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Khoảng cách là 1
Số số hạng là :
( 109 - 10 ) : 1 + 1 = 100
Tổng trên bằng :
( 109 +10 ) x 100 : 2 = 5950
Đáp số :5950
so so hang la :
(109-10):1+1=100(so)
tông đo la :
(109+10)*100:2=5950
|25 - 24 -10| - (28 - 30 + 4)
= |1 - 10| - (-2 + 4)
= |-9| - 2
= 9 - 2
= 7
-(-73) + (44 - 94 + 27) + 94
= 73 + (-50 + 27) + 94
= 73 + (-23) + 94
= 73 - 23 + 94
= 50 + 94
= 144
(-33 + 108 - 75) - (108 + 25)
= (75 - 75) - 133
= 0 - 133
= -133
120 - (-2 + 120 - 18) - 92
= 120 - (118 - 18) - 92
= 120 - 100 - 92
= 20 - 92
= -72
a)\(12-\left[25+\left(6+3\right)^2\right]\)
\(=12-\left[25+9^2\right]\)
\(=12-\left[25+81\right]\)
\(=12-106\)
\(=\left(-94\right)\)
b) \(315-\left(8^6\div8^4-12.3+7+7^3\right)\)
\(=316-\left(8^2-36+7+343\right)\)
\(=316-\left(64-43+343\right)\)
\(=316-\left(21+343\right)\)
\(=316-364\)
\(=\left(-48\right)\)
\(\frac{1}{2}+\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+...+\frac{89}{90}\)
\(=1-\frac{1}{2}+1-\frac{1}{6}+1-\frac{1}{12}+1-\frac{1}{20}+...+1-\frac{1}{90}\)
\(=9-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\right)\)
\(=9-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)\)
\(=9-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{9}-\frac{1}{10}\right)\)
\(=9-\left(1-\frac{1}{10}\right)\)
\(=9-\frac{9}{10}=\frac{81}{10}\)
Tính nhanh các tổng sau:
a) 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26 + 29
= ( 2+ 8 ) + ( 5 + 20) + ( 11 + 29 ) + ( 14 + 26 ) + ( 17 + 23 )
= 10 + 25 + 40 + 40 + 40
= 35 + 120
= 155
b) 120 + 116 + 112 + 108 + 104 + 100 + 96 + 92 + 88 + 84 + 80
= ( 120 + 80 ) + ( 116 + 84 )+ ( 112 + 88 ) + ( 108 + 92 ) + ( 104 + 96 ) + 100
= 200 + 200 + 200 + 200 + 200 + 100
= 200 x 5 + 100
= 1100
tính nhanh
a, (756 - 217) - ( 183 -44)
\(=756-217-183+44\)
\(=\left(756+44\right)+\left(-217-183\right)\)
\(=800-400\)
\(=400\)
b, 11-12+13-14+15-16+17-18+19-20
\(=\left(11+19\right)-\left(12+18\right)+\left(13+17\right)-\left(14+16\right)+\left(15-20\right)\)
\(=30-30+30-30-5\)
\(=-5\)
a) \(\left(756-217\right)-\left(183-44\right)\)
= \(756-217-183+44\)
= \(\left(756+44\right)+\left(-217-183\right)\)
= \(800+\left(-400\right)\)
= \(400\)
\(a,\dfrac{90}{108}-\dfrac{40}{72}=\dfrac{5}{6}-\dfrac{5}{9}=\dfrac{30}{36}-\dfrac{20}{36}=\dfrac{10}{36}=\dfrac{5}{18}\)
\(b,\dfrac{59}{8}+\dfrac{21}{4}=\dfrac{59}{8}+\dfrac{42}{8}=\dfrac{101}{8}\)
\(c,\dfrac{25}{2}-\dfrac{18}{13}+\dfrac{5}{13}=\dfrac{325}{26}-\dfrac{26}{26}+\dfrac{10}{26}=\dfrac{309}{26}\)
\(d,\dfrac{17}{13}-\left(\dfrac{25}{100}+\dfrac{4}{13}\right)=\dfrac{17}{13}-\dfrac{29}{52}=\dfrac{3}{4}\)
a) \(\dfrac{90}{108}-\dfrac{40}{72}\)
\(=\dfrac{5}{6}-\dfrac{5}{6}\)
\(=0\)
Đặt A= 1/4+1/12+1/36+1/108+1/324 +1/972
=1/4.(1+1/3+1/9+1/27+1/81+1/243)
=1/4(1+1/3 +1/3^2 +1/3^3 +1/3^4 +1/3^5)
gọi M=1+1/3+1/3^2+1/3^3+1/3^4+1/3^5
3M=3+1+1/3+1/3^2+1/3^3+1/3^4
3M-M=(3+1+1/3+1/3^2+1/3^3+1/3^4)-(1+1/3+1/3^2+1/3^3+1/3^4+1/3^5)
2M=3-1/3^5
M=3/2-1/3^5.2
A=1/4.(3/2-1/3^5.2)
A=3/8-1/1944=91/243
Vậy .......
Chúc bạn học tốt .....^-^
108 . 12 + 25 . 92 + 13 . 108
= 108 . ( 12 + 13 ) + 25 . 92
= 108 . 25 + 25 . 92
= 25 . ( 108 + 92 )
= 25 . 200
= 5000
\(108.12+25.92+13.108\)
\(=108.\left(12+13\right)+25.92\)
\(=108.25+25.92\)
\(=25.\left(108+92\right)\)
\(=25.200\)
\(=5000\)