Tính nhanh:
1+2+3+...+9+10
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(1+10) +(2+9) +....+ (5+6) + (10+1) +(9+2) +........+ (6+5)
= 11 x 10 = 110
\(\dfrac{1}{7}+\dfrac{2}{9}+\dfrac{3}{10}+\dfrac{7}{9}+\dfrac{6}{7}+\dfrac{7}{10}\)
\(=\left(\dfrac{1}{7}+\dfrac{6}{7}\right)+\left(\dfrac{2}{9}+\dfrac{7}{9}\right)+\left(\dfrac{3}{10}+\dfrac{7}{10}\right)\)
\(=1+1+1\)
\(=3\)
\(\dfrac{1}{7}\) + \(\dfrac{2}{9}\) + \(\dfrac{3}{10}\) + \(\dfrac{7}{9}\) + \(\dfrac{6}{7}\) + \(\dfrac{7}{10}\)
= ( \(\dfrac{1}{7}\) + \(\dfrac{6}{7}\)) + ( \(\dfrac{2}{9}\) + \(\dfrac{7}{9}\)) + ( \(\dfrac{3}{10}\) + \(\dfrac{7}{10}\))
= 1 + 1 + 1
= 3
1/10+2/9+3/8+4/7+5/6+1/6+3/7+5/8+7/9+9/10
=(1/10+9/10)+(2/9+7/9)+(3/8+5/8)+(4/7+3/7)+(5/6+1/6)
=1+1+1+1+1
=5
\(\frac{1+\left(1+2\right)+\left(1+2+3\right)+...+\left(1+2+3+...+10\right)}{1.10+2.9+3.8+...+10.1}\)
\(=\frac{\left(1+1+...+1\right)+\left(2+2+...+2\right)+...+\left(10\right)}{10.1+8.2+....+1.10}\)
\(=\frac{1.10+2.9+....+10.1}{1.10+2.9+...+10.1}=1\)
1+1/2+2/3+4/5+....+9/10
=(1+1+1+....+1)-(1/2+1/3+1/5+....+1/10)
=10-(1/2+1/3+...+1/10)
phần sau bạn tự làm nhé
\(1+\frac{1}{2}+\frac{2}{3}+...+\frac{9}{10}=\left(1+1+1+...+1\right)-\left(\frac{1}{2}+\frac{1}{3}+....+\frac{1}{10}\right)\)
\(=10-\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{10}\right)\)
\(\frac{1\cdot3\cdot9+2\cdot6\cdot18+3\cdot9\cdot27}{1\cdot5\cdot18+2\cdot10\cdot36+3\cdot15\cdot54}\)
\(=\frac{1\cdot3\cdot9+2\left(1\cdot3\cdot9\right)+3\left(1\cdot3\cdot9\right)}{1\cdot5\cdot18+2\left(1\cdot5\cdot18\right)+3\left(1\cdot5\cdot18\right)}\)
\(=\frac{\left(1\cdot3\cdot9\right)\left(1+2+3\right)}{\left(1\cdot5\cdot18\right)\left(1+2+3\right)}\)
\(=\frac{3}{10}\)
A = \(\frac{1}{1\times2}+\frac{1}{2\times3}+...+\frac{1}{9\times10}\)
A = \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{9}-\frac{1}{10}\)
A = \(1-\frac{1}{10}\)
A = \(\frac{9}{10}\)
1+2+3+4+5+6+7+8+9+10
=(1+9)+(2+8)+(3+7)+(4+6)+(5+10)
=10+10+10+10+15
=(10 x 4 )+15
=40+15=55
Đ ú n g nha, hihi
1+2+3+...+9+10
=10+(1+90)+(2+8)+(3+7)+(4+6)+5
= 10+10+10+10+10+5
= 50+5
=55
NHỚ ****!!!!!!!!!!!