1/Tìm n biết:
25 . 5ⁿ = 625
2/Tính nhanh:
a) 37(26+6) + (14+49).32
b) 14.50
c) 3000:125
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1) $(-35)\cdot18+28\cdot35$
$=35\cdot(-18)+28\cdot35$
$=35\cdot(-18+28)$
$=35\cdot10$
$=350$
2) $53\cdot29-47\cdot(-29)$
$=53\cdot29-47\cdot(-1)\cdot29$
$=53\cdot29+47\cdot29$
$=29\cdot(53+47)$
$=29\cdot100$
$=2900$
3) $125\cdot(-24)+24\cdot225$
$=(-125)\cdot24+24\cdot225$
$=24\cdot(-125+225)$
$=24\cdot100$
$=2400$
4) $26\cdot(-121)-121\cdot(-36)$
$=-121\cdot[26+(-36)]$
$=-121\cdot(26-36)$
$=-121\cdot(-10)$
$=121\cdot10$
$=1210$
5) $65\cdot(-25)+25\cdot(-23)$
$=-65\cdot25+25\cdot(-23)$
$=25\cdot(-65-23)$
$=25\cdot(-88)$
$=-2200$
6) $237\cdot(-26)+26\cdot137$
$=-237\cdot26+26\cdot137$
$=26\cdot(-237+137)$
$=26\cdot(-100)$
$=-2600$
7) $30\cdot(-125)+25\cdot30$
$=30\cdot(-125+25)$
$=30\cdot(-100)$
$=-3000$
8) $(-37)\cdot69+(-31)\cdot37$
$=37\cdot(-69)+37\cdot(-31)$
$=37\cdot(-69-31)$
$=37\cdot(-100)$
$=-3700$
9) $31\cdot72-31\cdot70-31\cdot2$
$=31\cdot(72-70-2)$
$=31\cdot(2-2)$
$=31\cdot0$
$=0$
10) $(-12)\cdot47+(-12)\cdot52+(-12)$
$=-12\cdot(47+52+1)$
$=-12\cdot100$
$=-1200$
$\text{#}Toru$
a, 568 + 568 x 135 - 568 x 36
= 568 x ( 1 + 135 - 36)
= 568 x 100
56 800
b, 17 x 49 + 49 x 37 + 54 x 26 + 54 x 25
= 49 x ( 17 + 37) + 54 x ( 26 + 25 )
= 49 x 54 + 54 x 51
= 54 x ( 49 + 51)
= 54 x 100
= 5 400
c, 14 x 35 x 5 + 10 x 25 x 7 + 20 x 70
= ( 2 x 35) x ( 7 x 5) + ( 10 x 7) x 25 + 20 x 70
= 70 x 35 + 70 x 25 + 20 x 70
= 70 x ( 35 + 25 + 20)
= 70 x 80
= 5 600
a) 568 + 568 x 135 - 568 x 36
= 568 x ( 1+1+135-1-36 )
=568 x 100
=5680
b) 17 x 49 + 49 x 37 + 54 x 26 + 54 x 25
= 49 x ( 17 + 37 ) + 54 x ( 26 + 25 )
= 49 x 54 + 54 x 51
= 54 x ( 49 + 51 )
= 54 x 100
= 5400
c) 14 x 35 x 5 + 10 x 25 x 7 + 20 x 70
= 70 x 35 + 10 x 25 x 7+ 20 x 70
= 70 x 35 + 250 x 7 + 20 x 70
= 70 x 35 + 70 x 25 + 20 x 70
= 70 x (35+25+20)
= 70 x 80
= 5600
a) (68 - 8) . 14 + (-27 - 33) . 15
=60.14+(-60).15
=-60.(15-14)
=-60.1
=-60
b) 37 . (55 - 49) - 49 . (55 - 37)
=37.55-37.49-49.55-49.37
=37.55-49.55
=55(37-49)
=55.(-12)
=-660
c) (-4) . 19 . (-8) . (-25) . (125)
=[-4.(-25)].[-8.(-125)].19
=100.1000.19
=1900000
d) 32 . (-125) . 17 . (-25)
=(32.17).[-125.(-25)]
=544.3125
=1700000
a) Ta có: \(A=\dfrac{37^3+12^3}{49}-37\cdot12\)
\(=\dfrac{\left(37+12\right)\left(37^2-37\cdot12+12^2\right)}{49}-37\cdot12\)
\(=37^2-2\cdot37\cdot12+12^2\)
\(=\left(37-12\right)^2\)
\(=25^2=625\)
a ) 31 x ( - 125 ) + 225 x 31
= 31 x [ ( - 125 ) + 225 ]
= 31 x 100
= 3100
b ) 26 x ( - 125 ) - 125 x ( - 36 )
= ( - 26 ) x 125 - 125 x ( - 36 )
= 125 x [ ( - 26 ) - ( - 36 ) ]
= 125 x 10
= 1250
a) 31 × (-125) + 225 × 31
= 31 x ( -125 + 225 )
= 31 x 100
= 3100
b) 26 × (-125) – 125 × (-36)
= -125 ( 26 - 36 )
= 125x 10
= 1250
d) 17 × (-37) – 23 × 37 – 46 × (-37)
= -629 - 851 + 1702
= 1480
a) \(125\times25\times8\times4\)
\(\Rightarrow\left(125\times8\right)\times\left(25\times4\right)\)
\(\Rightarrow1000\times100\)
\(\Rightarrow100000\)