Tinh nhanh
3 + ( - 12 ) + 13 + ( -22 ) + ..........+ 93 + ( - 102 )
Cau 1 : -5+11+(-15)+21+(-25)+31+...(-95)+101
Cau 2 : 3+(-12)+13+(-22)+23+(-32)+...+93+(-102)
Tính nhanh
3 + ( -12 ) + 13 + ( -22 ) + 23 + ( -32 ) + ... + 93 + ( -102 )
2. Tính nhanh
a. -5 + 11 + (-15) + 21 + (-25) + 31 + ........... + (-95) + 101
b. 3 + (-12) + 13 + (-22) + 23 + (-32) + ................ + 93 + (-102)
\(a,\left(-5\right)+11+\left(-15\right)+21+\left(-25\right)+31+...+\left(-95\right)+101\\ =\left[\left(-5\right)+11\right]+\left[\left(-15\right)+21\right]+\left[\left(-25\right)+31\right]+...+\left[\left(-95\right)+101\right]\\ =6+6+6+...+6\left(10\text{ số }6\right)\\ =6\cdot10\\ =60\)
\(b,3+\left(-12\right)+13+\left(-22\right)+23+\left(-32\right)+...+93+\left(-102\right)\\ =\left[3+\left(-12\right)\right]+\left[13+\left(-22\right)\right]+\left[23+\left(-32\right)\right]+...+\left[93+\left(-102\right)\right]\\ =\left(-9\right)+\left(-9\right)+\left(-9\right)+...+\left(-9\right)\left(10\text{ số }-9\right)\\ =\left(-9\right)\cdot10\\ =-90\)
\(a,\left(-5\right)+11+\left(-15\right)+21+\left(-25\right)+31+...+\left(-95\right)+101\)
\(=\left[\left(-5\right)+11\right]+\left[\left(-15\right)+21\right]+\left[\left(-25\right)+31\right]+...+\left[\left(-95\right)+101\right]\)
\(=6+6+6+...+6\) (10 số 6)
\(=6.10=60\)
\(\)
\(a)-5+11+(-15)+21+(-25)+31+.......+(-95)+101\)
\(=(-5+11)+(-15+21)+(-25+31)+.....+(-95+101)\)
\(=6+6+6+..........+6\)(10 số 6)
\(=6.10\)
\(=60\)
Vậy....
Câu b tương tự
Bài 1 : Tính nhanh , tính hợp lý các biểu thức sau
a ) -5 + 11 - 15 + 21 + ( -25) + 31 + .......+ ( -95) + 101
b) 3 + ( -12) + 13 + ( -22) + 23 + ( -32) + ......+93 + ( -102)
Tính tổng A = 3 + ( -12 ) + 13 + ( - 33 ) +... + 93 + ( - 102 )
a) Tính tổng S = ( -1 ) + 3 + ( - 5 ) + 7 + ... + ( - 2001 ) +2003
b) Tính tổng A = 3 + ( -12 ) + 13 + ( - 33 ) +... + 93 + ( - 102 )
tính nhanh: ( 1 + 2 + .... + 99 + 100 ) . ( 12 + 22 + .... + 102) . ( 65 . 111 - 13 . 15 . 37)
( 1 + 2 + .... + 99 + 100 ) . ( 12 + 22 + .... + 102) . ( 65 . 111 - 13 . 15 . 37)
=( 1 + 2 + .... + 99 + 100 ) . ( 12 + 22 + .... + 102) . ( 13. 5 . 3. 37 - 13 . 15
37)
=( 1 + 2 + .... + 99 + 100 ) . ( 12 + 22 + .... + 102) . ( 13. 15 . 37 - 13 . 15
37)
=( 1 + 2 + .... + 99 + 100 ) . ( 12 + 22 + .... + 102) . 0
=0
\(\left(1+2+...+100\right)\cdot\left(1^2+2^2+...+10^2\right)\cdot\left(65\cdot111-13\cdot15\cdot37\right)\)
\(=\left[65\cdot111\left(1-1\right)\right]\cdot\left(1+2+...+100\right)\cdot\left(1^2+2^2+...+10^2\right)\)
=0
( 1 + 2 + .... + 99 + 100 ) . ( 12 + 22 + .... + 102) . ( 65 . 111 - 13 . 15 . 37)
=( 1 + 2 + .... + 99 + 100 ) . ( 12 + 22 + .... + 102) . ( 13. 5 . 3. 37 - 13 . 15
37)
=( 1 + 2 + .... + 99 + 100 ) . ( 12 + 22 + .... + 102) . ( 13. 15 . 37 - 13 . 15
37)
=( 1 + 2 + .... + 99 + 100 ) . ( 12 + 22 + .... + 102) . 0
=0
Cho A = 3× 13×23×....×93;
B=2×12×22×....×92
Hỏi A-B=?
A = 3*13*23*...*93
B = 2*12*22*...*92
A-B chia chẵn cho mấy?