rút gọn B= 1-4+42-43+...+456-457
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bài 3 : tính nhanh
a) (42*43+43*57+43)-360:4
ngoặc vuông43.(42+57+1) ngoặc vuông -90
43.100-90
4300-90
4210
b.
a) (42*43 + 43*57 + 43) - 360:4
= 43*(42+57+1) - 90
= 43*100 - 90
= 4300 - 90
= 3410
a) \(\left(42\times43+43\times57+43\right)-360:4\)
\(=43\times\left(42+57+1\right)-90\)
\(=43\times100-90\)
\(=4300-90\)
\(=4210\)
b) \(\left(372-19\times4\right)+\left(981:9-13\right)\)
\(=\left(4\times93-19\times4\right)+\left(109-13\right)\)
\(=4\times\left(93-19\right)+109-13\)
\(=4\times74+109-13\)
\(=296+109-13\)
\(=392\)
c) \(456:2\times18+456:3-102\)
\(=456\times\frac{1}{2}\times18+456\times\frac{1}{3}-102\)
\(=456\times\left(\frac{1}{2}\times18+\frac{1}{3}\right)-102\)
\(=456\times\left(9+\frac{1}{3}\right)-102\)
\(=456\times\frac{28}{3}-102\)
\(=4256-102\)
\(=4154\)
ko bk tính nhanh!
a)( 42 x 43 + 57+43 ) - 360 :4 b) (372 - 19 x 4 ) + ( 981 : 9 - 13 )
= 43 x (42 + 57 +1 ) - 90 = (372 - 76 ) + ( 109 - 13)
= 43 x 100 - 90 = 296 + 96
= 4300 - 90 = 392
= 4210
A) ( 42 x 43 + 43 x 57 + 43 ) - 360 : 4
= ( 42 x 43 + 43 x 57 + 43 x 1 ) - 360 : 4
= [ 43 x ( 42 + 57 + 1 ) ] - 360 : 4
= ( 43 x 100 ) - 360 : 4
= 4300 - 360 : 4
= 4300 - 90
= 4210
B) 322 - 19 x 4 + ( 981 : 9 - 13 )
= 322 - 19 x 4 + ( 109 - 13 )
= 322 - 19 x 4 + 96
= 322 - 76 + 96
= 246 + 96
= 342
C) 450 : 2 x 18 + 456 : 3 - 120
= 225 x 18 + 152 - 120
= 4050 + 152 - 120
= 4202 - 120
= 4082
phép tính này có quy tắc :
nhân chia trước, cộng trừ sau.
trong ngoặc trc ngoài ngoặc sau
tíc mình nha
(42 x 43 + 43 x 57 + 43) - 360 : 4
= 4426549 - 360 : 4
= 4426549 - 90
= 4426459
(372 - 19 x 4 + (981 : 9 - 13)
= 296 + 96
= 392
456 : 2 x 18 + 456 : 3 - 102
= 4104 + 50
= 4154
>_< học tốt
= [43 x ( 42 + 57 + 1)] - 90
= (43 x 100) -90
= 4300 - 90
= 4210
a,( 42 x 43 + 43 x 57 + 43 ) - 360 : 4
= [ 43 x ( 42 + 57 + 1 ) ] - 90
= [ 43 x 100 ] - 90
= 4300 - 90
= 4210
b, 372 - 19 x 4 - 981 : 9 - 13
= 372 - 76 - 109 - 13
= 174
c, 452 : 2 x 18 - 456 : 3 - 102
= 226 x 18 - 152 - 102
= 4068 - 152 - 102
= 3814
Ta có:
A = (457/1 + 1) + (456/2 + 1) + ... + (2/456 + 1) + (1/457 + 1) - 457
A = 458 + 458/2 + ... + 458/456 + 458/457 - 457
A = 458 (1 + 1/2 + ...+ 1/456 + 1/457) - 457
Xét 1 + 1/2 + ... + 1/456 + 1/457, ta có
1 = 1
1/2 = 1/2
1/3 + 1/4 > 1/4 + 1/4 = 1/2
1/5 + 1/6 + ... + 1/8 > 1/8 + 1/8 + ... + 1/8 = 1/2
1/9 + 1/10 +...+ 1/16 > 1/16 + 1/16 +...+ 1/16 = 1/2
1/17 + 1/18 + ... + 1/32 > 1/32 + ... + 1/32 = 1/2
1/33+ 1/34 + ... + 1/64 > 1/64 + ...+ 1/64 = 1/2
1/65 + 1/66 + ...+ 1/128 > 1/128 + ... + 1/128 = 1/2
1/129 + 1/130 + ... + 1/256 > 1/256 + ...+ 1/256 = 1/2
1/257 + 1/258 + ... + 1/457 > 1/457 + ... + 1/457 = 201/457 > 0,4
Vậy 1 + 1/2 + ... + 1/456 + 1/457 > 1 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 0,4 = 5,4
Vậy A > 458*5,4 - 457 = 2016,2
Vậy A > 2016.
