Bài 1: Tính nhanh
c) 35. 18 – 5. 7. 28
d) 24. (16 – 5) – 16. (24 - 5)
e) 29. (19 – 13) – 19. (29 – 13)
g) 31. (-18) + 31. ( - 81) – 31
h) (-12).47 + (-12). 52 + (-12)
k) 13.(23 + 22) – 3.(17 + 28)
m) -48 + 48. (-78) + 48.(-21)
n) 135. (171 – 123) – 171. (135 - 123)
p) - (-2009 + 97) – 74. (-18) + 74. (-118) – 2009 – 3
Bài 2: Tìm số nguyên x
a/-2x – (x – 17) = 34 – (-x + 25)
b/17x – ( -16x – 37) = 2x + 43
c/-2x –3. (x – 17) = 34 – 2(-x + 25)
d/ ( x – 1)3 – 2 = -10
Bài 3: Chứng minh đẳng thức
1/ (a – b + c) – (a + c) = -b
2/ (a + b) – (b – a) + c = 2a + c
3/ - (a + b – c) + (a – b – c) = -2b
4/ a(b + c) – a(b + d) = a(c – d)
5/ a(b – c) + a(d + c) = a(b + d)
6/ a(b – c) – a(b + d) = -a( c + d)
7/ (a + b)( c + d) – (a + d)( b + c) = (a – c)(d –b)
a, =-25.21.4.(-3).(-1)
=-25.4.21.4
=-100.21.4
=-2100.4
=-8400
b, =-125.67.(-8).1
=-125.(-8).67
=1000.67
=67000
c, =35.18-35.28
=35.(18-28)
=35.(-10)
=-350
d, =24.11-16.24+16.5
=24.(11-16)+16.5
=24.(-5)+16.5
=5.(-24+16)
=5.(-8)
=-40
e, =29.6-19.29+19.13
=29.(6-19)+19.13
=29.(-13)+19.13
=13.(-29+19)
=13.(-10)
=-130
mk bo sung:
bai 1:
a) (-25).21. (-2)2.(-l-3l).(-1)2n+1 (n thuoc N*)
b) (-5)3. 67.(-l-2 mu 3l (-1)2n(n thuoc N*)
bai 2:
e) {-3x +2.[45-x-3.(3x+7)-2x]+4}=55