
\(\dfrac{6^{36}.\left(50.5^{40}-10.5^{34}\right)}{30^{30}.10^4.\left(100.15^5-4.3^5\right)}\)
\(=\dfrac{2^{36}.3^{36}\left(2.5^2.5^{40}-2.5.5^{34}\right)}{2^{30}.3^{30}.5^{30}.2^4.5^4\left(2^2.5^2.3^5.5^5-2^2.3^5\right)}=\dfrac{2^{36}.3^{36}\left(2.5^{42}-2.5^{35}\right)}{2^{34}.3^{30}.5^{34}\left(2^2.3^5.5^7-2^2.3^5\right)}\)
\(=\dfrac{2^2.3^6.2.5^{35}\left(5^7-1\right)}{2^2.3^5\left(5^7-1\right)}=3.2.5^{35}=6.5^{35}\)
Tính hợp lí:
\(\dfrac{6^{36}.\left(50.5^{40}-10.5^{34}\right)}{30^{30}.10^4.\left(100.15^5-4.3^5\right)}\)
\(20.100+10.200-10.200\)
\(20.100+10.200-10.200\)
\(=2000+0\)
\(=2000\)
Chúc bạn học tốt
20 . 100 + 10 . 200 - 10 . 200
= 20 . 100 + 10 . 2 . 100 - 10 . 2 . 100
= 20 . 100 + 20 . 100 - 20 . 100
= 20 ( 100 + 100 - 100 )
= 20 . 100
= 2000
20 x 100 + 10 x 200 - 10 x 200
=> 20 x 100 ( bỏ 10 x 200 vì cộng rồi lại trừ nên có thể bỏ )
= 2000
ai làm được bài này mình phục
1000.1000.1000:2000+5000+8000:20.100
1000.1000.1000:2000+5000+8000:20.10 = 1000 000 .1/2 + 5000 + 400.10
= 500 000 + 5000 + 4000 = 509 000
tính hợp lí
(-18)+ (-31)+98+|-18|+(-69)
17.(15-16)+16.(17-20)
15.(-176)+15.76+100.15
\(\text{15.(-176)+15.76+100.15}\)
\(=15.\left(-176+76+100\right)\)
\(=15.0\)
\(=0\)
\((-18)+(-31)+98+\left|-18\right|+(-69)\)
\(=(-18)+(-31)+98+18+(-69)\)
\(=(-18)+18+(-31)+(-69)+98\)
\(=0+(-100)+98=-2\)
\(17(15-16)+16(17-20)\)
\(=17\cdot15-17\cdot16+16\cdot17-16\cdot20\)
\(=17\cdot15-16\cdot20\)
\(=-65\)
cho a = 1/1.21 + 1/2.22+...+1/80.100 b= 1/1.81 + 1/2.82+...+1/20.100 tính a/b
Cho A=1/1.21+1/1.22+1/3.23+...+1/80.100
B=1/1.81+1/2.82+1/3.83+...+1/20.100
Tính A/B
A=20/1.21+20/2.22+...+20/80.100
=1-1/21+1/2-1/22+...+1/80-1/100
=(1+1/2+...+1/80)-(1/21+1/22+...+1/100)
80B=80/1.81+80/2.82+...+8/20.100
=1-1/81+1/2-1/82+...+1/20-1/100
=(1+1/2+...+1/20)-(1/81+1/82+...+1/100)
=(1+1/2+1/3+...+1/20+1/21+1/22+...+1/80)-(1/21+1/22+...1/80+1/81+1/82+...1/100)
=>20A=80B
=>A=4B