Tính thuận tiện:
\(\left(28+16\text{×}1,7+5,9:0,28\right)\text{×}\left(4,3-8,6:2\right)\)
( 28 + 16 * 1,7 + 5,9 / 0,28 ) * ( 4,3 - 8,6 / 2 )
giúp Hiyokoi chan vs mik bí rồi
có ai ghi cách giải ra giúp Hiyokoi chan ko
Hiyokoi chan
( 28 +16 * 1,7 + 5,9 : 0,28 ) * ( 4,3 - 8,6 : 2 )
= ( 28 + 27,2 + 21 , 0714 ) * ( 4,3 - 4,3 )
= ( 28 + 27,2 + 21, 0714 ) * 0
= 0
( Chú ý mọi số tự nhiên nào nhân với 0 đều bằng 0)
^^ Học tốt nhé!
Tính bằng cách thuận tiện nhất:
\(\left(1-\dfrac{1}{2}\right)\text{× }\left(1-\dfrac{1}{3}\right)\text{ × }\left(1-\dfrac{1}{4}\right)\text{ × }\left(1-\dfrac{1}{5}\right)\text{}\text{}\text{× }\left(1-\dfrac{1}{6}\right)\)
Lời giải:
Gọi tích trên là $A$. Ta có:
$A=\frac{1}{2}\times \frac{2}{3}\times \frac{3}{4}\times \frac{4}{5}\times \frac{5}{6}$
$=\frac{1\times 2\times 3\times 4\times 5}{2\times 3\times 4\times 5\times 6}=\frac{1}{6}$
Tính
\(\frac{\text{ }\left[\left(e-m\right)^2-\left(e+m\right)^2\right]\text{ }\left[\left(y-1\right)^2-\left(y+1\right)^2\right]}{a.16.n.h}\)\(.\frac{e}{u^{-1}}\)
mình giải theo cách lớp 8 nha!!!
\(\frac{\left[\left(e-m\right)^2-\left(e+m\right)^2\right]\left[\left(y-1\right)^2-\left(y+1\right)^2\right]}{16ahn}\cdot\frac{e}{u^{-1}}\)
\(=\frac{\left(e-m-e-m\right)\left(e-m+e+m\right)\left(y-1-y-1\right)\left(y-1+y+1\right)}{16ahn}\cdot eu\)
\(=\frac{\left(-2m\right)\left(2e\right)\left(-2\right)\left(2y\right)}{16ahn}\cdot eu\)
\(=\frac{16mey}{16ahn}\cdot eu\)
\(=\frac{e^2myu}{ahn}\)
A=\(\frac{5x\left(2^2\text{x}3^2\right)^9\text{x}\left(2^2\right)^6-2\text{x}\left(2^2\text{x}3\right)^{14}\text{x}3^4}{\text{ }5\text{x}2^{28}\text{x}3^{18}-7\text{x}2^{29}\text{x}3^{18}}\)
\(\frac{5.2^{18}.3^{18}.2^{12}-2.2^{28}.3^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}=\frac{5.2^{30}.3^{18}-2^{29}.3^{18}}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}=\frac{2^{29}.3^{18}\left(5.2-1\right)}{2^{28}.3^{18}\left(5-7.2\right)}\)
\(\frac{2^{29}.3^{18}.9}{2^{28}.3^{18}.-9}=\frac{2.9}{-9}=-2\)
Câu 1 : Thực hiện phép tính
a, \(8.\left(\frac{-1}{2}\right)^2\)
b, 5,3.4,7+(-1,7).5,3-5,9
c, \(\frac{2}{3}+\frac{-1}{3}+\frac{7}{15}\)
d, \(40:\left\{\left[11+\left(26-3^3\right)\right]\right\}\)
Câu 1 :
a) 8. ( \(-\frac{1}{2}\))2
= 8. \(\frac{1}{4}\)
= 2
b) 5,3 . 4,7 + (-1,7) . 5,3 - 5,9
= 5,3 . [4,7 + (-1,7)] - 5,9
= 5,3 . 3 - 5,9
= 15,9 - 5,9
= 10,9
c) \(\frac{2}{3} + (-\frac{1}{3}) + \frac{7}{15}\)
\(=\frac{1}{3} + \frac{7}{15}\)
\(= \frac{5}{15} + \frac{7}{15}\)
\(=\frac{12}{15}\)
