tính nhanh:
i) 19/35+`23/44+16/35+21/44
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1.
\(35\times\left(14-23\right)-23\times\left(14-35\right)\)
\(=35\times14-35\times23-23\times14+23\times35\)
\(=\left(23\times35-35\times23\right)+14\times\left(35-23\right)\)
\(=0+14\times12\)
\(=168\)
2.
\(27\times\left(13-16\right)-16\times\left(13-27\right)\)
\(=27\times13-27\times16-16\times13+16\times27\)
\(=13\times\left(27-16\right)+\left(27\times16-16\times27\right)\)
\(=13\times11+0\)
\(=143\)
3.
\(44\times\left(-36\right)+22\times\left(-28\right)\)
\(=22\times2\times\left(-36\right)+22\times\left(-28\right)\)
\(=22\times\left(-72\right)+22\times\left(-28\right)\)
\(=22\times\left[\left(-72\right)+\left(-28\right)\right]\)
\(=22\times\left(-100\right)\)
\(=-2200\)
Chúc bạn học tốt
B. 173 + 45 + 135 + 27 + 50
= (173+27) + (45 +135) +50
=200 + 180 + 20 + 30
= 200 +200 +30
=430
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
\(P=\dfrac{32}{64}\cdot\dfrac{-57}{19}+\dfrac{35}{21}\cdot\dfrac{22}{44}=\dfrac{1}{2}\left(-3+\dfrac{5}{3}\right)=\dfrac{1}{2}\cdot\dfrac{-4}{3}=\dfrac{-2}{3}\)
\(Q=\dfrac{75}{125}\cdot\dfrac{82}{164}+\dfrac{49}{98}\cdot\dfrac{-35}{105}=\dfrac{1}{2}\left(\dfrac{3}{5}-\dfrac{1}{3}\right)=\dfrac{1}{2}\cdot\dfrac{4}{15}=\dfrac{2}{15}\)
a, (-17) + 21 + 79 + 17
= (-17 + 17) + (21 + 79)
= 0 + 100
= 100
b, 40 + 22 + (-16) + (-44)
= 40 + {(-16) + (-44} + 22
= 40 - 60 + 22
= - 20 + 22
= 2
c, (-12) + (-47) + (-28) + 47
= - (12 + 28) + (-47 + 47)
= - 40 + 0
= - 40
d, (- 5) + (-3) + 35 + (-17)
= (-5 + 35) - (3 + 17)
= 30 - 20
= 10
i)19/35+23/44+16/35+21/44
=(19/35+16/35)+(23/44+21/44)
=1+1
=2
\(\dfrac{19}{35}+\dfrac{23}{44}+\dfrac{16}{35}+\dfrac{21}{44}\)
\(=(\dfrac{19}{35}+\dfrac{16}{35})+(\dfrac{23}{44}+\dfrac{21}{44})\)
\(=\dfrac{35}{35}+\dfrac{44}{44}\)
\(=1+1=2\)