4444444/33333333 * 99999999/88888888 = tính bằng cách hợp lí
ai gúp mình với
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TL
a, 100005175327
b, 148904438
c, 10746660
HT
Mình mất 5 phút để giải, bạn mất 1 giây để t.i.c.k, nhớ t.i.c.k mình nhá
C1 : 5/24 x 5/12 x 24
= 5/24 x ( 5/12 x 24 )
= 5/24 x 10
= 50/24
= 25/12
C2 : 5/24 x 5/12 x 24
= ( 5/24 x 24 ) x ( 5/12 )
= 5 x ( 5/12 )
= 25/12
Chúc em học giỏi !!!
Cách 1 : 5/24 x 5/12 x 24 = (5/24 x 24) x 5/12
= 5 x 5/12 = 25/12
Cách 2 : 5/24 x 5/12 x 24 = 5/24 x (5/12 x 24)
= 5/24 x 10 = 25/12
1) A=\(\dfrac{7}{1.3}+\dfrac{7}{3.5}+\dfrac{7}{5.7}+...+\dfrac{7}{99.101}\)=\(\dfrac{7.2}{1.3.2}+\dfrac{7.2}{3.5.2}+\dfrac{7.2}{5.7.2}+...+\dfrac{7.2}{99.101.2}\)=
\(\dfrac{7}{2}\left(\text{}\dfrac{2}{1.3}+\dfrac{2}{3.5}+\dfrac{2}{5.7}+...+\dfrac{2}{99.101}\right)\)=
\(\dfrac{7}{2}\left(\text{}1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}...+\dfrac{1}{99}-\dfrac{1}{101}\right)\)=
\(\dfrac{7}{2}\left(\text{}1-\dfrac{1}{101}\right)\)=\(\dfrac{7}{2}.\dfrac{100}{101}=\dfrac{350}{101}\)
2) A=\(\dfrac{1}{2}+\dfrac{2}{2.4}+\dfrac{3}{4.7}+\dfrac{4}{7.11}+\dfrac{5}{11.16}\)=\(\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{16}\)
=\(\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{16}\)=\(1-\dfrac{1}{16}=\dfrac{15}{16}\)
\(a,=-17+91-91+17+2011=\left(-17+17\right)+\left(91-91\right)+2011\)
\(=0+0+2011=2011\)
Ta có (1+1/2)x(1+1/3)×.....×(1+1/2010)
=3/2x4/3x.....x2009/2010x2010/2011=2011/2
\(=\dfrac{3}{7}\cdot\left(\dfrac{4}{9}+\dfrac{5}{9}+1\right)=\dfrac{3}{7}\cdot2=\dfrac{6}{7}\)
\(=\dfrac{3}{7}\times\dfrac{4}{9}\times\dfrac{5}{9}\times\dfrac{3}{7}+\dfrac{3}{7}=\dfrac{3}{7}\times\left(\dfrac{4}{9}+\dfrac{5}{9}+1\right)=\dfrac{3}{7}\times2=\dfrac{6}{7}\)
Trả lời :
\(\frac{1998\times1996+1997\times11+1985}{1997\times1996-1995\times1996}\)
\(=\frac{1998\times1996+\left(1996+1\right)\times11+1985}{1996\times\left(1997-1995\right)}\)
\(=\frac{1998\times1996+1996\times11+11+1985}{1996\times2}\)
\(=\frac{1998\times1996+1996\times11+1996}{1996\times2}\)
\(=\frac{1996\times\left(1998+11+1\right)}{1996\times2}\)
\(=\frac{2010}{2}\)
\(=1005\)
\(\frac{44444444}{33333333}.\frac{99999999}{88888888}\)\(=\)\(\frac{4.11111111}{3.11111111}.\frac{9.11111111}{8.11111111}\)\(=\)\(\frac{4}{3}.\frac{9}{8}\)\(=\frac{4.9}{3.8}=\frac{1.3}{1.2}=\frac{3}{2}\)
Bạn gì ơi,7 chữ số 4,còn lại 8 chữ số rút gọn sao?Đây nè.
\(\frac{4444444}{33333333}\cdot\frac{99999999}{88888888}=\frac{4444444\cdot99999999}{33333333\cdot88888888}=\frac{4444444\cdot33333333\cdot3}{33333333\cdot\left(4444444\cdot20+8\right)}\)\(=\)\(\frac{4444444\cdot33333333\cdot3}{33333333\cdot4444444\cdot20}+\frac{4444444\cdot33333333\cdot3}{8}=\frac{3}{20}+\frac{1111111\cdot2\cdot2\cdot33333333\cdot3}{2\cdot2\cdot2}\)\(=\)\(\frac{3}{20}+\frac{33333330\cdot33333333}{20}\)\(=\frac{3+33333330\cdot33333333}{20}\)