5/8 + 5/24 + 5/48 + ... + 5/528
dien tiep vao cho cham........*48 + 5 *48 + 2 * 48 = 528
... * 48 + 5 * 48 + 2 * 48 = 528
=> (... + 5 + 2) * 48 = 11 * 48
=> ... + 7 = 11
=> ... = 11 - 7
=> ... = 4
gọi chỗ trống đó là x ta có
x * 48 + 5 * 48 + 2* 48 = 528
(x+5+2)* 48 = 528
(x+5+2) = 528:48
(x+5+2) =11
x+5 = 11 - 2
x+5 = 9
x = 9-5
x = 4
A = 5/8 + 5/24 + 5/48 + ...... + 5/9800
Ta có: \(A=\dfrac{5}{8}+\dfrac{5}{24}+\dfrac{5}{48}+...+\dfrac{5}{9800}\)
\(=\dfrac{5}{2}\left(\dfrac{2}{8}+\dfrac{2}{24}+\dfrac{2}{48}+...+\dfrac{2}{9800}\right)\)
\(=\dfrac{5}{2}\left(\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{8}+...+\dfrac{1}{98}-\dfrac{1}{100}\right)\)
\(=\dfrac{5}{2}\left(\dfrac{1}{2}-\dfrac{1}{100}\right)\)
\(=\dfrac{5}{2}\cdot\dfrac{49}{50}\)
\(=\dfrac{245}{100}=\dfrac{49}{20}\)
Tính nhẩm:
8 x 5 =
8 x 4 =
8 x 6 =
8 x 3 =
40 : 8 =
32 : 8 =
48 : 8 =
24 : 8 =
40 : 5 =
32 : 4 =
48 : 6 =
24 : 3 =
Học sinh nhẩm và ghi:
8 x 5 = 40
8 x 4 = 32
8 x 6 = 48
8 x 3 = 24
40 : 8 = 5
32 : 8 = 4
48 : 8 = 6
24 : 8 = 3
40 : 5 = 8
32 : 4 = 8
48 : 6 = 8
24 : 3 = 8
(chú ý: mối quan hệ giữa nhân và chia)
Tính nhẩm:
8 x 5 = 40
8 x 4 = 32
8 x 6 = 48
8 x 3 = 24
40 : 8 = 5
32 : 8 = 4
48 : 8 = 6
24 : 8 = 3
40 : 5 = 8
32 : 4 = 8
48 : 6 = 8
24 : 3 = 8
Tính nhẩm :
32 : 8 =
24 : 8 =
40 : 5 =
16 : 8 =
42 : 7 =
36 : 6 =
48 : 8 =
48 : 6 =
32 : 8 = 4
24 : 8 = 3
40 : 5 = 8
16 : 8 = 2
42 : 7 = 6
36 : 6 = 6
48 : 8 = 6
48 : 6 = 8
bài 2
1)-5/8*15/4
2) -15/17*25/-34
3) -12*8/3
4)-15/14*20/-21
5)-48*(-24/5)
1: \(=\dfrac{-5}{8}\cdot\dfrac{15}{4}=-\dfrac{75}{32}\)
2: \(=\dfrac{15}{17}\cdot\dfrac{25}{34}=\dfrac{375}{578}\)
3: \(=-12\cdot\dfrac{8}{3}=-4\cdot8=-32\)
4: \(=\dfrac{15}{14}\cdot\dfrac{20}{21}=\dfrac{50}{49}\)
5: \(=48\cdot\dfrac{24}{5}=230.4\)
2/3 + 7/1 =
25/48 + 11/24 =
5/7 + 3/8
15/24 + 12/6
5/6 + 4/3
3/8 + 7/12 =
Giúp mình nhanh nha , mik đang cần gấp
2/3 + 7/1 = 2/3 + 7 = 2/3 + 21/3 = 23/3
25/48 + 11/24 = 25/48 + 22/48 = 47/48
5/7 + 3/8 = 40/56 + 21/56 = 61/56
