tính 1+2-3-4+5+6-..-96+97+98-99-100
làm theo cách ghép 4 số hạng vào 1 nhóm
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Những câu hỏi liên quan
10 tháng 3 2020
a) 1+(-2)+3+(-4)+..+19+(-20) {có 20-1+1=20(số hạng)}
= [1+(-2)]+[3+(-4)]+..+[19+(-20)] {có 20:2 = 10(tổng)}
=(-1)+(-1)+...+(-1) {có 10 số hạng}
=(-1).10
= -10
TT
1/2 + 2/3 + 3/4 + 4/5 + 5/6 + 6/7 + 7/8 + 8/9 + ........+ 95/96 + 96/97 + 97/98 + 98/99 + 99/100 = ?
4
15 tháng 7 2016
Số các số hạng là:
(2000 - 100) : 1 + 1 = 1901
Tổng là:
(2000 + 100) x 1901 : 2 = 1996050
Đáp số : 1996050
2 tháng 1 2016
a) số các số là:
(99-1)/2+1=50(số)
tổng các số là:
(99+1)*50/2=2500
b) số các số là:
(99-1)/1+1=99(số)
tổng các số là:
(99+1)*99/2=4950
c) số các số là:
(102-2)/2=51(số)
tổng các số là:
(102+2)*51/2=2652
Đáp số: a)2500
b)4950
c)2652
14 tháng 12 2015
1) 1 + 2 + 3 + 4 + ........ + 99
= 99 . (99 + 1) : 2
= 99 . 100 : 2
= 99.50 = 4950
12 tháng 1 2017
mình chỉ biết câu b thôi
b , 1+2-3-4+5+6-7-8+.......+97+98-99-100+101
=1+(2-3-4+5)+(6-7-8+9)+......+(98-99-100+101)
=1+0+0+.....+0
=1
bạn nè có viết thiếu đề ko rứa nếu mình sửa lại đề thi bài mình làm đúng rồi đó
18 tháng 3 2018
b)1+2-3-4+5+6-7-8+.....+97+98-99-100
=(1+2-3-4)+(5+6-7-8)+...+(97+98-99-100)
=-4+(-4)+...+(-4)
mà biểu thức có 25 nhóm
=>biểu thức=25(-4)=-100
24 tháng 12 2014
gọi tổng đó là A
A=99+(98-97)+(96-95)+...+(6-5)+(4-3)+(2-1)
ta thấy từ 1 đến 98 có 98 số hạng
mà 2 số là 1 nhóm nên sẽ có là 98:2=49(nhóm)
nên A=99+1+1+...+1+1+1
A=99+(1x49)=99+49
Vậy A=148
18 tháng 9 2017
Số số hạng của tổng trên là :
(100 - 1) : 1 + 1 = 100 (số hạng)
Tổng của các số từ 1 đến 100 là :
(100 + 1) x 100 : 2 = 5050
Đáp số : 5050
18 tháng 9 2017
1, số số hạng là :
(100 - 1) + 1=100 (số)
Tổng là :
( 100 + 1 )x 100 : 2 = 5050
=(1+98-99-100)+(2-3-4+5)+(6-7-8+9)+...+(95-96-97+98)
=-100+0+0+0+0+0.........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................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