Tính :1+3-5-7+9+11-13-15+...-397-399
Tính hợp lí :1+3-5-7+9+11-13-15+...-397-399
1+3-5-7+9+11-13-15+...-397-399
= 1 + (3-5-7+9) + (11-13-15+17)+...+ (397-399-401+403)+401-403
= 1+0+0+....+0+401-403
=1+401-403
=-1
1+3-5-7+9+11-13-15+...-397-399
1 + 3 - 5 - 7 + 9+11-13-15+...-397-399
có (399-1):2+1=200 chữ số
=(1 + 3 - 5 - 7) + (9 + 11 - 13 - 15)+ ... + (393 + 395 - 397 - 399)
=(-8) + (-8) + ... + (-8)
có 200 : 4 = 50 số -8
=(-8) x 50
=-400
1+3-5-7+9+11-13-15+.....-397-399
=(1+3-5-7)+(9+11-13-15)+........+(393+395-397-399) =-8+(-8)+.....+(-8) có 50 so -8 =-8 .50=-400
1+3-5-7+9+11-13-15+...+395-397-399
Ta có : 1+3-5-7+9+11-13-15+..............+395-397-399
= (1+3-5-7)+(9+11-13-15)+.........+(393+395-397-399) ( 50 nhóm)
= (-8)+(-8)+................+(-8) ( 50 số)
= (-8). 50
= -400
A= 1+3-5-7+9+11-13-15+....-397-399
SSH: (399-1):2+1= 200
Neu chia moi nhom 4 so thi so cap so la:
200:4 = 50
Ta co:
B=1+3-5-7+9+11-13-15+...+393+395-397-399
B= (1+3-5-7)+(9+11-13-15)+...+(393+395-397-399)
B= -8 + -8 +...+ -8
B= -8 . 50
B= -400
SSH: (399-1):2+1= 200
Neu chia moi nhom 4 so thi so cap so la:
200:4 = 50
Ta co:
A=1+3-5-7+9+11-13-15+...+393+395-397-399
A= (1+3-5-7)+(9+11-13-15)+...+(393+395-397-399)
A= -8 + -8 +...+ -8
A= -8 . 50
A= -400
1+3-5-7+9+11-13-15+17+19-...-397-399
a) tìm các số tự nhiên avaf b biết :BCNN(a,b)=336 và UCLN(a,b)=12
b)Tính nhanh :1+3 -5-7+9+11-13-15+......-397-399
1+2+3+5+6+7+9+10+11+13+...+395+397+398+399
Tính nhanh:
1 + 3 -5 - 7 + 9 + 11 - ... - 397 - 399
Đặt biểu thức là A
Ta có
\(A=\left(1+3-5-7\right)+\left(9+11-13-15\right)+.....+\left(393+395-397-399\right)\)
\(\Rightarrow A=\left[\left(1-5\right)+\left(3-7\right)\right]+......+\left[\left(393-397\right)+\left(395-399\right)\right]\)
\(\Rightarrow A=\left[\left(-4\right)+\left(-4\right)\right]+.....+\left[\left(-4\right)+\left(-4\right)\right]\)
\(\Rightarrow A=\left(-8\right)+.....+\left(-8\right)\)
\(\Rightarrow A=\left(-8\right).50\)
\(\Rightarrow A=-400\)