15/24 + 12/6 = 5/8 + 2 = 5/8 + 16/8 = 21/8
5/6 + 4/3 = 5/6 + 8/6 = 13/6
3/8 + 7/12 = 9/24 + 14/24 = 23/24
= 23/3
= 47/48
=61/56
=21/8
=13/6
= 23/24
1.tính A.-5/8-7/-12 B.3/4+(-5)/6-11/-12 C.1/6-1/36 D.15/48-(-5)/12 E.-1/7-1/8 F.-5/15-(-3)/25 G.3/4-(-5)/12-7/-24
a: \(=\dfrac{-5}{8}+\dfrac{7}{12}=\dfrac{-15}{24}+\dfrac{14}{24}=\dfrac{-1}{24}\)
b: \(=\dfrac{3}{4}-\dfrac{5}{6}+\dfrac{11}{12}=\dfrac{9}{12}-\dfrac{10}{12}+\dfrac{11}{12}=\dfrac{10}{12}=\dfrac{5}{6}\)
c: \(=\dfrac{6}{36}-\dfrac{1}{36}=\dfrac{5}{36}\)
d: \(=\dfrac{5}{12}+\dfrac{5}{12}=\dfrac{10}{12}=\dfrac{5}{6}\)
e: \(=\dfrac{-8}{56}-\dfrac{7}{56}=\dfrac{-15}{56}\)
f: \(=\dfrac{-5}{15}+\dfrac{3}{25}=\dfrac{-25}{75}+\dfrac{9}{75}=\dfrac{-16}{75}\)
Tính hợp lí :
1. 35.18-5.7.28
2/ 45-5.(12+9)
3/ 24.(16-5)-16.(24-5)
4/ 29 . (19--13) -19 . (29-13)
5/ 31. (-18) + 31 . (-81) - 31
6 / ( -12) . 47 + ( -12 ) . 52 + (-12)
7/ 13 .( 23 + 22 ) - 3. ( 17 + 28)
8/ -48 + 48 . ( -78 ) + 48 . (-21)
1) \(35.18-5.7.28=35.18-35.28=35\left(18-28\right)=-350\)
2) \(45-5\left(12+9\right)=45-60-45=-60\)
3) \(24\left(16-5\right)-16\left(24-5\right)=24.16-24.5-16.24+16.5=5\left(16-24\right)=5.8=40\)
4) \(29\left(19-13\right)-19\left(29-13\right)=29.19-29.13-19.29+19.13=13\left(19-29\right)=-130\)
5) \(31.\left(-18\right)+31.\left(-81\right)-31=-31.\left(18+81+1\right)=-3100\)
6) \(\left(-12\right).47+\left(-12\right).52+\left(-12\right)=\left(-12\right)\left(47+52+1\right)=-1200\)
7) \(13\left(23+22\right)-3\left(17+28\right)=13.45-3.45=45.\left(13-3\right)=450\)
8) \(-48+48.\left(-78\right)+48.\left(-21\right)=-48\left(1+78+21\right)=-4800\)
Bài 1: Tính hợp lý
1/ 35.18-5.7.28
2/ 45-5.(12+9)
3/ 24.(16-5)-16.(24-5)
4/ 29.(19-13)-19.(29-13)
5/ 31.(-18)+31.(-81)-31
6/ (-12).47(-12).52+(-12)
7/ 13.(23+22)-3.(17+28)
8/ -48+48.(-78)+48.(21)
1, 35 . 18 - 5 . 7 . 28
= 35 . 18 - 35 . 28
= 35 . ( 18 - 28 )
= 35 . ( -10 )
= -350
2, 45 - 5 . ( 12 + 9 )
= 40 . 21
= 840
3, 24 . ( 16 - 5 ) - 16 . ( 24 - 5 )
= 24 . 11 - 16 . 19
= 264 - 304
= -40