Điền số thích hợp vào chỗ trống (....)
a) \(\left(-5\right).\left(-4\right)+\left(-5\right).14=\left(-5\right).\left[\left(-4\right)+....\right]=.....\)
b) \(3.\left(....+8\right)=13.\left(-3\right)+13.......=65\)
a) (-5) . (-4) + (-5) . 14 = (-5 ) . [ (-4) + 14 ] = -50
b ) 3 . ( 5 + 8 ) = 13 . ( -3 ) + 13 . 8 = 65
Áp dụng tính chất \(a.\left(b-c\right)=a.b-a.c\) điền số thích hợp vào chỗ trống (...) :
a) \(\left(-11\right).\left(8-9\right)=\left(-11\right)....-\left(-11\right)....=....\)
b) \(\left(-12\right).10-\left(-9\right).10=\left[-12-\left(-9\right)\right]....=....\)
a)( -11) .(8.9)= (-11) .8 - (-11) .9= 11
b) (-12).10 - (-9) . 10= [ -12 - (-9) ] . 10 = -30
a) \(\left(-11\right)\cdot\left(8-9\right)=\left(-11\right)\cdot8-\left(-11\right)\cdot9=11\)
b) \(\left(-12\right)\cdot10-\left(-9\right)\cdot10=\left[-12-\left(-9\right)\right]\cdot10=-30\)
a) ( -11 ) . ( 8 - 9 ) = ( -11 ).8 - (-11).9 = 11
b) ( -12 ) . 10 - ( - 9 ) .10 = [ - 12 - ( -9 )] . 10 = -30
Điền dấu ">", "<" thích hợp vào chỗ trống :
a) \(\left(-2\right)+\left(-5\right)......\left(-5\right)\)
b) \(\left(-10\right)......\left(-3\right)+\left(-8\right)\)
a) (-2)+ (-5) = -7
Vì: -7< -5
=> (-2)+ (-5) < -7
b) (-3)+ (-8)= -11
Vì: (-10) > (-11)
=> -10> (-3)+ (-8)
a) \(\left(-2\right)+\left(-5\right)..........\left(-5\right)\)
\(\left(-7\right)< \left(-5\right)\)
Vậy \(\left(-2\right)+\left(-5\right)< \left(-5\right)\)
b) \(\left(-10\right)...........\left(-3\right)+\left(-8\right)\)
\(\left(-10\right)>\left(-11\right)\)
Vậy \(\left(-10\right)>\left(-3\right)+\left(-8\right)\)
Đặt "\(< ,>,\le,\ge\)" vào chỗ trống cho thích hợp :
a) \(\left(-2\right).3.........\left(-2\right).5\)
b) \(4.\left(-2\right).......\left(-7\right).\left(-2\right)\)
c) \(\left(-6\right)^2+2........36+2\)
d) \(5.\left(-8\right)..........135.\left(-8\right)\)
a)ta có:(-2).3=-6 ; (-2).5=-10
Vì -6>-10 nên (-2).3>(-2).5
b)Ta có:4.(-2)=-8 ; (-7).(-2)=14
vì -8<14 nên 4.(-2)<(-7).(-2)
c)Ta có:(-6)2+2=36+2=38 ; 36+2=38
Vì 38=38 nên (-6)2+2=36+2
d)Ta có:5.(-8)=-40 ; 135.(-8)=-1080
Vì -40>-1080 nên 5.(-8) > 135.(-8)
Bai 5 :
a, \(\left(-\frac{5}{6}\right)^6.\left(\frac{6}{5}\right)^8\)
b, \(\left(-\frac{13}{8}\right)^3.\left(-\frac{32}{13}\right)^4\)
c, \(\left(-0,1\right)^7.\left(-10\right)^{13}\)
Tính :
a, \(\left(\dfrac{-5}{6}\right)^6.\left(\dfrac{6}{5}\right)^8\)
b, \(\left(-\dfrac{13}{8}\right)^3.\left(-\dfrac{32}{13}\right)^4\)
c, \(\left(-0,1\right)^7.\left(-10\right)^{13}\)
a: \(\left(\dfrac{5}{6}\right)^6\cdot\left(\dfrac{6}{5}\right)^6\cdot\left(\dfrac{6}{5}\right)^2=\left(\dfrac{5}{6}\cdot\dfrac{6}{5}\right)^6\cdot\dfrac{36}{25}=\dfrac{36}{25}\)
b: \(=-\left(\dfrac{13}{8}\right)^3\cdot\left(\dfrac{32}{13}\right)^3\cdot\dfrac{32}{13}\)
\(=-\left(\dfrac{13}{8}\cdot\dfrac{32}{13}\right)^3\cdot\dfrac{32}{13}=-4^3\cdot\dfrac{32}{13}=\dfrac{-2048}{13}\)
c: \(=\left(0.1\right)^7\cdot10^{13}=\left(0.1\cdot10\right)^7\cdot10^6=10^6\)
Tính hợp lý:
\(A=\dfrac{7}{12}+\dfrac{5}{12}:6-\dfrac{11}{36}\) \(B=\left(\dfrac{4}{5}+\dfrac{1}{2}\right):\left(\dfrac{3}{13}-\dfrac{8}{13}\right)\)
\(C=\left(\dfrac{2}{3}-\dfrac{1}{4}+\dfrac{5}{11}\right):\left(\dfrac{5}{12}+1-\dfrac{7}{11}\right)\)
a: \(A=\dfrac{7}{12}+\dfrac{5}{72}-\dfrac{11}{36}=\dfrac{42}{72}+\dfrac{5}{72}-\dfrac{22}{72}=\dfrac{25}{72}\)
b: \(B=\dfrac{8+5}{10}:\dfrac{-5}{13}=\dfrac{13}{10}\cdot\dfrac{13}{-5}=-\dfrac{169}{100}\)
c: \(C=\left(\dfrac{88}{132}-\dfrac{33}{132}+\dfrac{60}{132}\right):\left(\dfrac{55}{132}+\dfrac{132}{132}-\dfrac{84}{132}\right)\)
\(=\dfrac{88-33+60}{55+132-84}=\dfrac{115}{103}\)
Điền đúng sai vào chỗ trống (....)
a) \(\left(-36\right):2=-18.....\)
b) \(600:\left(-15\right)=-4.....\)
c) \(27:\left(-1\right)=27......\)
d) \(\left(-65\right):\left(-5\right)=13....\)
Điền đúng sai vào chỗ trống (....)
a) (−36):2=−18 Đ
b) 600:(−15)=−4 S
c) 27:(−1)=27 S
d) (−65):(−5)=13 Đ
Tính :
a) \(5+\left(-7\right)+9+\left(-11\right)+13+\left(-15\right)\)
b) \(\left(-6\right)+8+\left(-10\right)+12+\left(-14\right)+16\)
a)
\(5+\left(-7\right)+9+\left(-11\right)+13+\left(-15\right)\)
\(=\left[5+\left(-7\right)\right]+\left[9+\left(-11\right)\right]+\left[13+\left(-15\right)\right]\)
\(=\left(-2\right)+\left(-2\right)+\left(-2\right)=-6\)
b)
\(\left(-6\right)+8+\left(-10\right)+12+\left(-14\right)+16\)
\(=\left[\left(-6\right)+8\right]+\left[\left(-10\right)+12\right]+\left[\left(-14\right)+16\right]\)
\(=2+2+2=6\)
