41(14+5)+19(43+16)

=41.19+19.59

=19(41+59)

=19.100

=1900

41.(14+5) + 19.(43+16)

= 41.19 + 19.(43+16)

= 19.(41+43+16)

= 19.100

= 1900

41. (14+5) +19.(43+ 16)

= 41. 19 + 19 . 59

= 19 . ( 41+ 59)

= 19 . 100

= 1900

Ta có: \(A=\frac{4}{7.31}+\frac{6}{7.41}+\frac{9}{10.41}+\frac{7}{10.57}\)

\(=\frac{20}{35.31}+\frac{30}{35.41}+\frac{45}{50.41}+\frac{35}{50.57}\)

\(=5\left(\frac{4}{31.35}+\frac{6}{35.41}+\frac{9}{41.50}+\frac{7}{50.57}\right)\)

\(=5\left(\frac{1}{31}-\frac{1}{35}+\frac{1}{35}-\frac{1}{41}+\frac{1}{41}-\frac{1}{50}+\frac{1}{50}-\frac{1}{57}\right)\)

\(=5\left(\frac{1}{31}-\frac{1}{57}\right)\)

\(B=\frac{7}{19.31}+\frac{5}{19.43}+\frac{3}{23.43}+\frac{11}{23.57}\)

\(=\frac{14}{38.31}+\frac{10}{38.43}+\frac{6}{46.43}+\frac{22}{46.57}\)

\(=2\left(\frac{7}{31.38}+\frac{5}{38.43}+\frac{3}{43.46}+\frac{11}{46.57}\right)\)

\(=2\left(\frac{1}{31}-\frac{1}{38}+\frac{1}{38}-\frac{1}{43}+\frac{1}{43}-\frac{1}{46}+\frac{1}{46}-\frac{1}{57}\right)\)

\(=2\left(\frac{1}{31}-\frac{1}{57}\right)\)

\(\Rightarrow\frac{A}{B}=\frac{5\left(\frac{1}{31}-\frac{1}{57}\right)}{2\left(\frac{1}{31}-\frac{1}{57}\right)}=\frac{5}{2}\)

Tại sao lại nhân với 2 và 5

vì để tỉ số ấy bằng nhau

\(\frac{5}{19}-\frac{19}{5}-\frac{27}{43}+\frac{14}{19}-\frac{16}{43}\)

\(=\left(\frac{5}{19}+\frac{14}{19}\right)+\left(\frac{-27}{43}-\frac{16}{43}\right)-\frac{19}{5}\)

\(=1-1=0\)

=-3720

đồ bấm máy tính ko chấp

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31

+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+4

7+48+49+50-999-888-777-666-555-444-333-222-111= -3720

Olm sẽ hướng dẫn em cách làm như sau:

  14 + 15 + 16 + 17 + 18 + 19

= (14 + 16) + (15 + 17 + 18) + 19

= 30 + 50 + 19

= 80 + 19

= 99 

=99

1+2+3+4+5+6+7+8+9+11+12+13+14+15+16+17+18+19

=(1+19)+(2+18)+(3+17)+(4+16)+(5+15)+(6+14)+(7+13)+(8+12)+(9+11)

=20+20+20+20+20+20+20+20+20

=20x9

=180

\(1+2+3+4+5+6+7+8+9+11+12+13+14+15+16+17+18+19\)

\(=\left(1+19\right)+\left(2+18\right)+\left(3+17\right)+\left(4+16\right)+\left(5+15\right)+\left(6+14\right)+\left(7+13\right)+\left(8+12\right)+\left(9+11\right)\)\(=20+20+20+20+20+20+20+20+20\)

\(=20\times9\)

\(=180\)

1+2+3+4+5+6+7+8+9+11+12+13+14+15+16+17+18+19

=(1+19)+(2+18)+(3+17)+(4+16)+(5+15)+(6+14)+(7+13)+(8+12)+(9+11)

=20+20+20+20+20+20+20+20+20

=20x9

=180

33333333333333333333333333333333333'3333333333333

áp dụng kiến thức tính nhanh ý

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50=1275

= 1275