Đây là toán mà sao lại ở đây?

Toán mà soa lại là ngoại ngữ dc.

bó tay

3.<,>,=

3-5/6....>...1+5/6          41/60-11/60....=....3/8+1/8
2/5+4/15....>...9/10-3/5        1/3-1/12..<....7/8-5/16

1. >               2. =

3. >               4. <

3-5/6 > 1+5/6

41/60 -11/60 =  3/8+1/8

2/5+4/15 > 9/10-3/5

1/3-1/12 < 7/8-5/16

Có tính nhanh ko?

a; \(\dfrac{1}{4}\) + \(\dfrac{2}{5}\) + \(\dfrac{6}{8}\) + \(\dfrac{9}{15}\) + \(\dfrac{8}{1}\)

= (\(\dfrac{1}{4}\) + \(\dfrac{6}{8}\)) + (\(\dfrac{2}{5}\) + \(\dfrac{9}{15}\)) + \(\dfrac{8}{1}\)

= (\(\dfrac{1}{4}\) + \(\dfrac{3}{4}\)) + (\(\dfrac{2}{5}\) + \(\dfrac{3}{5}\)) + 8

=  1 + 1 + 8

=  2 + 8

= 10

b; \(\dfrac{1}{2}\) + \(\dfrac{2}{4}\) + \(\dfrac{3}{6}\) + \(\dfrac{4}{8}\) + \(\dfrac{5}{10}\) + \(\dfrac{6}{12}\) + \(\dfrac{7}{14}\) + \(\dfrac{8}{16}\) + \(\dfrac{10}{20}\)

=  \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) x (\(\dfrac{2}{2}\) + \(\dfrac{3}{3}\) + \(\dfrac{4}{4}\) + \(\dfrac{5}{5}\)+ \(\dfrac{6}{6}+\dfrac{7}{7}+\dfrac{8}{8}\) + \(\dfrac{10}{10}\))

= \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) x (1 + 1 +1 + 1+ 1+ 1+ 1 +1)

= \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) x 1 x 8

= \(\dfrac{1}{2}\) + \(\)\(\dfrac{1}{2}\) x 8

= \(\dfrac{1}{2}\) + 4

= \(\dfrac{9}{2}\) 

c; \(\dfrac{1}{10}\) + \(\dfrac{4}{20}\) + \(\dfrac{9}{30}\)+\(\dfrac{16}{40}+\dfrac{25}{50}+\dfrac{36}{60}+\dfrac{49}{70}+\dfrac{64}{80}+\dfrac{81}{90}\)

= \(\dfrac{1}{10}+\dfrac{2}{10}+\dfrac{3}{10}+\dfrac{4}{10}+\dfrac{5}{10}+\dfrac{6}{10}+\dfrac{7}{10}+\dfrac{8}{10}+\dfrac{9}{10}\)

= \(\dfrac{1+2+3+4+5+6+7+8+9}{10}\)

=  \(\dfrac{\left(1+9\right)+\left(2+8\right)+\left(3+7\right)+\left(4+6\right)+5}{10}\)

= \(\dfrac{10+10+10+10+5}{10}\)

= \(\dfrac{\left(10+10+10+10\right)+5}{10}\)

= \(\dfrac{10\times4+5}{10}\)

= \(\dfrac{45}{10}\)

= \(\dfrac{9}{2}\)

a; \(\dfrac{1}{4}\) + \(\dfrac{2}{5}\) + \(\dfrac{6}{8}\) + \(\dfrac{9}{15}\) + \(\dfrac{8}{1}\)

  = (\(\dfrac{1}{4}\) + \(\dfrac{6}{8}\)) + (\(\dfrac{2}{5}\) + \(\dfrac{9}{15}\)) + 8

= (\(\dfrac{1}{4}\) + \(\dfrac{3}{4}\)) + (\(\dfrac{2}{5}\) + \(\dfrac{3}{5}\)) + 8

