4.(3X3+110)=4.52
4+4.5+4.52+...4.599+4.5100 Chia 5101-1
\(4+4\cdot5+4\cdot5^2+...+4\cdot5^{100}\\ =4\left(1+5+5^2+...+5^{100}\right)\left(1\right)\)
Đặt \(A=1+5+5^2+...+5^{100}\)
\(\Leftrightarrow5A=5+5^2+...+5^{101}\\ \Leftrightarrow4A=5^{101}-1\\ \Leftrightarrow A=\dfrac{5^{101}-1}{4}\)
Thay vào (1)
\(\left(1\right)=4\cdot\dfrac{5^{101}-1}{4}=5^{101}-1:5^{101}-1=1\)
Vậy \(4+4\cdot5+4\cdot5^2+...+4\cdot5^{100}:5^{101}-1=1\)
(15.25+8.76*4.52+6.7)*(97*8-97*3-97*4-97) tính bằng cách thuận tiện nhất
Thực hiện phép tính:
a) 49 - 9 . [ 34 : 31 - ( 12 - 4 ) : 22 ]
b) 4.52 + 16 : 22
c) 53 : 5 - 20170
d) 22 . 3 - ( 100 + 8 ) : 32
a) 49 - 9 . [ 34 : 31 - ( 12 - 4 ) : 22 ]
= 49 - 9 . [ 33 - 8 : 22 ]
= 49 - 9 . [ 33 -23 : 22 ]
= 49 - 9 . [ 33 - 2 ]
= 49 - 9 . [ 27 - 2 ]
= 49 - 9 . 25
= 49 - 225 = -176
b) 4.52 + 16 : 22
= 4. 25 + 24 : 22
= 100 + 22 = 100+ 4 =104
--tho--là tớ💋
c) 53 : 5 - 20170
= 52 - 1 = 25 - 1= 24
d) 22 . 3 - ( 100 + 8 ) : 32
= 4. 3 - ( 1 + 8 ) : 32
= 4. 3 - 9 : 32
= 12 - 32 : 32
= 12 - 1 = 11.
--tho--là tớ💋
80 – (4.52 – 3.23).
4.52- 32 : 24
\(4\cdot5^2-32:2^4\)
\(=4\cdot25-32:16\)
\(=100-2\)
\(=98\)
Thực hiện phép tính:
a, 80 - 4 . 5 2 - 3 . 2 3
b, 5 6 : 5 4 + 2 3 . 2 2 - 1 2018
c, [36.4 – 4. 82 - 7 . 11 2 ]:4 – 2019 0
d, 303 – 3.{[655 – (18:2+1). 4 3 +5]}: 10 0
a, 80 - 4 . 5 2 - 3 . 2 3
= 80 – (4.25 – 3.8)
= 80 – 76 = 4
b, 5 6 : 5 4 + 2 3 . 2 2 - 1 2018
= 5 2 + 2 5 - 1
= 25 + 32 – 1 = 56
c, [36.4 – 4. 82 - 7 . 11 2 ]:4 – 2019 0
= (144 – 4. 5 2 ):4 – 1
= (144 – 100):4 – 1
= 11 – 1 = 10
d, 303 – 3.{[655 – (18:2+1). 4 3 +5]}: 10 0
= 303 – 3.(655 – 10.64 + 5):1
= 303 – 10 = 293
Tính hợp lý nhất có thể:
a)24.35 + 65.24 -1400
b) 32 : 24 - 4.52
c)17 + 75:[30 - 5.(72 - 48)]
d) (-138) - [258 + 4.(-36)].20240
a: \(24\cdot35+65\cdot24-1400\)
\(=24\left(35+65\right)-1400\)
\(=24\cdot100-1400=2400-1400=1000\)
b: \(32:2^4-4\cdot5^2\)
\(=\dfrac{32}{16}-4\cdot25\)
=2-100
=-98
c: \(17+75:\left[30-5\cdot\left(7^2-48\right)\right]\)
\(=17+75:\left[30-5\cdot\left(49-48\right)\right]\)
\(=17+75:\left[30-5\right]\)
\(=17+\dfrac{75}{25}=17+3=20\)
d: \(\left(-138\right)-\left[258+4\cdot\left(-36\right)\right]\cdot2024^0\)
\(=-138-\left[258-144\right]\)
\(=-138-114\)
=-252
17.64 - 4.52 -3. 12
17.64-4.52-3.12=1008-208-36=764
#Monster
Thực hiện phép tính:
a) 80 - ( 4 . 5 2 - 3 . 2 3 )
b) [ 36 . 4 - 4 . ( 82 - 7 . 11 ) 2 ] : 4 - 201 9 0
c) 5 6 : 5 4 + 2 3 . 2 2 - 1 2018
d) 303 - 3 . { [ 655 - ( 18 : 2 + 1 ) . 4 3 + 5 ] } : 10 0
a) 80-(4.52-3.23)=80-100+24=4
b)[36.4-4.(82-7.11)2]:4-20190
={4.[36-(82-7.11)2]}:4-1
=[36-(82-7.11)2]-1
=11-1=10
c)56:54+23.22-12018
=52+25-1
=25+32-1=56
d)303-3.{[655-(18:2+1).43+55]}:100
=303-3.[(655-9-1).43+55]:1
=303-3[655-640+5]
=303-3(20)
=303-60=243