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8 tháng 8 2019

\(23\frac{13}{15}\cdot\frac{-11}{5}+13\frac{2}{15}:\frac{-5}{11}+\left(\frac{3}{2}\right)^2\)

\(< =>\frac{358}{15}\cdot\frac{-11}{5}+\frac{197}{15}:\frac{-5}{11}+\left(\frac{3}{2}\right)^2\)

\(< =>\frac{-3938}{75}+\frac{-2167}{75}+\left(\frac{3}{2}\right)^2\)

\(< =>\frac{-407}{5}+\left(\frac{3}{2}\right)^2\)

\(< =>\frac{-1583}{20}\)

7 tháng 9 2017

a, 216 = 23.213 = 8.213

Vì 7 < 8 => 7.213 < 8.213 => 7.213 < 216

b, 2115 = 315.715 

275.498 = 315.716

Vì 715 < 716 => 315.715 < 315 < 716 => 2115 < 275 < 498

c, 19920 < 20020 = 820.2520 = 260.540

200315 > 200015 = 1615.12515 = 260.545

Vì 540 < 545 => 260 . 540 < 260.545 => 19920 < 200315

d, 339 < 340 = (34)10 = 8110

1121 > 1120 = (112)10 = 12110

Vì 8110 < 12110 => 339 < 1121

7 tháng 9 2017

a) \(7.2^{13}< 8.2^{13}\Rightarrow7.2^{13}< 2^3.2^{13}\Rightarrow7.2^{13}< 2^{16}.\)

20 tháng 3 2020

\(A=\frac{3}{4}-\left(\frac{5}{2}+\frac{5}{3}\right)+\left(\frac{-1}{3}\right)^2\)

\(\Rightarrow A=\frac{3}{4}-\left(\frac{15}{6}+\frac{10}{6}\right)+\frac{1}{9}\)

\(\Rightarrow A=\frac{3}{4}-\frac{25}{6}+\frac{1}{9}\)

\(\Rightarrow A=\frac{18}{24}-\frac{100}{24}+\frac{1}{9}\)

\(\Rightarrow A=\frac{-82}{24}+\frac{1}{9}\)

\(\Rightarrow A=\frac{-41}{12}+\frac{1}{9}=\frac{-123}{36}+\frac{4}{36}=\frac{-119}{36}\)

Vậy A=\(\frac{-119}{36}\)

b)\(B=\frac{-11}{19}.\frac{4}{13}+\frac{-11}{13}.\frac{15}{19}+\frac{11}{13}\)

\(\Rightarrow B=\frac{-11}{19}.\frac{4}{13}+\frac{11}{13}.\left(\frac{-15}{19}+1\right)\)

\(\Rightarrow B=\frac{-11}{19}.\frac{4}{13}+\frac{11}{13}.\frac{4}{19}\)

\(\Rightarrow B=\frac{-11}{13}.\frac{4}{19}+\frac{11}{13}.\frac{4}{19}=\frac{4}{19}.\left(\frac{-11}{13}+\frac{11}{13}\right)=\frac{4}{19}.\frac{0}{13}=\frac{4}{19}.0=0\)

Vậy B=0

Chúc bn học tốt

8 tháng 8 2019

=\(21\frac{13}{15}.\frac{-11}{5}+13\frac{2}{15}.\frac{-11}{5}+\frac{9}{16}\)

=\(\left(21\frac{13}{15}+13\frac{2}{15}\right).\frac{-11}{5}+\frac{9}{16}\)

\(35.\frac{-11}{5}+\frac{9}{16}\)

\(-77+\frac{9}{16}\)

\(\frac{1223}{16}\)

BÀI 1

a,  \(5\times\frac{-7}{10}=\frac{-35}{10}=\frac{-7}{2}\)

b,  \(\frac{4}{5}\times\frac{-7}{10}=\frac{-28}{50}=\frac{-14}{25}\)

c,  \(\frac{4}{9}+\frac{4}{3}\times\frac{16}{4}=\frac{4}{9}+\frac{16}{3}=\frac{52}{9}\)

d,  \(\frac{11}{22}-\frac{3}{9}\times\frac{14}{21}=\frac{11}{22}-\frac{2}{9}=\frac{55}{198}=\frac{5}{18}\)  

BÀI 2

\(A=\frac{6}{13}\times\frac{5}{7}+\frac{6}{13}\times\frac{2}{7}+\frac{17}{13}\)

\(A=\frac{30}{91}+\frac{12}{91}+\frac{17}{13}\)

\(A=\frac{30}{91}+\frac{12}{91}+\frac{119}{91}\)

\(A=\frac{161}{91}=\frac{23}{13}\)

\(B=\frac{11}{15}\times\frac{4}{11}+\frac{11}{15}\times\frac{5}{11}+\frac{11}{15}\times\frac{2}{11}\)

\(B=\frac{4}{15}+\frac{1}{3}+\frac{2}{15}\)

\(B=\frac{11}{15}\)

\(C=\left(\frac{19}{64}-\frac{33}{22}+\frac{24}{51}\right)\times\left(\frac{1}{5}-\frac{1}{15}-\frac{2}{15}\right)\)

\(C=\frac{-797}{1088}\times0\)

\(C=0\)

\(D=\frac{8}{13}\times\frac{7}{12}+\frac{8}{13}\times\frac{5}{12}-\frac{1}{12}\)

\(D=\frac{14}{39}+\frac{10}{39}-\frac{1}{12}\)

\(D=\frac{83}{156}\)

3 tháng 10 2021

bạn biết câu náy không (24 + 11) . {546 - [14 . (64 - 2^{3}3) : 2]} =

12 tháng 10 2018

mẫu ý a)

78-3(x-1)=15

<=>78-3x+3=15

<=>3x=81-15=66

<=>x=22

13 tháng 10 2018

a)\(78-3\left(x-1\right)=15\)

\(3\left(x-1\right)=78-15\)

\(3\left(x-1\right)=63\)

\(x-1=63:3\)

\(x-1=21\)

\(x=21+1=22\)

b. \(\left(7x-11\right)^3=2^5.5^2+200\)

\(\left(7x-11\right)^3=32.25+200\)

\(\left(7x-11\right)^3=800+200=1000\)

\(\left(7x-11\right)^3=10^3\)

\(\Rightarrow7x-11=10\)

\(7x=10+11\)

\(7x=21\)

\(x=21:7=3\)

c.\(5.\left(3x-13\right)=5^4\)

\(3x-13=5^4:5\)

\(3x-13=5^3=125\)

\(3x=125+13=138\)

\(x=138:3=46\)

d.\(3.\left(5x-13\right)=3^4\)

\(5x-13=3^4:3=3^3\)

\(5x-13=27\)

\(5x=27+13=40\)

\(x=40:5=8\)