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a,=16.(64+17)+81.84
=16.81+81.84
=81(16+84)
=81.100=8100
b,=32.19+32
=32.(19+1)
=32.20=640
c,=12.19+12.37+44.12
=12.(19+37+44)
=12.100=1200
d, Khoảng cách là:
5-1=4;9-5=4
Số số hạng là:
(81-1):4+1=21(số)
Tổng dãy số là:
(81+1).21:2=861
a
\(\text{=16.(64+17)+81.84}\)
\(\text{=16.81+81.84}\)
\(\text{ =81.(16+84)}\)
\(\text{=81.100=8100}\)
b
\(\text{=32.19+32}\)
\(\text{ =32.(19+1)}\)
\(\text{ =32.20=640}\)
c
\(\text{=12.19+12.37+44.12}\)
\(\text{ =12.(19+37+44)}\)
\(\text{ =12.100}\)
\(=1200\)
d
Có tất cả số hạng là
\(\text{( 81 - 1 ) : 4 + 1 = 21 (số )}\)
Tổng là
\(\text{( 81 + 1 ) x 21 : 2 = 861}\)
a) 19 + (29 - 9*37) - (63*9 - 29*99)
= 19 + 29 - 9*37 - 63*9 + 29*99
= 19 + 29(1 + 99) - 9(37 + 63)
= 19 + 29*100 - 9*100
= 19 + 100(29 - 9)
= 19 + 100*20
= 19 + 2000 = 2019
b) \(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}\)
= \(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}+\frac{1}{2^5}+\frac{1}{2^6}+\frac{1}{2^7}\)
= \(\frac{2^6+2^5+2^4+2^3+2^2+2+1}{2^7}\)
= \(\frac{64+32+16+8+4+2+1}{128}\) = \(\frac{127}{128}\)
a,16 X 50X-25X(-250)
=(16 X-25)X50X(-250)
=-400X50X-250
=-20000X-250
=5000000
b,-54X76+12X(-76)
=76X(-54-12)
=76X(-66)
=-5016
c,32X(-64)-64X68
=-64X(32+68)
=-64X100
=-6400
d,19X42.(-19)+38X5
=19X(42-1)+19X2X5
=19X41+19X10
=19X(41+10)
=19X51=969
a) 16.50.(-25).(-250)
=[16.(-25)].50.(-250)
=-400.50.(-250)
=-20000.(-250)
=5000000
b,-54.76+12.(-76)
=76.(-54-12)
=76.(-66)
=-5016
c,32.(-64)-64.68
=-64.(32+68)
=-64.100
=-6400
d,19.42.(-19)+38.5
=19.(42-1)+19.2.5
=19.(42-1)+19.(2.5)
=19.41+19.10
=19.(41+10)
=19.51
=969
x - ( 81 + 5x ) = 19
=> x - 81 - 5x = 19
=> ( x - 5x ) - 81 = 19
=> -4x = 19 + 81
=> -4x = 100
=> x = 100 : ( -4 )
=> x = -25
2x - ( 8 + 3x ) = 92
=> 2x - 8 - 3x = 92
=> ( 2x - 3x ) = 8 + 92
=> -x = 100
=> x = -100
\(9^7.81:9^5=9^7.9^2:9^5=9^{7+2-5}=9^4\\ x^{12}:x.x^8=x^{12-1+8}=x^{19}\\ 16.2^4:8=2^4.2^4:2^3=2^{4+4-3}=2^5\\ 64.4^5:16=4^3.4^5:4^2=4^{3+5-2}=4^6\\ 3^{12}.3:3^8=3^{12+1-8}=3^5\\ 7^9.7^{12}:2015^0=7^{9+12}:1=7^{19}\)
19 + 9 . { 474 - [ 12 x ( 64 - 16 ) : 2 } ]
= 19 + 9 . { 474 - [ 12 x 48 : 2 } ]
= 19 + 9 . { 474 - [ 576 : 2 } ]
= 19 + 9 . { 474 - 288 }
= 19 + 9 . 168
= 19 + 1674
=
1674 + 19 = 1693