1+5+10...100=?
A=(1^100+2^100+…+10^100).(5^10-25^5)
B=(2^5+3^5+4^5).(1^2+2^2+…+100^2).(4^10-2^20)
Tính nhanh A = (1^100+2^100+…+10^100).(5^10-25^5)
B = (2^5+3^5+4^5).(1^2+2^2+…+100^2).(4^10-2^20)
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`Answer:`
\(A=\left(1^{100}+2^{100}+...+10^{100}\right)\left(5^{10}-25^5\right)\)
\(=\left(1^{100}+2^{100}+...+10^{100}\right)[5^{10}-\left(5^2\right)^5]\)
\(=\left(1^{100}+2^{100}+...+10^{100}\right)\left(5^{10}-5^{10}\right)\)
\(=\left(1^{100}+2^{100}+...+10^{100}\right).0\)
\(=0\)
\(B=\left(2^5+3^5+4^5\right)\left(1^2+2^2+...+100^2\right)\left(4^{10}-2^{20}\right)\)
\(=\left(2^5+3^5+4^5\right)\left(1^2+2^2+...+100^2\right)\left(2^{2.10}-2^{20}\right)\)
\(=\left(2^5+3^5+4^5\right)\left(1^2+2^2+...+100^2\right).0\)
\(=0\)
tính nhanh
A=(1^100+2^100+…+10^100).(5^10-25^5)
B=(2^5+3^5+4^5).(1^2+2^2+…+100^2).(4^10-2^20)
1, 50+50+50+100/5=
2, 100/100+20/10+5=
3, 200/100+50/10+6=
1)50+50+50+100/5
=50+50+50+20
=100+70
=170
2)100/100+20/10+5
=1+2+5
=3+5
=8
3)200/100+50/10+6
=2+5+6
=7+6
=13
minh tr nha ban
chuyển thành số thập phân
a,2 và 2/10= 4 và 3100= 9/10= 51/10= 75/100= 125/100= 1075/1000= 14 và 17/100=
b,1/2= 3/4= 4/5= 5/8= 2 và 1/2= 3 và 1/4= 1 và 3/5= 4 và 3/8=
a: \(2\dfrac{2}{10}=2,2\)
\(4\dfrac{31}{100}=4,31\)
9/10=0,9
51/10=5,1
75/100=0,75
125/100=1,25
1075/1000=1,075
\(14\dfrac{17}{100}=14,17\)
b: 1/2=0,5
3/4=0,75
4/5=0,8
5/8=0,625
\(2\dfrac{1}{2}=2,5\)
\(3\dfrac{1}{4}=3,25\)
\(1\dfrac{3}{5}=1,6\)
\(4\dfrac{3}{8}=4,375\)
Tính tổng:
1/5 + 1/5+10 + 1/5+10+15 + .... + 1/5+10+15+....+100
`Answer:`
\dfrac15+\dfrac1{5+10}+\dfrac1{5+10+15}\ +\,.\!.\!.+\ \dfrac1{5+10+15\ +\,.\!.\!.+\ 100}\\=\dfrac15+\dfrac1{5.(1+2)}+\dfrac1{5.(1+2+3)}\ +\,.\!.\!.+\ \dfrac1{5.(1+2+3\ +\,.\!.\!.+\ 20)}\\=\dfrac15\left(1+\dfrac1{1+2}+\dfrac1{1+2+3}\ +\,.\!.\!.+\ \dfrac1{1+2+3\ +\,.\!.\!.+\ 20}\right)\\=\dfrac15\bigg(\dfrac22+\dfrac26+\dfrac2{12}\ +\,.\!.\!.+\ \dfrac2{20.21}\bigg)\\=\dfrac25\left(\dfrac1{1.2}+\dfrac1{2.3}+\dfrac1{3.4}\ +\,.\!.\!.+\ \dfrac1{20.21}\right)\\=\dfrac25\left(1-\dfrac12+\dfrac12-\dfrac13+\dfrac13-\dfrac14\ +\,.\!.\!.+\ \dfrac1{20}-\dfrac1{21}\right)\\=\dfrac25\left(1-\dfrac1{21}\right)\\=\dfrac25\!\cdot\!\dfrac{20}{21}\\=\dfrac8{21}
`Answer:`
Mình gửi lại bài nhé. Mong lần này không bị lỗi như lần trước.