= 1 + 1 + 8

= 2 + 8

= 10

b; \(\dfrac{1}{2}\) + \(\dfrac{2}{4}\) + \(\dfrac{3}{6}\) + \(\dfrac{4}{8}\) + \(\dfrac{5}{10}\) + \(\dfrac{6}{12}\) + \(\dfrac{7}{14}\) + \(\dfrac{8}{16}\) + \(\dfrac{9}{18}\) + \(\dfrac{10}{20}\)

= \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\)

= \(\dfrac{1}{2}\) x 10

= 5

c; \(\dfrac{1}{10}\) + \(\dfrac{4}{20}\) + \(\dfrac{9}{30}\)+\(\dfrac{16}{40}+\dfrac{25}{50}+\dfrac{36}{60}+\dfrac{49}{70}+\dfrac{64}{80}+\dfrac{81}{90}\)

= \(\dfrac{1}{10}+\dfrac{2}{10}+\dfrac{3}{10}+\dfrac{4}{10}+\dfrac{5}{10}+\dfrac{6}{10}+\dfrac{7}{10}+\dfrac{8}{10}+\dfrac{9}{10}\)

= \(\dfrac{1+2+3+4+5+6+7+8+9}{10}\)

=  \(\dfrac{\left(1+9\right)+\left(2+8\right)+\left(3+7\right)+\left(4+6\right)+5}{10}\)

= \(\dfrac{10+10+10+10+5}{10}\)

= \(\dfrac{\left(10+10+10+10\right)+5}{10}\)

= \(\dfrac{10\times4+5}{10}\)

= \(\dfrac{45}{10}\)

= \(\dfrac{9}{2}\)

24 = 2³.3;  36 = 2⁴.3⁴; 60 = 2².3.5

ƯCLN( 24; 36; 60) = 2².3 = 12

12 = 2².3; 15 = 3.5; 10 = 2.5 

ƯCLN(12; 15; 10) = 1

24  = 2³.3; 16 = 2⁴; 8 = 2³

ƯCLN(24; 16; 8) = 2³

9 = 3²; 81 = 3⁴ 

ƯCLN( 9; 81) =  9

11 = 11; 15 = 3.5

ƯCLN( 11; 15) = 1

1 = 1; 10 = 2.5

ƯCLN(1; 10) = 1

150 = 2.3.5²;  84 = 2².3.7 

ƯCLN( 150; 84) = 6

46 = 2.23; 138 = 2.3.23 

ƯCLN(46; 138) = 2.23 = 46

16 = 2⁴; 32 = 2⁵; 124 = 2².31

ƯCLN( 16; 32; 124) = 2² = 4

14 = 2.7; 82 = 2.41; 124 = 2².31 

ƯCLN( 14; 82; 124) = 2

giúp mình với mai phải nộp rồi

a) (44 x 52 x 60) : (11 x 13 x 15)

= (44 : 11) x ( 52 : 13) x (60 : 15)

= 4 x 4 x 4 = 64

d) 1 + 6 + 11 + 16 + ... + 46 + 51

Ta có : 1 + 6 + 11 + 16 + ... + 46 + 51 ( có 11 số )

= (51 + 1) x 11 : 2 = 286

a, Ta thấy 44:11=4               ,         52;13=4        ,                60:15=4,                                                                                                                         => 4*4*4=64             

b,Ta có : 16*17-5=16*(16+1)-5=16*16+16-5=16*16+11    Ta thấy Cụm 1 = Cụm 2 => Đáp án =1

TRƯỚC TIÊN TA SO SÁNH 10 VỚI 10B

10A=10^16+10/10^16+1=1\(\frac{9}{16+1}\) 

10B=10^17+10/10+17+1=1\(\frac{9}{17+1}\) 

VÌ 9/16+1>9/17+1

=>10A>10B

=>A>B

AI TÍCH MK ;MK TÍCH LẠI

A>B chac 1oo% lu0n