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1.Tính:
Q=14.29+14.71+(1+2+3+4+...+99)(199199.198-198198.199)
TUI ĐANG CẦN GẤP LÀM ƠN GIÚP TUI ĐI !!!!
Q = 14 . 29 + 14 . 71 + ( 1 + 2 + 3 + ... + 99)(199199 . 198 - 198198 . 199)
= 14 . ( 29 + 71 ) + ( 1 + 2 + ... + 99)( 199 . 1001 . 198 - 198 . 1001 . 199 )
= 14 . 100 + ( 1 + 2 + ... + 99) . 0
= 1400 + 0
= 1400
\(Q=14.29+14.71+\left(1+2+3+4+....+99\right).\left(199199.198-198198.199\right)\)
\(=14.\left(29+71\right)+\left(1+2+3+4+..+99\right).\left(199.101.198-198.1001.199\right)\)
\(=14.100+\left(1+2+3+4+...+99\right).0\)
\(=1400+0\)
\(=1400\)
Q = 14.29+14.71+(1+2+3+4+...+99).(199199.198-198198.199)
= 14.(29+71) + (1+2+3+4+...+99) . (199.101.198-198.1001.199)
= 14.100 + (1+2+3+4+...+99) . 0
= 1400 + 0
= 1400
Q=14(29+71)+(1+2+3+...+99)(199.1001.198-198.1001.199)=14.100+(1+2+3+...+99).0=1400
P=(5.311+4.312):(39.52-39.23)
=[311.(5+4.3)]:[39.(52-23)]
=(311.17):(39.17)
=311.17:39:17
=32=9
Vậy P=9
Bài 1 :
\(a)\) \(A=78.31+78.24+17.78+22.72\)
\(A=78\left(31+24+17\right)+22.72\)
\(A=78.72+22.72\)
\(A=72\left(78+22\right)\)
\(A=72.100\)
\(A=7200\)
\(b)\) \(B=3^4.109-3^6+\left(1+2+3+...+2018\right)\left(199199.198-198198-199\right)\)
\(B=3^4\left(109-3^2\right)+\left(1+2+3+...2018\right)\left(199.1000.198-198.1000.199\right)\)
\(B=81.100+\left(1+2+3+...+2018\right).0\)
\(B=8100\)
\(c)\) \(C=1.2+2.3+3.4+...+99.100\)
\(3C=1.2.3+2.3.3+3.4.3+...+99.100.3\)
\(3C=1.2.\left(3-0\right)+2.3.\left(4-1\right)+3.4.\left(5-2\right)+...+99.100.\left(101-98\right)\)
\(3C=\left(1.2.3+2.3.4+3.4.5+...+99.100.101\right)-\left(0.1.2+1.2.3.+2.3.4+...+98.99.100\right)\)
\(3C=99.100.101-0.1.2\)
\(3C=999900\)
\(C=\frac{999900}{3}\)
\(C=333300\)
Chúc bạn học tốt ~
14 . 29 + 14 . 71 + ( 1 + 2 + 3 + 4 + ... + 99 ) . ( 199199 . 198 - 198198 . 199 )
= 14 . ( 29 + 71 ) + ( 1 + 2 + 3 + 4 + ... + 99 ) . ( 199 . 1001 . 198 - 198 . 1001 . 199 )
= 14 . 100 + ( 1 + 2 + 3 + 4 + ... + 99 ) . 0
= 1400 + 0
= 1400
b. 14 . 29 + 14 . 71 + (1+2+3+....+99) . (199199 . 198 -198198 . 199)
=14.(29+71)+(1+2+3+....+99) . (199.1001 . 198 -198198 . 199)
=14.100+(1+2+3+....+99) . (198198 . 199 -198198 . 199)
=1400+(1+2+3+....+99) .0
=1400
a. 215 . 62 + 42 - 52 . 215
=215.(62-52)+42
=215.10+42
=2150+42
=2192
Tick mình đúng nha bạn !!!!!!!!!!!!!!!
a)
215 . 62 + 42 - 52 . 215
= 215 . ( 62 + 42 - 52 )
= 215 . 52
= 215 . ( 50 + 2 )
= 215 . 50 + 215 . 2
= 10750 + 430
= 11180
b) Nguyễn Hiền Phương làm đúng rồi
\(A=\frac{20\cdot4^{14}\cdot9^9-4\cdot9^{10}\cdot8^9}{40\cdot2^6\cdot6^{19}-7\cdot2^{29}\cdot27^6}\)
\(=\frac{2^2\cdot5\cdot2^{28}\cdot3^{18}-2^2\cdot3^{20}\cdot2^{27}}{2^3\cdot5\cdot2^6\cdot2^{19}\cdot3^{19}-7\cdot2^{29}\cdot3^{18}}\)
\(=\frac{2^{30}\cdot3^{18}\cdot5-2^{29}\cdot3^{20}}{2^{28}\cdot3^{19}\cdot5-2^{29}\cdot3^{18}\cdot7}\)
\(=\frac{2^{29}\cdot3^{18}\left(2\cdot5-3^2\right)}{2^{28}\cdot3^{18}\cdot\left(3\cdot5-2\cdot7\right)}\)
\(=\frac{2^{29}\cdot3^{18}}{2^{28}\cdot3^{18}}=2\)
Vậy : \(A=2\)
hình như đề bài bị thiếu