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1-2+3-4+5-6+.....+99-100+101.
Ta viết lại tổng như sau:
101 - 100 + 99 - 98 + ... + 5 - 4 + 3 - 2 + 1
1 + 1 + ... + 1 + 1 + 1
Số phép trừ trong dãy tính là:
( 101 - 1 ) : 2 = 50 ( phép trừ )
Kết quả dãy số là:
1 x 50 + 1 = 51
Vậy: 1-2+3-4+5-6+.....+99-100+101.
= 51
1-2+3-4+5-6+...+99-100+101
= (1+3+5+...+101) - (2+4+6+...+100)
tu 1 den 101 co : (101-1):2+1=51
1+..+101 = (1+101)x 51:2= 2601
tu 2 den 100 co : (100-2);2+1=50
2+...+100 = (100 +2) x 50:2=2550
=> A= 2601-2550=51
học tốt
1.
= 10 000 - 29 x 11
= 10 000 - 319
= 9681
2.
= ( 3/7 + 4/7 ) + ( 4/9 + 5/9 )
= 1 + 1
= 2
a) 2/5 + 1/2 + 7/10
= 4/10 + 5/10 + 7/10
= 9/10 + 7/10
= 16/10 = 8/5
b) 4/9 + 11/8 - 5/6
= 32/72 + 99/72 - 60/72
= 191/72
c) 9/20 - 8/15 x 5/12
= 9/20 - 2/9
= 41/180
d) 2/3 : 4/5 : 7/12
= 5/6 : 7/12
= 10/7
\(\frac{9}{14}\times\frac{7}{6}=\frac{9\times7}{14\times6}=\frac{3}{4}\)
\(\frac{5}{9}:\frac{10}{21}=\frac{5}{9}\times\frac{21}{10}=\frac{7}{6}\)
\(\frac{8}{15}+\frac{4}{15}:\frac{2}{5}=\frac{8}{15}+\frac{4}{15}\times\frac{5}{2}=\frac{8}{15}+\frac{2}{3}=\frac{8}{15}+\frac{10}{15}=\frac{18}{15}\)
a) \(\frac{18}{15}+\frac{7}{15}+\frac{12}{15}\)
\(=\left(\frac{18}{15}+\frac{12}{5}\right)+\frac{7}{15}\)
\(=6+\frac{7}{15}\)
\(=\frac{97}{15}\)
b) \(\frac{9}{7}+\frac{8}{7}+\frac{11}{7}\)
\(=\frac{17}{7}+\frac{11}{7}\)
\(=\frac{28}{7}=4\)
TL
a) \(\frac{18}{15}+\frac{7}{15}+\frac{12}{15}\)\(=\frac{97}{15}\)
b) \(\frac{9}{7}+\frac{8}{7}+\frac{11}{7}\)\(=4\)
nha bn
HT
a; 60 \(\times\) (\(\dfrac{7}{12}\) + \(\dfrac{4}{15}\))
= 60 \(\times\) \(\dfrac{7}{12}\) + 60 \(\times\) \(\dfrac{4}{15}\)
= 35 + 16
= 51
a,\(60\times\left(\frac{7}{12}+\frac{4}{15}\right)\)\(=\frac{60\times7}{12}+\frac{60\times4}{15}\)
\(=\frac{12\times5\times7}{12}+\frac{15\times4\times4}{15}\)
\(=5\times7+4\times4\)
\(=35+16\)
\(=51\)
b, \(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times...\times\frac{8}{9}\)\(=\frac{1\times2\times3\times4\times5\times6\times7\times8}{2\times3\times4\times5\times6\times7\times8\times9}\)
\(=\frac{1}{9}\)
\(\frac{6}{7}.\frac{5}{2}=\frac{5.6}{7.2}=\frac{30}{14}=\frac{15}{7}\)
hok tốt!!
\(\frac{6}{7}x\frac{5}{2}\)
=\(\frac{30}{14}\)
=\(\frac{15}{7}\)