Tính nhanh
12+15+18+....87+90
Tính tổng sau:
D=6/15*18+6/18*21+6/21*24+...+6/87*90
\(D=\frac{6}{15\times18}+\frac{6}{18\times21}+\frac{6}{21\times24}+...+\frac{6}{87\times90}\)
\(=2\times\left(\frac{3}{15\times18}+\frac{3}{18\times21}+...+\frac{3}{87\times90}\right)\)
\(=2\times\left(\frac{18-15}{15\times18}+\frac{21-18}{18\times21}+...+\frac{90-87}{87\times90}\right)\)
\(=2\times\left(\frac{1}{15}-\frac{1}{18}+\frac{1}{18}-\frac{1}{21}+...+\frac{1}{87}-\frac{1}{90}\right)\)
\(=2\times\left(\frac{1}{15}-\frac{1}{90}\right)=\frac{1}{9}\)
1/15×18+1/18×21+1/21×24+...+1/87×90
1/15.18 + 1/18.21 + 1/21.24 + ... + 1/87.90
= 1/3.(3/15.18 + 3/18.21 + 3/21.24 + ... + 3/87.90)
= 1/3.(1/15 - 1/18 + 1/18 - 1/21 + 1/21 - 1/24 + ... + 1/97 - 1/90)
= 1/3.(1/15 - 1/90)
= 1/3.1/18
= 1/54
Đặt tổng trên là A
3A = \(\frac{1\cdot3}{15\cdot18}+\frac{1\cdot3}{18\cdot21}+...+\frac{1\cdot3}{87\cdot90}\)
\(=\frac{1}{15}-\frac{1}{18}+\frac{1}{18}-\frac{1}{21}+...+\frac{1}{87}-\frac{1}{90}\)
\(=\frac{1}{15}-\frac{1}{90}\)
\(=\frac{1}{30}\)
\(A=\frac{1}{30}\div3=\frac{1}{30\cdot3}=\frac{1}{90}\)
\(#Louis\)
Tính hợp lí
A=(21/31+(-16/7))+(44/53+10/31)+9/53
B=6/15×18+6/18×21+....+6/87×90
S=6/15*18+6/18*21+6/21*24+...+6/87*90
giup toi voi
\(s=\frac{6}{15\times18}+\frac{6}{18\times21}+\frac{6}{21\times24}+....+\frac{6}{87\times90}\)
\(s-3=\frac{3}{15\times18}+\frac{3}{18\times21}+\frac{3}{21\times24}+....+\frac{3}{87\times90}\)
\(s-3=\frac{1}{15}-\frac{1}{18}+\frac{1}{18}-\frac{1}{21}+\frac{1}{21}-\frac{1}{24}+....+\frac{1}{87}-\frac{1}{90}\)
\(s-3=\frac{1}{15}-\frac{1}{90}\)
\(s-3=\frac{1}{18}\)
\(s=\frac{1}{18}+3\)
\(s=\frac{55}{18}\)
Tính nhanh
12 . 25 + (-134) . 12 + (-12) : (-9)
12 . 25 + (-134) . 12 + (-12) : (-9)
= 12. [25+(-134) +9]
= 12. (-100)
=-1200
tính nhanh
12\(\dfrac{1}{4}\):\(\dfrac{4}{3}\) +4\(\dfrac{1}{4}\) :(\(\dfrac{-4}{3}\) )
`12 1/4 \div 4/3 + 4 1/4 \div (-4/3)`
`= 12 1/4 * 3/4 + 4 1/4 * (-3/4)`
`= 3/4 * (12 1/4 - 4 1/4)`
`= 3/4 * 8`
`= 24/4 = 6`
\(=\dfrac{49}{4}\cdot\dfrac{3}{4}+\dfrac{17}{4}\cdot\dfrac{-3}{4}\)
=3/4(49/4-17/4)
=3/4*8=6
Bài 4 : Tính hợp lí :
a) - 85 . (7 - 15) - 15 (87 - 7)
b) 94 . (-18 + 30) + 18 . ( 94 - 30 )
Mình cần gấp lắm bạn nào nhanh mình tick nhanh luôn ạ !! Cảm ơn !!
tính nhanh:
a)-65.(87-17) - 87.(17-65)
b)87.(13-18) - 13.(87+18)
tinh cac tong sau
A= 4/ 3*7+4/7*11+4/11*15 +...+4/107*111
B= 2/15 +2/35+2/63+...+2/399
C= 7/10*11+7/11*12+7/12*13+...+7/69*70
D= 6/15*18+6/18*21+6/21*24+...+6/87*90
E= 3 mu 2/ 8*11+ 3mu2/11*14+3mu2/14*17+...+3 mu2 / 197*200
\(A=\frac{4}{3.7}+\frac{4}{7.11}+...+\frac{4}{107.111}\)
\(A=\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{107}-\frac{1}{111}\)
\(A=\frac{1}{3}-\frac{1}{111}\)
\(A=\frac{12}{37}\)
mà dài quá bạn ơi ban tách ra thành nhiều câu hỏi đi thế này trả lời lâu lắm