1 x 2 + 2 x 3 + 3 x 4 + ... + 41 x 42 + 42 x 43
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Dãy số có 2 chữ số chia hết cho 3 là:[12,15,....,99]
Khoảng cách của từng số hạng là 3
Số số hạng là: (99-12):3+1=30(số)
Vậy có 30 số có 2 chữ số chia hết cho 3
Theo đề bài :
Vì số cuối là 3072 nên tổng các số trên là 3072
( 3072 + 1 ) x 3072 : 2 = 4720128
Đáp số: 4720128
~~Hok tốt~~
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,\(456\div2\times181456\div3-102\)
\(=228\div3\times181456-102\)
\(=76\times181456-102\)
\(=13790656-102\)
\(=13790554\)
(273+485)*16-483:3*4
=758*16-483:3*4
=12128-161*4
=12128-644
=11484
nhớ cick cho mk nhé bạn!
\(\frac{70}{3}\left(\frac{39}{30}+\frac{39}{42}\right)-\frac{246}{7}\div\left(\frac{41}{56}+\frac{41}{72}\right)\)
\(=\frac{70}{3}\left(\frac{13}{10}+\frac{13}{14}\right)-\frac{246}{7}\div\left(\frac{41}{7\cdot8}+\frac{41}{8\cdot9}\right)\)
\(=\frac{70}{3}\left(1+\frac{3}{10}+1-\frac{1}{14}\right)-\frac{246}{7}\div\left(\frac{40+1}{7\cdot8}+\frac{40+1}{8\cdot9}\right)\)
\(=\frac{70}{3}\left[\left(1+1\right)+\left(\frac{3}{10}-\frac{1}{14}\right)\right]-\frac{246}{7}\div\left(\frac{5}{7}+\frac{1}{7\cdot8}+\frac{5}{9}+\frac{1}{8\cdot9}\right)\)
\(=\frac{70}{3}\left(2+\frac{8}{35}\right)-\frac{246}{7}\div\left[\frac{5}{7}+\frac{5}{9}+\left(\frac{1}{7\cdot8}+\frac{1}{8\cdot9}\right)\right]\)
\(=\frac{70}{3}\cdot\frac{78}{35}-\frac{246}{7}\div\left[\frac{5}{7}+\frac{5}{9}+\left(\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}\right)\right]\)
\(=\frac{35\cdot2\cdot26\cdot3}{3\cdot35}-\frac{246}{7}\div\left(\frac{5}{7}+\frac{5}{9}+\frac{1}{7}-\frac{1}{9}\right)\)
\(=52-\frac{246}{7}\div\left[\left(\frac{5}{7}+\frac{1}{7}\right)+\left(\frac{5}{9}-\frac{1}{9}\right)\right]\)
\(=52-\frac{246}{7}\div\left(\frac{6}{7}+\frac{4}{9}\right)\)
\(=52-\frac{246}{7}\div\frac{82}{63}\)
\(=52-\frac{82\cdot3\cdot9\cdot7}{7\cdot82}\)
\(=52-27=25\)
\(\frac{57}{20}-\frac{26}{15}+\frac{139}{20}\div3\)
\(=\frac{57}{20}-\frac{26}{15}+\frac{139}{60}\)
\(=\frac{171}{60}-\frac{104}{60}+\frac{139}{60}=\frac{103}{30}\)
\(\frac{39}{4}+\frac{2}{3}\left(11-\frac{23}{4}\right)\)
\(=\frac{39}{4}+11\cdot\frac{2}{3}-\frac{23}{4}\cdot\frac{2}{3}\)
\(=\frac{39}{4}+\frac{22}{3}-\frac{56}{12}\)
\(=\frac{119}{12}+\frac{88}{12}-\frac{56}{12}=\frac{151}{12}\)
\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{2002}\right)\left(1-\frac{1}{2003}\right)\left(1-\frac{1}{2004}\right)\)
\(=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot...\cdot\frac{2001}{2002}\cdot\frac{2002}{2003}\cdot\frac{2003}{2004}\)
\(=\frac{1\cdot2\cdot3\cdot...\cdot2001\cdot2002\cdot2003}{2\cdot3\cdot4\cdot...\cdot2002\cdot2003\cdot2004}=\frac{1}{2004}\)
Bài 1: Máy tính nha bạn
Bài 2
a)\(137.6+63.6+200.4\)
\(=6\left(137+63\right)+200.4\)
\(=6.200+200.4\)
\(=200.\left(6+4\right)=200.10=2000\)
b)\(42.43+43.57+43\)
\(=43\left(42+57+1\right)\)
\(=43.100=4300\)
c)\(754.75-2262.25+4568\)
=\(754.3.25-2262.25+4568\)
\(=2262.25-2262.25+4568\)
\(=0+4568=4568\)
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 = 1 x 2 + 2 x 3 + 3 x 4 + ...+ 41 x 42 + 42 x 43
A = \(\dfrac{1}{3}\) x (1 x 2 x 3 + 2 x 3 x 3 + ... + 42 x 43 x 3)
A = \(\dfrac{1}{3}\) x [1 x 2 x 3 + 2 x 3 x (4 - 1)+ ... + 42 x 43 x (44 - 41)]
A = \(\dfrac{1}{3}\) x [1 x 2 x 3 + 2 x 3 x 4 -1 x 2 x 3+...+ 42 x 43 x 44 - 42x43x41]
A = \(\dfrac{1}{3}\) x [42 x 43 x 44]
A = \(\dfrac{42}{3}\) x 43 x 44
A = 14 x 43 x 44
A = 602 x 44
A = 26488
co oi cho con hoi 1 phan 3 lay o dau a