d) 40 : {[11 + (26-33)]}
= 40 : {[11 + (26-27)]}
= 40 : {[11 + (-1)]}
= 40 : 10
= 4
\(\text{Tính }A=\left(1-\frac{1}{21}\right).\left(1-\frac{1}{28}\right).\left(1-\frac{1}{36}\right)......\left(1-\frac{1}{1326}\right)\)
\(A=\left(1-\frac{1}{21}\right).\left(1-\frac{1}{28}\right).\left(1-\frac{1}{36}\right).....\left(1-\frac{1}{1326}\right)\)
\(A=\frac{20}{21}.\frac{27}{28}.\frac{35}{36}......\frac{1325}{1326}\)
\(A=\frac{5.8}{6.7}.\frac{6.9}{7.8}.\frac{7.10}{8.9}.....\frac{50.53}{51.52}\)
\(A=\frac{5.\left(6.7.....50\right)}{\left(6.7.....50\right).51}.\frac{53.\left(8.9.10.....52\right)}{7.\left(8.9.10.......52\right)}\)
\(A=\frac{5}{51}.\frac{53}{7}=\frac{265}{357}\)
\(A=\frac{3}{\left(1\text{*}2\right)\text{*}\left(1\text{*}2\right)}+\frac{5}{\left(2\text{*}3\right)\text{*}\left(3\text{*}2\right)}+\frac{7}{\left(3\text{*}4\right)\text{*}\left(3\text{*}4\right)}+...............+\frac{19}{\left(9\text{*}10\right)\text{*}\left(10\text{*}9\right)}\)
theo bài ra ta có
n = 8a +7=31b +28
=> (n-7)/8 = a
b= (n-28)/31
a - 4b = (-n +679)/248 = (-n +183)/248 + 2
vì a ,4b nguyên nên a-4b nguyên => (-n +183)/248 nguyên
=> -n + 183 = 248d => n = 183 - 248d (vì n >0 => d<=0 và d nguyên )
=> n = 183 - 248d (với d là số nguyên <=0)
vì n có 3 chữ số lớn nhất => n<=999 => d>= -3 => d = -3
=> n = 927
\(\text{Thực hiện các phép tính sau một cách hợp lý:}\)
\(a\)) \(\left(10^2+11^2+12^2\right):\left(13^2+14^2\right)\)
\(b\)) \(1.2.3...9-1.2.3...8-1.2.3...7.8^2\)
\(c\)) \(\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(d\)) \(1152-\left(374+1152\right)+\left(-65+374\right)\)
\(e\)) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)
Tính bằng cách thuận tiện nhất:
a) \(\left(689+875\right)+125\); \(581+\left(878+419\right)\).
b) \(\left(\dfrac{2}{7}+\dfrac{4}{9}\right)+\dfrac{5}{7}\); \(\dfrac{17}{11}+\left(\dfrac{7}{15}+\dfrac{5}{11}\right)\).
c) \(5,87+28,69+4,13\); \(83,75+46,98+6,25\).
a) (689 + 875) + 125
= 689 + (875 + 125)
= 689 + 1000 = 1689.
581 + (878 + 419)
= (581 + 419) = 878
= 1000 + 878 = 1878.
b)
c) 5,87 + 28,69 + 4,13
= (5,87 + 4,13) + 28,69
= 10 + 28,69
= 38,69.
83,75 + 46,98 + 6,25
= (83,75 + 6,25) + 46,98
= 90 + 46,98
= 136,98.
a)(689+875)+125=689+(875+125)=689+1000=1689
581 + (878+419)=581+419+878=1000+878=1878
b)(2/7+4/9)+5/7=2/7+5/7+4/9=7/7+4/9=1+4/9=9/9+4/9=13/9
17/11+(7/15+5/11)=17/11+5/11+7/15=2+7/15=30/15+7/15=3/15
c)5,87+28,69+4,13=5,87+4,13+28,69=10+28,69=38,69
83,75+46,98+6,25=83,75+6,25+46,98=90+46,98=136,98