tinh Q=(23/99-25/999-27/9999)(7/2-7/3-7/6)
bài 91(SBT 6 trang 27)
M=8/3 . 2/5 . 3/8 . 10 . 19/92
N=5/7 . 5/11 + 5/7 . 2/11 - 5/7 .14/11
Q=(1/99 + 12/999 + 123/9999) . 1/2 -1/3 -1/6)
giúp mình nhé
mình tích cho
M=8/3.2/5.3/8.10.19/92
=(8/3.3/8).(2/5.10).19/92
=1.4.19/2
=4.19/92
=19/23
N=5/7.5/11+5/7.2/11-5/7.14/11
=5/7.(5/11+2/11-14/11)
=5/7. -7/11= -5/11
Q=(1/99+12/999 +123/9999).(1/2-1/3-1/6)
=(1/99+12/999+123/9999).(3/6+ -2/6+ -1/6)
=(1/99+12/999+123/9999). 0
=0
Viết các số sau dưới dạng số thập phân
1/9 , 7/9 ,5/90 , 7/900 , 13/99 , 21/99 , 32/99 ,53/99 ,12/990 , 46/9900, 123/999 , 456/999 , 14234/9999 , 13/9999 , 7/99900, 230/99900 , 7/999 , 33/9999 , 17/999000 , 230/999900
\(\frac{1}{9}\),\(\frac{7}{9}\),\(\frac{5}{90}\),\(\frac{7}{900}\),\(\frac{13}{99}\),\(\frac{21}{99}\),\(\frac{32}{99}\),\(\frac{53}{99}\),\(\frac{12}{990}\),\(\frac{46}{9900}\),\(\frac{123}{999}\),\(\frac{456}{999}\),\(\frac{14234}{9999}\),\(\frac{13}{9999}\),\(\frac{7}{99900}\),\(\frac{230}{99900}\),\(\frac{7}{999}\),\(\frac{33}{9999}\),\(\frac{17}{999000}\),\(\frac{230}{999900}\)
A= 5/9*7/13+5/9*6/13
B=(1/99+12/999+123/9999)*(1/2-1/3-1/6)
tính
\(A=\frac{5}{9}.\frac{7}{13}+\frac{5}{9}.\frac{6}{13}\)(( . là dấu nhân nha )
\(A=\frac{5}{9}.\left(\frac{7}{13}+\frac{6}{13}\right)\)
\(A=\frac{5}{9}\)
\(B=\left(\frac{1}{19}+\frac{12}{999}+\frac{123}{9999}\right).\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
Mà \(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}=0\)
\(\Rightarrow B=0\)
này nói cho mà bít làm gì có cái luận nào k cho học sinh lớp 6 hỏi toán lớp 3 đâu
Tinh tong
a) D= 9+99+999+9999+...+999....9 (50 chu so 9)
b) E= 9+99+999+...+999...9 (200 chu so 9)
c) C=\(1-2^2+3^2-4^2+5^2-6^2+...+99^2-100^2\)
d) G= 1.1!+ 2. 2!+3.3!+ ... +100.100!
