: Thực hiện phép tính bằng cách hợp lí.
a) 53. (-15) + (-15) 47
b) -43. 92 – 46. 27 + 46. 41
b)– 72 (15 – 49) + 15 (– 56 + 72)
d) (-24). 17. (-3)0. (-5)6.(-12n) (n ÎN)
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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
= (-15).(53 + 47)
= -15.100
= -1500
b,
-43.92 - 46.27 + 46.41
= -43.92 - 46.(27 - 41)
= -86.46 - 46.(-14)
= 46.(-86 -14)
= 46.(-100)
= -4600
c,
-72(15 - 49) + 15(-56 + 72)
= -72.15 + 72.49 - 56.15 + 72.15
= 56(63 - 15)
= 2688
d,
(-24).17.(-3)0.(-5)6.(-12n)
= (-24).17.(-56)
= 4250000
a) 53.(-15)+(-15).47
=53.[(-15)+(-15)].47
=53.(-30).47
=-1590.47
=-74730
=-72 .(-34) + 15 .(-56 + 72)
=-72 .(-34) + 15 .16
=2448+ 15 .16
=2448+240
=2688
tick nhé
-72 . ( 15-49 ) + 15 . ( -56 + 72 )
=-72 .(-34) + 15 . ( -56 + 72 )
=-72 .(-34) + 15 .16
=2448+ 15 .16
=2448+240
=2688
a)5.(-8).2.(-3)
=[5.(-2)].[(-8).(-3)]
=-10.24
=-240
b)(45-135+72)-(45+72)
=45-135+72-45-72
=(45-45)+(72-72)-135
=0+0-135
=-135
c)3.(-5)2.2+2.(-5)-20
=3.25.2+2(-5)-20
=75.2+(-10)-20
=150+(-30)
=120
d)86.(-46)+46.27-46.41
=86.(-1).46+46.27-46.41
=-86.46+46.27-46.41
=46(-86+27-41)
=46(-100)
-4600
e)34(15-10)-15(34-10)
=34.15-34.10-15.34+15.10
=(34.15-15.34)+(15.10-34.10)
=[34(15-15)]+[10(15-34)]
=34.0+10(-9)
=0+(-90)
=-90
câu 1:
= \(-102+\left[9.\left(-2\right)+8\right]:13\)
= \(-102-\frac{10}{13}\)
= \(\frac{-1336}{13}\)
Câu 2
a)
=\(-15\left(53+47\right)\)
= -15.100
=-1500
b)
= -46 ( 214+27-41)
= -46.200
= -9200
a) \(53.\left(-15\right)+\left(-15\right).47=\left(-15\right).\left(53+47\right)\)
\(=\left(-15\right).100\)
\(=-1500\)
Ta có:\(-43.92-46.27+46.41=-43.92-46.\left(27-41\right)\)
\(=-43.92-46.\left(-14\right)\)
\(=-43.92+46.14\)
\(=-43.92+92.7\)
\(=92.\left(7-43\right)\)
\(=92.\left(4-40\right)\)
\(=92.4-92.40\)
\(=368-3680\)
\(=-3312\)