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( -45 ) + | -46 | + ( -47 ) + | -48 | + ( -49 ) + | -50 | + ..... + ( -101 ) + | -102 |
=(-45)+46+(-47)+48+(-49)+50+......+(-101)+102
=[(-45)+46]+[(-47)+48]+[(-49)+50]+....+[(-101)+102]
=1+1+1+....+1(có 29 số 1)
=1.29=29
\(A=\frac{1}{1.2.3}+\frac{1}{2.3.4}+...+\frac{1}{98.99.100}\)
\(A=\frac{1}{2}.\left(\frac{2}{1.2.3}+\frac{2}{2.3.4}+...+\frac{2}{98.99.100}\right)\)
\(A=\frac{1}{2}.\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+...+\frac{1}{98.99}-\frac{1}{99.100}\right)\)
\(A=\frac{1}{2}.\left(\frac{1}{2}-\frac{1}{9900}\right)\)
\(A=\frac{1}{2}.\frac{4949}{9900}\)
\(A=\frac{4949}{19800}\)
\(1+2+3+...+47+49\)
Ta có SSH=(47-1):1+1=47
Tổng là: (47+1).47:2=1128
\(\Rightarrow1128+49=1177\)
Đáp số \(1177\)
a) \(53.\left(-15\right)+\left(-15\right).47=\left(-15\right).\left(53+47\right)=\left(-15\right).100=-1500\)
b) \(\left(-43\right).92-46.27+46.41=\left(-86\right).46-46.27+46.41\)
\(=46\left[\left(-86\right)-27+41\right]=46.\left(-72\right)=-3312\)
c) \(\left(-72\right)\left(15-49\right)+15\left(-56+72\right)=\left(-72\right).15-72.49+15.\left(-56\right)+15.72\)
\(=\left[\left(-72\right).15+15.72\right]-72.49-15.56=0-3528-840=4368\)
d) \(\left(-2^4\right).17.\left(-3\right)^0.\left(-5\right)^6\left(-1^{2n}\right)=16.17.1.12625.\left(-1^{2n}\right)\)
a,\(53.\left(-15\right)+\left(-15\right).47\)
\(=-15.\left(53+47\right)=-15.100=-1500\)
\(b,-43.92-46.27+46.41\)
\(=-43.92-\left[46.\left(27-41\right)\right]=-43.92-\left[46.\left(-14\right)\right]\)
\(=-3956+644=-3312\)
\(c,-72\left(15-49\right)+15\left(-56+72\right)\)
\(=-15.72+49.72+15.\left(-56\right)+15.72\)
\(=72.\left(-15+49+15\right)-15.56=3528-840=2688\)
a) 53.(-15)+(-15).47
=53.[(-15)+(-15)].47
=53.(-30).47
=-1590.47
=-74730
a,5200
b, -4800
c,-4700
d,52400
e,37
sorry nha,mk ko giải ra đc
bn thông cảm
\(a,\left(5318-46+151\right)-\left(318-146+51\right)\)
\(=5318-46+151-318+146-51\)
\(=5000+100+100=5200\)
\(b,48.154-48.254\)
\(=48.\left(154-254\right)\)
\(=48.\left(-100\right)=-4800\)