\(\dfrac15+\dfrac1{5+10}+\dfrac1{5+10+15}\ +\,.\!.\!.+\ \dfrac1{5+10+15\ +\,.\!.\!.+\ 100}\\=\dfrac15+\dfrac1{5.(1+2)}+\dfrac1{5.(1+2+3)}\ +\,.\!.\!.+\ \dfrac1{5.(1+2+3\ +\,.\!.\!.+\ 20)}\\=\dfrac15\left(1+\dfrac1{1+2}+\dfrac1{1+2+3}\ +\,.\!.\!.+\ \dfrac1{1+2+3\ +\,.\!.\!.+\ 20}\right)\\=\dfrac15\bigg(\dfrac22+\dfrac26+\dfrac2{12}\ +\,.\!.\!.+\ \dfrac2{20.21}\bigg)\\=\dfrac25\left(\dfrac1{1.2}+\dfrac1{2.3}+\dfrac1{3.4}\ +\,.\!.\!.+\ \dfrac1{20.21}\right)\\=\dfrac25\left(1-\dfrac12+\dfrac12-\dfrac13+\dfrac13-\dfrac14\ +\,.\!.\!.+\ \dfrac1{20}-\dfrac1{21}\right)\\=\dfrac25\left(1-\dfrac1{21}\right)\\=\dfrac25\!\cdot\!\dfrac{20}{21}\\=\dfrac8{21}\)
Bài 1: Tính:
a) 10 000 x 9 + 1 000 x 8 + 100 x 7 + 10 x 6 + 5
b) 100 000 x 3 + 100 x 6 + 10 x 5 + 7
c) 100 000 x 6 + 10 000
Bài 2: Tìm X:
a) X + 77=600x30
b) 8950 : X=10:2
c) 5 x X=8765
Bài 1 :
a) = 98765
b) = 300657
c) 610000
Bài 2:
a) X + 77 = 1800
X = 1800 - 77
X = 1723
b) 8950 : x = 5
x = 8950 : 5
x = 1790
c) x = 8765 : 5
x = 1753
a,98765 b,300657 c,610000 Bài 2 : a, 17923 b, 1790 c, 1753
Bài 1 : tính
A.98765
B.3000657
C.6100000
Bài 2 : tim X
A. 17923
B.1790
C.1753
A, X = 2 x 10 000 + 2 x 1000 +5 x 100+9 x 10+7
B, X =7 x 100 000 + 7 x 10 000 + 8 x 100 + 5
C, X= 4 x 10 000 +6 x 100 + 3 x 10
D, X= 1 x 100 000 + A x 1000 + 2 x100 + 1 x 10 + B
MONG CAC BAN LAM GIUP MINH
1005 : 1003 = ?
102 . 101 =?
500200 . 50010 =?
105 . 102 = ?
10030 . 10010 = ?
200100 : 20010 = ?
10020 . 10010 = ?
300100 . 300100 = ?
1005 : 1003 = 1002
102 . 101 = 103
500200 . 50010 = 500210
105 . 102 = 107
10030 . 10010 = 10040
200100 : 20010 = 20090
10020 . 10010 = 10030
300100 . 300100 = 300200
1005 : 1003
= 1005 - 3
= 1002
102 . 101
= 102 + 1
= 103
500200 . 50010
= 500200 + 10
= 500210
105 . 102
= 105 + 2
= 107
10030 . 10010
= 10030 + 10
= 10040
200100 : 20010
= 200100 - 10
= 200190
10020 . 10010
= 10020 + 10
= 10030
300100 .300100
= 300100 + 100
= 300200
7/10= ; 7/100=; 6 38/100=; 2014/1000=; 3/2=; 2/5=; 5/8=; 1 1/4=; 6 38/100=; 600/38=
\(\dfrac{7}{10}=0,7;\dfrac{7}{100}=0,07;6\dfrac{38}{100}=6,38;\dfrac{2014}{1000}=2,014;\dfrac{3}{2}=1,5;\dfrac{2}{5}=0,4;\dfrac{5}{8}=0,625;1\dfrac{1}{4}=1,25;6\dfrac{38}{100}=6,38\)