3+(-4)+5+(-6)+...+99+(-100).Làm bằng 3 cách
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1 tháng 8 2023
\(A=\dfrac{101\cdot\dfrac{102}{2}}{\left(101-100\right)+99-98+...+3-2+1}\)
\(=\dfrac{101\cdot51}{1+1+...+1}=\dfrac{101\cdot51}{51}=101\)
\(B=\dfrac{37\cdot43\left(101-101\right)}{2+4+...+100}=0\)
1 tháng 8 2023
a, \(A=\dfrac{101+100+99+98+...+3+2+1}{101-100+99-98+...+3-2+1}\)
Ta có: \(T=101+100+99+98+...+3+2+1\) \(=\dfrac{\left(101+1\right).101}{2}\)
\(=\dfrac{102.101}{2}\Leftrightarrow51.101\)
\(M=101-100+99-98+...+3-2+1\)
Ta có: \(101:2=50\) (dư \(1\))
\(\Rightarrow M=\left(101-100\right)+\left(99-98\right)+...+\left(3-2\right)+1\)
Có \(50\) dấu ngoặc tròn "\(\left(\right)\)"
\(\Rightarrow M=1+1+...+1+1=51.1=51\)
\(M\) có \(51\) số \(1\)
\(\Rightarrow A=\dfrac{T}{M}=\dfrac{51.101}{51}=101\)
Vậy \(A=101\)
b, \(B=\dfrac{3737.43-4343.37}{2+4+6+...100}\)
Ta có: \(T=3737.43-4343.37\)
\(T=37.101.43-43.101.37\)
\(T=0\)
\(\Rightarrow\) \(B=\dfrac{T}{2+4+6+...+100}=\dfrac{0}{2+4+6+...+100}\) \(=0\)
Vậy \(B=0\)
NH
1
19 tháng 2 2023
a: 34/56=17/28=1-11/28
42/53=1-11/53
mà 11/28>11/53
nên 34/56<42/53
b: 5/4=15/12; 7/6=14/12; 5/6=10/12
=>5/4>7/6>5/6
c: 4/3>1>99/100
NP
1
CM
15 tháng 1 2019
=(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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NV
2
TT
20 tháng 9 2021
$1-2+3-4+5-6+.....+97-98+99-100+101$
$= (1-2) + (3-4) + (5-6) + ...... + (99-100) + 101
$= (-50) + 101$
$= 51$
BT
1
30 tháng 11 2015
dặt bt trên là A ta có
A=1+(2+101)-(3+100)+..=1+0-0+..=1
23 tháng 1 2017
Nhiều thế bạn
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Đăng nhiều thế này làm sao mà xong kịp được
2 tháng 8 2019
a) = {[(101-2): 1+ 1] : 2 x ( 101+ 2)
= 5150
b) = {[ (104-4): 2+1]: 2x ( 104+4)}
=2.754
c) Cứ theo cách đó mà làm nhé