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1. Tính
a,2612 x 912 + 3181
= 2382144 + 3181
= 2385325
b,9/12 + 1/4 + 3/4
= 9/12 + 4/4
= 9/12 + 12/12
= 21/12
2.Tính nhanh
a,361 x 56 + 56 x 38 + 5
= 56 x ( 361+38) + 5
= 56 x 399 + 5
= 22344 + 5
= 22349
b, 1 + 2 + 3 +.....+ 100+ 101
Khoảng cách của dãy số trên là : 1
Dãy số trên có số các số hạng là:
( 101 - 1): 1 +1=101(số)
Tổng của dãy số trên là:
(101+1)x101:2=5151
Đáp số: 5151
1.
a, 2612 x 912 + 3181 = 2382144 + 3181
= 2388506.
b, 9/12 + 1/4 + 3/4 = 9/12 + 1
= 21/12.
2.
a, 361 x 56 + 56 x 38 + 5 = 56 x ( 361 + 38 ) + 5
= 56 x 399 + 5
= 22344 + 5
= 22349.
b, 1 + 2 + 3 + ... + 100 + 101
Ta thấy :
2-1=1 ; 3-2=1 ; 4-3=1 ; ... ; 101-100=1
Nên đây là một dãy số tự nhiên cách đều 1 đơn vị.
Dãy số trên có số số hạng là :
( 101 - 1 ) : 1 + 1 = 101 ( số hạng )
Tổng dãy số là :
( 101 + 1 ) . 101 : 2 = 5151
Đáp số : a,22349
b,5151.
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19/8+5/4-27/7-233/56
29/8-27/7-233/56
202/56-10216/56-233/56
-14/56-233/56
-247/56
Bài làm
\(2\frac{3}{8}+1\frac{1}{4}+3\frac{6}{7}-4\frac{9}{56}\)
\(=\frac{19}{8}+\frac{5}{4}+\frac{27}{7}-\frac{233}{56}\)
\(=\frac{133}{56}+\frac{70}{56}+\frac{216}{56}-\frac{233}{56}\)
\(=\frac{186}{56}\)
\(=\frac{93}{28}\)
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1 + 1 + 2 + 3 + 4 + 56 + 57 + 67890 =68014
HAPPY NEW YEAR !!!!! TICK MÌNH NHA
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\(\frac{70}{3}\left(\frac{39}{30}+\frac{39}{42}\right)-\frac{246}{7}\div\left(\frac{41}{56}+\frac{41}{72}\right)\)
\(=\frac{70}{3}\left(\frac{13}{10}+\frac{13}{14}\right)-\frac{246}{7}\div\left(\frac{41}{7\cdot8}+\frac{41}{8\cdot9}\right)\)
\(=\frac{70}{3}\left(1+\frac{3}{10}+1-\frac{1}{14}\right)-\frac{246}{7}\div\left(\frac{40+1}{7\cdot8}+\frac{40+1}{8\cdot9}\right)\)
\(=\frac{70}{3}\left[\left(1+1\right)+\left(\frac{3}{10}-\frac{1}{14}\right)\right]-\frac{246}{7}\div\left(\frac{5}{7}+\frac{1}{7\cdot8}+\frac{5}{9}+\frac{1}{8\cdot9}\right)\)
\(=\frac{70}{3}\left(2+\frac{8}{35}\right)-\frac{246}{7}\div\left[\frac{5}{7}+\frac{5}{9}+\left(\frac{1}{7\cdot8}+\frac{1}{8\cdot9}\right)\right]\)
\(=\frac{70}{3}\cdot\frac{78}{35}-\frac{246}{7}\div\left[\frac{5}{7}+\frac{5}{9}+\left(\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}\right)\right]\)
\(=\frac{35\cdot2\cdot26\cdot3}{3\cdot35}-\frac{246}{7}\div\left(\frac{5}{7}+\frac{5}{9}+\frac{1}{7}-\frac{1}{9}\right)\)
\(=52-\frac{246}{7}\div\left[\left(\frac{5}{7}+\frac{1}{7}\right)+\left(\frac{5}{9}-\frac{1}{9}\right)\right]\)
\(=52-\frac{246}{7}\div\left(\frac{6}{7}+\frac{4}{9}\right)\)
\(=52-\frac{246}{7}\div\frac{82}{63}\)
\(=52-\frac{82\cdot3\cdot9\cdot7}{7\cdot82}\)
\(=52-27=25\)
\(\frac{57}{20}-\frac{26}{15}+\frac{139}{20}\div3\)
\(=\frac{57}{20}-\frac{26}{15}+\frac{139}{60}\)
\(=\frac{171}{60}-\frac{104}{60}+\frac{139}{60}=\frac{103}{30}\)
\(\frac{39}{4}+\frac{2}{3}\left(11-\frac{23}{4}\right)\)
\(=\frac{39}{4}+11\cdot\frac{2}{3}-\frac{23}{4}\cdot\frac{2}{3}\)
\(=\frac{39}{4}+\frac{22}{3}-\frac{56}{12}\)
\(=\frac{119}{12}+\frac{88}{12}-\frac{56}{12}=\frac{151}{12}\)
\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{2002}\right)\left(1-\frac{1}{2003}\right)\left(1-\frac{1}{2004}\right)\)
\(=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot...\cdot\frac{2001}{2002}\cdot\frac{2002}{2003}\cdot\frac{2003}{2004}\)
\(=\frac{1\cdot2\cdot3\cdot...\cdot2001\cdot2002\cdot2003}{2\cdot3\cdot4\cdot...\cdot2002\cdot2003\cdot2004}=\frac{1}{2004}\)
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a) \(\frac{A}{7}=\frac{5}{2\times7}+\frac{4}{7\times11}+\frac{3}{11\times14}+\frac{1}{14\times15}+\frac{13}{15\times28}\)
\(\frac{A}{7}=\frac{7-2}{2\times7}+\frac{11-4}{7\times11}+\frac{14-11}{11\times14}+\frac{15-14}{14\times15}+\frac{28-15}{15\times28}\)
\(\frac{A}{7}=\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{15}+\frac{1}{15}-\frac{1}{28}=\frac{1}{2}-\frac{1}{28}=\frac{13}{28}\)
\(A=7.\frac{13}{28}=\frac{13}{4}\)
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1+1+2+3+4+56= 67
Trả lời :
1+1+2+3+4+56= 67
#hoctot