Điền > < =
a) 2543 ...... 2549
7000 ...... 6999
4271 ...... 4271
26 513 ...... 26517
100 000 ...... 99 999
99 999 ...... 9999
b) 27 000 ...... 30 000
8000 ...... 9000 - 2000
43 000 ...... 42 000 + 1000
86 005 ...... 86 050
72100 ...... 72 099
23 400 ...... 23 000 + 400
a) 2543 < 2549
7000 > 6999
4271 = 4271
26 513 > 26517
100 000 > 99 999
99 999 > 9999
b) 27 000 < 30 000
8000 > 9000 - 2000
43 000 = 42 000 + 1000
86 005 < 86 050
72100 > 72 099
23 400 = 23 000 + 400
Áp dụng các tính chất của phép nhân phân số để tính nhanh :
\(M=\dfrac{8}{3}.\dfrac{2}{5}.\dfrac{3}{8}.10.\dfrac{19}{92}\)
\(N=\dfrac{5}{7}.\dfrac{5}{11}+\dfrac{5}{7}.\dfrac{2}{11}-\dfrac{5}{7}.\dfrac{14}{11}\)
\(Q=\left(\dfrac{1}{99}+\dfrac{12}{999}-\dfrac{123}{9999}\right).\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)\)
\(M=\dfrac{8}{3}\cdot\dfrac{2}{5}\cdot\dfrac{3}{8}\cdot10\cdot\dfrac{19}{92}\\ =\dfrac{8\cdot2\cdot3\cdot10\cdot19}{3\cdot5\cdot8\cdot92}\\ =\dfrac{8\cdot2\cdot3\cdot2\cdot5\cdot19}{3\cdot5\cdot8\cdot2\cdot2\cdot23}\\ =\dfrac{19}{23}\)
\(N=\dfrac{5}{7}\cdot\dfrac{5}{11}+\dfrac{5}{7}\cdot\dfrac{2}{11}-\dfrac{5}{7}\cdot\dfrac{14}{11}\\ =\dfrac{5}{7}\cdot\left(\dfrac{5}{11}+\dfrac{2}{11}-\dfrac{14}{11}\right)\\ =\dfrac{5}{7}\cdot\left(-\dfrac{7}{11}\right)\\ =-\dfrac{5}{11}\)
\(Q=\left(\dfrac{1}{99}+\dfrac{12}{999}-\dfrac{123}{9999}\right)\cdot\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)\\ =\left(\dfrac{1}{99}+\dfrac{12}{999}-\dfrac{123}{9999}\right)\cdot\left(\dfrac{3}{6}-\dfrac{2}{6}-\dfrac{1}{6}\right)\\ =\left(\dfrac{1}{99}+\dfrac{12}{999}-\dfrac{123}{9999}\right)\cdot\left(\dfrac{1}{6}-\dfrac{1}{6}\right)\\ =\left(\dfrac{1}{99}+\dfrac{12}{999}-\dfrac{123}{9999}\right)\cdot0\\ =0\)
Chứng minh rằng là : 7/9 = 77/99 = 777/999 = 7777/9999
\(\dfrac{7}{9}=\dfrac{7}{9}\)
\(\dfrac{77}{99}=\dfrac{77\div11}{99\div11}=\dfrac{7}{9}\)
\(\dfrac{777}{999}=\dfrac{777\div111}{999\div111}=\dfrac{7}{9}\)
\(\dfrac{7777}{9999}=\dfrac{7777\div1111}{9999\div1111}=\dfrac{7}{9}\)
\(\Rightarrow\dfrac{7}{9}=\dfrac{77}{99}=\dfrac{777}{999}=\dfrac{7777}{9999}\)
\(\dfrac{77}{99}\) = \(\dfrac{77:11}{99:11}\) = \(\dfrac{7}{9}\)
\(\dfrac{777}{999}\) = \(\dfrac{777:111}{999:111}\) = \(\dfrac{7}{9}\)
\(\dfrac{7777}{9999}\) = \(\dfrac{7777:1111}{9999:1111}\) = \(\dfrac{7}{9}\)
Từ những lập luận luận trên ta có:
\(\dfrac{7}{9}\) = \(\dfrac{77}{99}\) = \(\dfrac{777}{999}\) = \(\dfrac{7777}{9999}\) (đpcm)
Cho S = 1 + 2 + 22 + 23 + 24 + 25 + 26 + 27. Chứng tỏ rằng S chia hết cho 3
Tính S= 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + … + 99 – 1
mik ko hỉu cho lăm:<
Tìm chữ số tận cùng của lũy thừa tần
a, 9999 mũ 999 mũ 99 mũ 9
b, 9 mũ 8 mũ 7 mũ 6 mũ 5 mũ 3 mũ 2
A = \(9999^{999^{99^9}}\)
Vì 999 không chia hết cho 2 nên \(999^{99^9}\) không chia hết cho 2
Vậy \(999^{99^9}\) = 2k + 1
A = 99992k+1
A = (99992)k.9999
A = \(\overline{...1}\)k. 9999
A = \(\overline{..1}\).9999
A = \(\overline{..9}\)
B = vì 8 ⋮ 2 nên \(8^{7^{6^{5^{3^2}}}}\) ⋮ 2
Vậy B = 92k = (92)k = \(\overline{..1}\)k = \(\overline{..1}\)