Tinh hop li:
a) 28 .( 231 + 69 ) + 72 . ( 231 + 69 )
b) 1 + 2 - 3 - 4 + 5 + 6 -7 -8 + ..... 299 - 300 + 301 + 302
c) 1 + 2 + 22 + 23 + 24 + ..... + 299 + 2100
d) 5 + 53 + 55 + ..... + 597 + 599
Nho cac ban giai gium !!!
Tính hợp lí
a) A = 1 + 2 + 2 2 + 2 3 + 2 4 + . . . + 2 99 + 2 100 .
b) B = 5 + 5 3 + 5 5 + . . . + 5 97 + 5 99 .
Tính hợp lí:
a, A = 1 + 2 + 2 2 + 2 3 + 2 4 + . . . + 2 99 + 2 100
b, B = 5 + 5 3 + 5 5 + . . . + 5 97 + 5 99
a, Ta có :
A = 1 + 2 + 2 2 + 2 3 + 2 4 + . . . + 2 99 + 2 100
2A = 2 + 2 2 + 2 3 + 2 4 + . . . + 2 99 + 2 100 + 2 101
A = 2A – A = ( 2 + 2 2 + 2 3 + 2 4 + . . . + 2 99 + 2 100 + 2 101 ) –( 1 + 2 + 2 2 + 2 3 + 2 4 + . . . + 2 99 + 2 100 )
= 2 + 2 2 + 2 3 + 2 4 + . . . + 2 99 + 2 100 + 2 101 – 1 - 2 - 2 2 - 2 3 - 2 4 - . . . - 2 99 - 2 100
= 2 101 - 1
Vậy A = 2 101 - 1
b, Ta có.
B = 5 + 5 3 + 5 5 + . . . + 5 97 + 5 99
5 2 B = 5 2 ( 5 + 5 3 + 5 5 + . . . + 5 97 + 5 99 )
25B = 5 3 + 5 5 + . . . + 5 97 + 5 99 + 5 101
25B – B = ( 5 3 + 5 5 + . . . + 5 97 + 5 99 + 5 101 ) – ( 5 + 5 3 + 5 5 + . . . + 5 97 + 5 99 )
24B = 5 3 + 5 5 + . . . + 5 97 + 5 99 + 5 101 – 5 - 5 3 - 5 5 - . . . - 5 97 - 5 99
24B = 5 101 - 5
B = 5 101 - 5 24 = 5 5 100 - 1 24
Vậy B = 5 5 100 - 1 24
thuc hien phep tinh
a, 28(231+69) + 72(231+69)
b, 2017 - { 52 . 22 - 11 .[72 - 5.23 + 8 . ( 112 - 121 )
c, 1+ 8 + 15 + 22 + 29 + ...... + 407 + 414
GIUP MIK VS NHE
AI NHANH MIK CHO K
b) -418- {-418-[-418-(-418)+2021]}
c)1-2-3+4+5-6-7-8+...+21-22-23+24
d) 23-501-343+61-257+16-499
e)743-231+(-495)-(-69)-38+(-117)
NHANH GIÚP MIK NHA
b, -418 - {- 418 - [ -418 - (-418) + 2021]}
= -481 - { -418 - [ 0 + 2021]}
= -481 + 418 + 2021
= 2021
d, 23 - 501 - 343 + 61 - 257 + 16 - 499
= (23 + 61 + 16) - (501 + 499) - (343 + 257)
= 100 - 1000 - 600
= 100 - 1600
= -1500
e, 743 - 231 + (-495) - (-69) - 38 + (-117)
= 512 - 426 - 155
= 86 - 155
= - 69
a) 100 + 98 + 96 + ... + 2 - 97 - 95 - ... - 1
b) 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + 10 - 11 - 12 + ... + 299 - 300 + 301 + 302
c) 2 . 31 . 12 + 4 .6 . 42 + 8 . 27 . 3
d) 36 . 28 + 36 . 82 + 64 . 69 + 64 . 41
e) 99 - 97 + 95 - 93 + 91 - 89 + ...+ 7 - 5 + 3 - 1
a, 100 + 98 + 96 + ... + 2 - 9 7 - 95 - .. -1
= 100 + (98 - 97) + (96-95) + ... + + ... + (2 - 1)
= 100 + 1 + 1 + 1 +.. +1
= 100 + 1 x49
= 100 + 49
= 149
b , 1 + 2 - 3 - 4 + 5 + 6 - .... -299 - 330 +301 + 302
=( 1 + 2 - 3) + ( -4 + 5 + 6 -7 ) +... +(298 - 299 -300 +301 ) + 302
= 0 + 0 + .. + 0 + 302
= 302
c) 2 . 31 . 12 + 4 . 6 . 42 + 8 . 27 . 3
=24.31+24.42+24.27
=24.(31+42+27)
=24.100
=2400
d)
=36x(28+82)+64x(69+41)
=36x110+64x110
=110x(26+64)
=110x100
=11000
d) dãy tính trên có số số tự nhiên là: (99-1):2+1=50(số)
99-97+95-93+91-89+...+7-5+3-1(50:2=25 cặp)
(99-97)+(95-93)+(91-89)+...+(7-5)+(3-1) (25 cặp)
2+2+2+2+2+...+2+2(25 số 2)
2x25=50
B=1+2-3-4+5+6-7-8+.............-299-300+301
Tinh nhanh
A = 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + 10 - 11 - 12 + ......... + 299 - 300 + 301 + 302
\(=\left(1+2-3-4\right)+\left(5+6-7-8\right)+\left(9+10-11-12\right)+...+\)
\(\left(297+298-299-300\right)+301+302\)
\(=-4.75+603\)
\(=-300+603\)
\(=303\)
Tinh nhanh: M=1+2-3-4+5+6-7-8+9+10-11-12+...+...298-299-300+301+302
M=1+2-3-4+5+6-7-8+9+10-11-12+....+....298-299-300+301+302
M=1+(2-3-4+5)+(6-7-8+9)+(10-11-12+13)+........+(298-299-300+301)+302
M=1+0+0+0+.........................+0+302
M=303
Tinh nhanh: M=1+2-3-4+5+6-7-8+9+10-11-12+...+...298-299-300+301+302
M=1+2-3-4+5+6-7-8+9+10-11-12+....+....298-299-300+301+302
M=1+(2-3-4+5)+(6-7-8+9)+(10-11-12+13)+........+(298-299-300+301)+302
M=1+0+0+0+.........................+0+302
M=303
làm theo công thức tính ngược từ dưới lên
B= 1+2-3-4+5+6-7-8+...-299-300+301+302