Ta có:
A = (456/2 + 1) + ... + (2/456 + 1) + (1/457 + 1) + 1
A = 458 + 458/2 + ... + 458/456 + 458/457 - 458/458
A = 458 (1/2 + ...+ 1/456 + 1/457 + 1/458)
Xét 1/2 + ... + 1/456 + 1/458, ta có
1/2 = 1/2
1/3 + 1/4 > 1/4 + 1/4 = 1/2
1/5 + 1/6 + ... + 1/8 > 1/8 + 1/8 + ... + 1/8 = 1/2
1/9 + 1/10 +...+ 1/16 > 1/16 + 1/16 +...+ 1/16 = 1/2
1/17 + 1/18 + ... + 1/32 > 1/32 + ... + 1/32 = 1/2
1/33+ 1/34 + ... + 1/64 > 1/64 + ...+ 1/64 = 1/2
1/65 + 1/66 + ...+ 1/128 > 1/128 + ... + 1/128 = 1/2
1/129 + 1/130 + ... + 1/256 > 1/256 + ...+ 1/256 = 1/2
1/257 + 1/258 + ... + 1/458 > 1/458 + ... + 1/458 = 202/458
Vậy 1/2 + ... + 1/456 + 1/457 > 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 202/458 = 4 + 202/458 = 2034/458
Vậy A > 458*2034/458 = 2034
Vậy A > 2016.
(42 x 43 + 43 x 57 + 43) - 360 : 4
=(42 x 43 +43 x 57 + 43 x 1) - 360 : 4
= 43 x (42 + 57 + 1) - 360 :4
=43 x 100 - 360 : 4
=4300 - 90
=4210
b 456 : 2 x 18 + 456 :3 -102
=456 x (18:2) + 456 :3 -102
=456 x 9 + 456 : 3 - 102
=5154 +102 - 102
=5154+0
=5154
bai 2 :
gọi số cần tìm là ab
ta có : 5ab =26ab
500 +ab =26ab
25ab =500ab
ab=500:25
ab =20
a. 64 x 25 + 35 x 25 + 25
= 64 x 25 + 35 x 25 + 25 x 1
= 25 x ( 64 + 35 + 1 )
= 25 x 100
= 2500
b. 58 x 42 + 32 x 8 + 5 x 16
c. ( 42 x 43 + 57 x 43 + 43 ) - 360 : 4
= 42 x 43 + 57 x 43 + 43 x 1 - 90
= 43 x ( 42 + 57 +1 ) - 90
= 43 x 100 - 90
= 4300 - 90
= 4210
d. 456 : 2 x 181456 : 3 - 102
Trả lời:
a,\(64\times25+35\times25+25\)
\(=25\times\left(64+35+1\right)\)
\(=25\times100\)
\(=2500\)
b,\(58\times42+32\times8+5\times16\)
\(=2436+256+80\)
\(=2772\)
c,\(\left(42\times43+57\times43+43\right)-360\div4\)
\(=43\times\left(42+57+1\right)-90\)
\(=43\times100-90\)
\(=4300-90\)
\(=4210\)
d,\(456\div2\times181456\div3-102\)
\(=228\div3\times181456-102\)
\(=76\times181456-102\)
\(=13790656-102\)
\(=13790554\)
B=1-4+42-43+...+456-457
=> -4B=-4+42-43+44+...+456-457+458
=> B-(-4B) = 1+(-4+42-43+...+456-457)-(-4+42-43+44+...+456-457+458)
<=> 5B=1-458
=> \(B=\frac{1-4^{58}}{5}\)