1*2+2*3+3*4+...+68*69
Tính tổng: 1 . 2 + 2 . 3 + ........... + 68 . 69 + 69 . 70
\(A=1\cdot2+2\cdot3+...+68\cdot69+69\cdot70\)
\(3A=1\cdot2\cdot3+2\cdot3\cdot\left(4-1\right)+...+69\cdot70\cdot\left(71-68\right)\)
\(3A=1\cdot2\cdot3+2\cdot3\cdot4-1\cdot2\cdot3+...+69\cdot70\cdot71-68\cdot69\cdot70\)
\(3A=69\cdot70\cdot71\Rightarrow A=\dfrac{69\cdot70\cdot71}{3}=114310\)
Đặt tính rồi tính
a)68 : 2 69 : 3 44 : 4 99 : 3
............ ............ ........... ...........
............ ............ ........... ...........
............ ............ ........... ...........
b)42 : 6 45 : 5 36 : 4 16 : 2
............ ............ ........... ...........
............ ............ ........... ...........
............ ............ ........... ...........
1 1 1=6
2 2 2=6
3 3 3=6
4 4 4=6
5 5 5=6
6 6 6=6
7 7 7=6
8 8 8=6
9 9 9=6
10 10 10=6
(Làm gì đó để phép tính bằng 6)
Ý bạn là mỗi phép tính phải thêm dấu và ....để kết quả bằng 6 phải không ạ
(1+1+1)×2=6
2+2+2=6
3×30+3=6
(4+4+4)÷2=6
(50+50+50)×2=6
6×60×60=6
7-70×70=6
8-(80+80)=6
(90+90+90)×2=6
(100+100+100)×2=6
\(A=\frac{1}{71}+\frac{2}{70}+\frac{3}{69}+\frac{4}{68}+...+\frac{70}{2}+\frac{71}{1};B=\frac{1}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+...+\frac{1}{71}+\frac{1}{72}}AxB=?\)
Cho B=1+4+4^2+4^3+......+4^68
a)Chứng minh:B chia hết cho 21
b)Chứng minh:B không chia hết cho 5
c)Chứng minh : (4^69-1) chia hết cho 3
\(B=\left(1+4+4^2\right)+...+\left(4^{66}+4^{67}+4^{68}\right)=21.1+...+21.4^{66}\)
\(B=21.\left(1+...+4^{66}\right)\)
Vậy tổng chia hết cho 21
a)0,75 + 15/6 : 5 - 1/36 . (-3)2 + (-2020/2021)
b)45. 94 - 2 . 69/210 . 38 + 68 . 20
b: \(\dfrac{4^5\cdot9^4-2\cdot6^9}{2^{10}\cdot3^8+6^8\cdot20}\)
\(=\dfrac{2^{10}\cdot3^8-2^{10}\cdot3^9}{2^{10}\cdot3^8+3^8\cdot2^{10}\cdot5}\)
\(=\dfrac{2^{10}\cdot3^8\left(1-3\right)}{2^{11}\cdot3^9}\)
\(=\dfrac{1}{2}\cdot\dfrac{-2}{3}=\dfrac{-1}{3}\)
Sửa đề câu a) phải là (-2020/2021)0
Xin lỗi mn
\(a,=\dfrac{3}{4}+\dfrac{15}{6}\cdot\dfrac{1}{5}-\dfrac{1}{36}\cdot9-\dfrac{2020}{2021}=\dfrac{3}{4}+\dfrac{1}{2}-\dfrac{1}{4}-\dfrac{2020}{2021}=1-\dfrac{2020}{2021}=\dfrac{1}{2021}\\ b,=\dfrac{2^{10}\cdot3^8-2\cdot2^9\cdot3^9}{2^{10}\cdot3^8+2^8\cdot3^8\cdot2\cdot5}=\dfrac{2^{10}\cdot3^8\left(1-3\right)}{2^9\cdot3^8\left(2+5\right)}=\dfrac{2\left(-2\right)}{3}=-\dfrac{4}{3}\)
Tính nhanh
a) (45-63+18) x (1+2+3+4+5+6+7+8+9)
b) 60-61+62-63+64-65+66-67+68-69+70
a. (45-63+18) x (1+2+3+4+5+6+7+8+9)
= 0 x (1+2+3+4+5+6+7+8+9) = 0
b. 60-61+62-63+64-65+66-67+68-69+70
= 60 + (-61-69)+(62+68)+(-63-67)+(64+66)-65+70
= 60 + (-130)+130+(-130)+130-65-70
= 60 + (-130+130) + (-130+130)-65+70
= 60 - 65 + 70 = 65
1. 27 x 75 + 25 x 75 - 150
2. 15 x 23 + 15 x 37 + 40 + 15
3. 4 x 9 x 14 + 3 x 17 x 12 + 2 x 69 x 18
4. 32 x ( 157 + 43) + 68 x ( 157 + 43)
1: \(=75\left(27+25-2\right)=75\cdot50=3750\)
2: \(=15\left(23+37\right)+55=15\cdot60+55=955\)
3: \(=36\cdot14+36\cdot17+36\cdot69\)
\(=36\cdot100=3600\)
4: \(=200\cdot\left(32+68\right)=200\cdot100=20000\)
1. Tính rồi rút gọn
a. 3/4 : 2/7 b. 3 : 3/5 c. 6/11 : 2/3 d. 15/4 : 5
2. Tìm y
a. 6/7 x y = 5/14 b. y : 2/3 = 4/9
Bài 1. Tính rồi rút gọn:
a) 3/4 : 2/7 = 3/4 x 7/2 = 21/8
b) 3 : 3/5 = 3/1 x 5/3 = 15/3 = 5
c) 6/11 : 2/3 = 6/11 x 3/2 = 18/22 = 9/11
d) 15/4 : 5 = 15/4 x 1/5 = 15/20 = 3/4
Bài 2. Tìm y:
a) 6/7 x y = 5/14
y = 5/14 : 6/7
y = 5/14 x 7/6
y = 35/84
b) y : 2/3 = 4/9
y = 4/9 x 2/3
y = 8/27
1.
a.3/4 : 2/7 = 21/8
b. 3 : 3/5 = 5
c.6/11 : 2/3 = 9/11
d. 15/4 : 5 = 3/4
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