Tinhs nhanh
1/2+1/10+1/50+1/250+1/750+1/3750
Cho M =1/99+2/98+3/97+.........+99/1/1/2+1/3+1/4+.........+1/100 va N = 92-1/9-2/10-3/11-......-92/100/1/45+1/50+1/55+......+1/500. Tinhs M-2.N = ?
\(\dfrac{1}{2}\) + \(\dfrac{1}{10}\)+ \(\dfrac{1}{50}\)+ \(\dfrac{1}{250}\)
tính nhanh
1/2+1/10+1/50+1/250+1/1250
tính nhanh
1/2+1/10+1/50+1/250+1/1250
= 0,5 + 0,1 + 0,02 + 0,004 + 0,0008
= 0,6248
Tính nhanh
1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42
\(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}\)
\(=\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+\dfrac{1}{4\cdot5}+\dfrac{1}{5\cdot6}+\dfrac{1}{6\cdot7}\)
\(=\dfrac{1}{1}\cdot\dfrac{1}{2}+\dfrac{1}{2}\cdot\dfrac{1}{3}+\dfrac{1}{3}\cdot\dfrac{1}{4}+\dfrac{1}{4}\cdot\dfrac{1}{5}+\dfrac{1}{5}\cdot\dfrac{1}{6}+\dfrac{1}{6}\cdot\dfrac{1}{7}\)
\(=\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}\)
\(=\dfrac{1}{1}-\dfrac{1}{7}=\dfrac{7}{7}-\dfrac{1}{7}=\dfrac{6}{7}\)
Bài 1 : tính nhanh
1+4+7+10+13+16+19
34+77-66+13
1 + 4 + 7 + 10 + 13 + 16 + 19 = 70
34 + 77 - 66 + 13 = 58
\(1+4+7+10+13+16+19=\left(1+19\right)+\left(4+16\right)+\left(7+13\right)+10=20+20+20+10=70\)
\(34+77-66+13=58\)
câu 1: so sánh phân số
a) 2005/2001 và 2009/2005 b) 13/15 ; 1313/1515 và 131313/151515
câu 2: tính nhanh
1/4 : 0,25 - 1/8 : 0,125 + 1/2 : 0,5 - 1/10 : 0,1
câu 3:
a) tìm giá trị của a, biết:
( 1 + 4 + 7 + ........... + 100) : a = 17
b) tìm giá trị của X biết: ( X - 1/2) x 5/3 = 7/4 - 1/2
2:
=1-1+1-1=0
3:
a: =>34*(100+1)/2:a=17
=>a=101
b: =>5/3(x-1/2)=5/4
=>x-1/2=5/4:5/3=3/4
=>x=5/4
1a, \(\dfrac{2005}{2001}\) = 1+\(\dfrac{4}{2001}\); \(\dfrac{2009}{2005}\)=1+\(\dfrac{4}{2005}\)vì\(\dfrac{4}{2001}\)>\(\dfrac{4}{2005}\)nên\(\dfrac{2005}{2001}\)>\(\dfrac{2009}{2005}\)
1b,\(\dfrac{1313}{1515}\)=\(\dfrac{1313:101}{1515:101}\)= \(\dfrac{13}{15}\); \(\dfrac{131313}{151515}\)=\(\dfrac{131313:10101}{151515:10101}\)=\(\dfrac{13}{15}\)
Vậy \(\dfrac{13}{15}\)=\(\dfrac{1313}{1515}\)=\(\dfrac{131313}{151515}\)
a , CM A = 1/1^2+1/2^2+......+1/50^2 < 2
b, Tinhs B = 3+3/2+3/2^2 +...+3/2^9
1/1^2<1 và 1/50^2<1
=> A<1
=> A<2
Tính giá trị của mỗi biểu thức sau:
a) 250 + 250 x 2
(250 + 250) x 2
b) 750 – 50 x 5
(750 – 50) x 5
c) 210 x 4 – 4 x 210
3 x (270 : 9) x 0
a) \(250 + 250 × 2 = 250 + 500 = 750 \\ (250 + 250) × 2 = 500 × 2 = 1 000\)
b)\( 750 – 50 × 5 = 750 – 250 = 500\\
(750 – 50) × 5 = 700 × 5 = 3 500\)
c) \(210 × 4 – 4 × 210 = 840 – 840 = 0\\
3 × (270 : 9) × 0 = 0\)
tính nhanh
1/6x7+1/7x8+1/8x9+1/9x10+1/10x11
=1/6-1/7+1/7-1/8+1/8-1/9+...+1/10-1/11
=1/6-1/11=5/66