Tính
a . 3 + 5 6 x 2 3 b . 10000 - 2575 : 25
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a)\(\dfrac{1}{10000}+\dfrac{13}{10000}+\dfrac{25}{10000}+...+\dfrac{97}{10000}+\dfrac{109}{10000}\)
\(=\dfrac{1+13+25+...+97+109}{10000}\)
\(=\dfrac{\left(1+109\right)\left[109-1\right]:12+1}{20000}\)
\(=\dfrac{110.10}{20000}=\dfrac{11}{200}\)
b)\(\dfrac{4}{3}\times2019\times0,75\)
=\(\dfrac{4}{3}\times\dfrac{3}{4}\times2019\)
\(=2019\)
c)\(4\times5\times0,25\times\dfrac{1}{5}\times\dfrac{1}{2}\times2\)
\(=\left(4\times\dfrac{1}{4}\right)\left(5\times\dfrac{1}{5}\right)\left(2\times\dfrac{1}{2}\right)\)
\(=1\times1\times1=1\)
Ý d) đặt tính kiểu gì thế ?
A=1.2.3+2.3.4+....+99.100.101
4A=1.2.3.4+2.3.4.(5-1)+3.4.5.(6-2)+....+98.99.100.(101-97)
4A=1.2.3.4+2.3.4.5-1.2.3.4+3.4.5.6-3.4.5.2+....+98.99.100.101-98.99.100.97
4A=98.99.100.101
4A=97990200
A=97990200/4
A=24497550
B=1.2+3.4+5.6+7.8+8.9+...+999.1000
3B=1.2.3+2.3.(4-1)+3.4(5-2)+....+998.999(1001-998)
3B=1.2.3+2.3.4-2.3.1+3.4.5-3.4.2+....+998.999.1001-998.999.998
3B=999.1000.1001
3B=999999000
B=999999000/3
B=333333000
C=1+4+9+16+25+36+.....+10000
C=1^2+2^2+3^2+4^2+5^2+6^2+....+100^2
C=(1^2+3^2+5^2+.....+99^2)+(2^2+4^2+6^2+....+100^2)
C=99.100.101/6 + 100.101.102/6
C=166650 +171700
C=338350
Còn câu d bạn dựa vào câu c là làm được ngay bây h mk mỏi tay rùi ko muốn đánh nữa khi nào rảnh mk gửi công thức cho nha bây h mk bận rùi.
chúc bn học tốt
A=1.2.3+2.3.4+....+99.100.101
4.A=1.2.3.(4-0)+2.3.4.(5-1)+...+99.100.101.(102-98)
4.A=1.2.3.1-0.1.2.3+2.3.4.5-1.2.3.4+....+99.100.101.102-98.99.100.101
4.A=99.100.101.102
A=\(\frac{99.100.101.102}{4}\)
B=1.2+2.3+3.4+...+999.1000
3.B=1.2.(3-0)+2.3.(4-1)+3.4.(5-2)+.....+999.1000.(1001-998)
3.B=1.2.3-0.1.2+2.3.4-1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+......+999.1000.1001-998.999.1000
3.B=999.1000.1001
=>B=\(\frac{999.1000.1001}{3}\)
C và D dễ lắm bạn tự làm nhé
a) (2/5 x 25/29) + (3/5 x 25/29)
= (50/145) + (75/145)
= 125/145
b) (5/2 x 3/7) - (3/14 : 6/7)
= 15/14 - (3/14 x 7/6)
= 15/14 - 1/2
= (30/28) - (14/28)
= 16/28
= 4/7
c) (15/4 : 5/12) - (6/5 : 11/15)
= (15/4 x 12/5) - (6/5 x 15/11)
= 180/20 - 90/55
= 9 - 18/11
= (99/11) - (18/11)
= 81/11
= 7 4/11
a) (2/3) + (20/21 x 3/2 x 7/5)
= 2/3 + (60/210)
= 2/3 + 2/7
= (14/21) + (6/21)
= 20/21
b) (5/17 x 21/32 x 47/24 x 0)
= 0
c) (11/3 x 26/7) - (26/7 x 8/3)
= (286/21) - (208/21)
= 78/21
= 3 9/21
= 3 3/7
a) (25/8) : x = 5/16
=> (25/8) x (16/5) = x
=> 4 = x
b) x + (7/15) = 6/15
=> x = (6/15) - (7/15)
=> x = -1/15
c) x : (28/49) = 7/12
=> x x (49/28) = 7/12
=> x = (7/12) x (28/49)
=> x = 1/2
a) 6 x x = (5/8) : (3/4)
=> 6x = (5/8) x (4/3)
=> 6x = 20/24
=> 6x = 5/6
=> x = (5/6) / 6
=> x = 5/36
câu,b,không,đủ,thông,tin,nhan,bạn.
3/4.8/9.15/16......9999/10000
= 3.8.15.....9999/4.9.16......10000
=101/50
a; \(\dfrac{5}{6}\) + \(\dfrac{5}{12}\) + \(\dfrac{5}{20}\) + ... + \(\dfrac{5}{132}\)
= 5.(\(\dfrac{1}{6}\) + \(\dfrac{1}{12}\) + \(\dfrac{1}{20}\) + ..+ \(\dfrac{1}{132}\))
= 5.(\(\dfrac{1}{2.3}\) + \(\dfrac{1}{3.4}\) + ... + \(\dfrac{1}{11.12}\))
= 5.(\(\dfrac{1}{2}\) - \(\dfrac{1}{3}\) + \(\dfrac{1}{3}\) - \(\dfrac{1}{4}\) + ...+ \(\dfrac{1}{11}\) - \(\dfrac{1}{12}\))
= 5.(\(\dfrac{1}{2}\) - \(\dfrac{1}{12}\))
= 5.(\(\dfrac{6}{12}\) - \(\dfrac{1}{12}\))
= 5.\(\dfrac{5}{12}\)
= \(\dfrac{25}{12}\)
\(M=\frac{1}{1000}+\frac{13}{1000}+\frac{25}{1000}+\frac{37}{1000}+...+\frac{121}{1000}+\frac{133}{1000}\)
\(=\frac{1+13+25+37+...+121+133}{1000}\)
\(=\frac{804}{1000}=\frac{201}{250}\)
a . 3 + 5 6 x 2 3 = 3 + 5 9 = 32 9 b . 10000 - 2575 : 25 = 10000 - 103 = 9897