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a, \(12,5\times2,5\times4\times0,8\)
\(=\left(12,5\times0,8\right)\times\left(2,5\times4\right)\)
\(=10\times10\)
\(=100\)
b, \(43,8\times12,3+86,7\times43,8+43,8\)
\(=43,8\times\left(12,3+86,7+1\right)\)
\(=43,8\times100\)
\(=4380\)
c, \(437-\left(534-163\right)\)
\(=437-371\)
\(=66\)
Học tốt
a: =43,8x(2,25+7,75)=43,8x10=438
b: =>12,25(121,3-a)=980
=>121,3-a=80
hay a=41,3
a) \(\frac{5}{1.4}+\frac{5}{4.7}+\frac{5}{7.10}+.....+\frac{5}{27.30}\)
\(=\frac{5}{3}\left(\frac{1}{1.4}+\frac{1}{4.7}+........+\frac{1}{27.30}\right)\)
\(=\frac{5}{3}\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+.....+\frac{1}{27}-\frac{1}{30}\right)\)
\(=\frac{5}{3}\left(1-\frac{1}{30}\right)\)
\(=\frac{5}{3}.\frac{29}{30}=\frac{29}{36}\)
Đặt \(A=\frac{12}{3\cdot5}+\frac{12}{5\cdot7}+\frac{12}{7\cdot9}+....+\frac{12}{97\cdot99}\)
\(2A=\frac{12}{3}-\frac{12}{5}+\frac{12}{5}-\frac{12}{7}+...+\frac{12}{97}-\frac{12}{99}\)
\(2A=\frac{12}{3}-\frac{12}{99}\)
\(A=\frac{128}{33}\cdot\frac{1}{2}=\frac{64}{33}\)
( 12/26 + 5/8 ) + 7/13
= 12/26 + 5/8 + 7/13
= 5/8 + 12/26 + 7/13
= 5/8 + 12/26 + 14/26
= 5/8 + 1
= 13/8
( \(\frac{12}{26}+\frac{5}{8}\) )+\(\frac{7}{13}\)
= \(\frac{6}{13}+\frac{5}{8}\)+\(\frac{7}{13}\)
=( \(\frac{6}{13}+\frac{7}{13}\))+ \(\frac{5}{8}\)
=1+\(\frac{5}{8}\)
=\(1\frac{5}{8}=\frac{13}{8}\)
\(A=\frac{2019}{2}+\frac{2019}{6}+\frac{2019}{12}+....+\frac{2019}{2018.2019}\)
\(=\frac{2019}{1}.\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{2018.2019}\right)\)
\(=\frac{2019}{1}.\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2018.2019}\right)\)
\(=\frac{2019}{1}.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{4}+....+\frac{1}{2018}-\frac{1}{2019}\right)\)
\(=\frac{2019}{1}.\left(1-\frac{1}{2019}\right)\)
\(=\frac{2019}{1}.\frac{2018}{2019}\)
\(=2018\)
\(A=\frac{2019}{2}+\frac{2019}{6}+\frac{2019}{12}+\frac{2019}{20}+\frac{2019}{30}+\frac{2019}{2018.2019}\)
\(A=\frac{2019}{1.2}+\frac{2019}{2.3}+\frac{2019}{3.4}+\frac{2019}{4.5}+\frac{2019}{5.6}+...+\frac{2019}{2018.2019}\)
\(A=2019.\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2018.2019}\right)\)
\(A=2019.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2018}-\frac{1}{2019}\right)\)
\(A=2019.\left(1-\frac{1}{2019}\right)\)\(=2019.\frac{2018}{2019}=2018\)
Vậy A = 2018
-Dấu " . " là dấu nhân.
4/5 x 0,5 + 12/5 x 0,3 + 8 : 10 x 0,2
=4/5 x 0,5 + 12/5 x 0,3 + 4/5 x 0,2
=(4/5 + 12/5 + 4/5) x (0,5 + 0.3 + 0,2)
=4 x 1
=4
\(\frac{4}{5}x0,5+\frac{12}{5}x0,3+8:10x0,2=\)\(\frac{4}{5}x0,5+\frac{12}{5}x0,3+\frac{8}{10}x0,2=\)\(\frac{4}{5}x0,5+\frac{12}{5}x0,3+\frac{4}{5}x0,2=\)
\(=\frac{4}{5}x\left(0,5+0,2\right)+\frac{12}{5}x0,3\)\(=\frac{4}{5}x\frac{7}{10}+\frac{12}{5}x0,3=\frac{32}{25}\)
Ta có : \(43,8:\frac{5}{12}+43,8\times7,6\)
\(=43,8\times\frac{12}{5}+43,8\times\frac{38}{5}\)
\(=\left(\frac{12}{5}+\frac{38}{5}\right)\times43,8\)
\(=43,8\times\frac{50}{5}\)
\(=43,8\times10=438\)
=43,8*12/5+43,8*7,6
=43,8*(12/5+7,6)
=43,8*(2,4+7,6)
=43,8*10
=438
hok tot