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A= 1+2+22+23+.......+298+299
A= (1+2)+(22+23)+.......+(298+299 )
A=3+22.(1+2)+...+298.(1+2)
A= 3+22.3+...+298.3
A=3.(22+...+298)
Vid 3 chia hết cho 3 nên A chia hết cho 3
Đơn giản như đang giỡn
HT
bài 1 : thực hiện phép tính
a) 3.52+15.22-26:2
= 3.25 + 15.4 - 26 : 2
= 75 + 60 - 13
= 135 - 13
= 122
b) 20:22+59:58
= 20:4 + 5
= 5 + 5
= 10
c) 100:52+7.32
= 100:25 + 7.9
= 4 + 63
= 67
d) 295-(31-22.5)2
= 295-(31-4.5)2
= 295 - 112
= 295 - 121
= 174
e) (-47)-[(45.24-52.12):14]
= (-47)-[(45.16-25.12):14]
= (-47)-[(720-300):14]
= (-47)-( 420:14 )
= (-47) - 30
= -77
f) (-2011)+5.[300-(17-7)2]
= (-2011)+5.(300-102)
= (-2011)+5.(300-100)
= (-2011)+5.200
= (-2011)+1000
= -1011
g) 5.[29-(6-1)2]-129
= 5.(29-52)-129
= 5.(29-25)-129
= 5.4-129
= 20-129
= -109
Đúng thì tik cái nha ! Thanks nhiều !
a) 1 - 2 + 3 - 4 + 5 - 6 + .....+ 25 - 26
= (1 - 2) + (3 - 4) + (5 - 6) + .....+ (25 - 26)
= -1 + (-1) + ( -1 ) +...+ ( -1 ) {có 13 số )
= -13
b) tương tự nhé bn
a. S = 1 + 2 + 2^2 + 2^3 + ... + 2^8 + 2^9
Ta có: 2 = 1 . 2
2^2 = 2 . 2
2^3 = 2^2 . 2
.....
=> 1 + 2 + 2^2 + ... + 2^8 + (2^8 . 2)
=> 1 + 2 + 2^2 + ... + (2^8 . 3)
=> 1 + 2 + 2^2 + ... + 2^7 + (2^7 .6)
=> 1 + 2 + 2^2 + ... + (2^7 . 7)
=> .....
=> 1 + 2 . 311
i) \(2345-1000\div\left[19-2\left(21-18\right)^2\right]\)
\(=\)\(2345-1000\div\left[19-2.3^2\right]\)
\(=\)\(2345-1000\div\left[19-2.9\right]\)
\(=\)\(2345-1000\div\left[19-18\right]\)
\(=\)\(2345-1000\div1\)
\(=\)\(2345-1000\)
\(=\)\(1345\)
j) \(128-\left[68+8\left(37-35\right)^2\right]\div4\)
\(=\)\(128-\left[68+8.2^2\right]\div4\)
\(=\)\(128-\left[68+8.4\right]\div4\)
\(=\)\(128-\left[68+32\right]\div4\)
\(=\)\(128-100\div4\)
\(=\)\(128-25\)
\(=\)\(3\)
k) \(568-\left\{5\left[143-\left(4-1\right)^2\right]+10\right\}\div10\)
\(=\)\(568-\left\{5\left[143-3^2\right]+10\right\}\div10\)
\(=\)\(568-\left\{5\left[143-9\right]+10\right\}\div10\)
\(=\)\(568-\left\{5.134+10\right\}\div10\)
\(=\)\(568-\left\{670+10\right\}\div10\)
\(=\)\(568-680\div10\)
\(=\)\(568-68\)
\(=\)\(500\)
a) \(107-\left\{38+\left[7.3^2-24\div6+\left(9-7\right)^3\right]\right\}\div15\)
\(=\)\(107-\left\{38+\left[7.3^2-24\div6+2^3\right]\right\}\div15\)
\(=\)\(107-\left\{38+\left[7.9-4+8\right]\right\}\div15\)
\(=\)\(107-\left\{38+\left[63-4+8\right]\right\}\div15\)
\(=\)\(107-\left\{38+67\right\}\div15\)
\(=\)\(107-105\div15\)
\(=\)\(107-7\)
\(=\)\(7\)
b) \(307-\left[\left(180-160\right)\div2^2+9\right]\div2\)
\(=\)\(307-\left[20\div4+9\right]\div2\)
\(=\)\(307-\left[5+9\right]\div2\)
\(=\)\(307-14\div2\)
\(=\)\(307-7\)
\(=\)\(300\)
c) \(205-\left[1200-\left(4^2-2.3\right)^3\right]\div40\)
\(=\)\(205-\left[1200-\left(16-6\right)^3\right]\div40\)
\(=\)\(205-\left[1200-10^3\right]\div40\)
\(=\)\(205-\left[1200-1000\right]\div40\)
\(=\)\(205-200\div40\)
\(=\)\(205-5\)
\(=\)\(200\)
S = 1 + 3 + 32 + 33 + ... + 38 + 39
S = ( 1 + 3 ) + ( 32 + 33 ) + ... + ( 38 + 39 )
S = 4 + ( 1 . 32 + 3 .32 ) + .. + ( 1. 38 + 3 . 38 )
S = 4 + 4 .32 + .. + 4 . 38
S = 4 ( 1 + 32 + ... + 38 ) \(⋮\)4
Vậy S \(⋮\)4 ( đpcm )
Học tốt
#Dương
S = 1 + 3 + 32 + 33 + 34+35+ 36 + 37 + 38+39
S=( 1 + 3)+(32 + 33)+(34+35)+(36 + 37)+(38+39)
s=4+32.(3+1)+32.(3+1)+34.(3+1)+36.(3+1)+38.(3+1)
S=4.(1+32+34+36+38)
CHIA HẾT CHO 4
\(...3.25+15.4-13=75+60-13=122\)
Tại sao lại bằng 75 và 60 v ạ Nguyễn đức trí?