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(5 + 6 + 11 - 41) x (1 + 2 + 3 + ... + 100)
= [(5 + 6) - (11 - 41)] x (1 + 2 +...+ 100)
= [11 - 30 ] x (1 + 2 + ... + 100)
= - 19 x (1 + 2 +...+ 100)
Lớp 5 chưa học số âm.
12 x 85 + 35 - 182 - 35 x 94
= 1020 - 35 x (94 - 1) - 182
= 1020 - 35 x 93 - 182
= 1020 - 3255 - 182
= - 2235 - 182
= - 2417
Lớp 5 chưa học số âm
\(\dfrac{7}{19}x\dfrac{8}{23}+\dfrac{7}{19}x\dfrac{15}{23}+1\dfrac{7}{19}\)
= \(\dfrac{7}{19}x\left(\dfrac{8}{23}+\dfrac{15}{23}\right)+1+\dfrac{7}{19}\)
=\(\dfrac{7}{19}x1+1+\dfrac{7}{19}\)
= \(\dfrac{7}{19}+1+\dfrac{7}{19}=1\dfrac{14}{19}\) = \(\dfrac{33}{19}\)
\(\dfrac{75}{100}+\dfrac{18}{21}+\dfrac{49}{32}+\dfrac{1}{4}+\dfrac{3}{21}-\dfrac{17}{32}\)
= \(\dfrac{3}{4}+\dfrac{6}{7}+\dfrac{49}{32}+\dfrac{1}{4}+\dfrac{1}{7}-\dfrac{17}{32}\)
= \(\left(\dfrac{3}{4}+\dfrac{1}{4}\right)+\left(\dfrac{6}{7}+\dfrac{1}{7}\right)+\left(\dfrac{49}{32}-\dfrac{17}{32}\right)\)
= 1 + 1 + 1 = 3
\(\dfrac{8}{9}x\dfrac{15}{16}x\dfrac{24}{25}x\dfrac{35}{36}x\dfrac{48}{49}x\dfrac{63}{64}\)
= \(\dfrac{3}{4}\) *Câu này bạn tự sử dụng gạch nhé!
`1,`
`a,`
`7/19 \times 8/23 + 7/19 \times 15/23 + 1 7/19`
`= 7/19 \times 8/23 + 7/19 \times 15/23 + 1 + 7/19`
`= 7/19 \times (8/23 + 15/23 + 1) + 1`
`= 7/19 \times 2 + 1`
`=14/19 + 1`
`= 33/19`
`b,`
`75/100 + 18/21 + 49/32 + 1/4 + 3/21 - 17/32`
`= 75/100 + (18/21 + 3/21) + (49/32 - 17/32) + 1/4`
`= 0,75 + 1 + 1 + 0,25`
`= (0,75 + 0,25) + 1 + 1`
`= 1+1+1=3`
`c,`
`8/9 \times 15/16 \times 24/25 \times 35/36 \times 48/49 \times 63/64`
`=` \(\dfrac{2\times3}{3\times3}\times\dfrac{3\times5}{4\times4}\times\dfrac{3\times4\times2}{5\times5}\times\dfrac{5\times7}{6\times6}\times\dfrac{6\times8}{7\times7}\times\dfrac{7\times9}{8\times8}\)
`= 3/4` (bạn sử dụng gạch, rút gọn các số là được nhé).
Ta có:
\(A=\frac{1}{6.25}+\frac{1}{7.30}+...+\frac{1}{8.35}+\frac{1}{100.495}\)
\(=\frac{1}{6.\left(5.5\right)}+\frac{1}{7.\left(5.6\right)}+...+\frac{1}{8.\left(5.7\right)}+\frac{1}{100.\left(5.99\right)}\)
\(=\frac{1}{5}\left(\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+...+\frac{1}{99.100}\right)\)
\(=\frac{1}{5}\left[\left(\frac{1}{5}-\frac{1}{6}\right)+\left(\frac{1}{6}-\frac{1}{7}\right)+\left(\frac{1}{7}-\frac{1}{8}\right)+...+\left(\frac{1}{99}-\frac{1}{100}\right)\right]\)
\(=\frac{1}{5}\left(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{99}-\frac{1}{100}\right)\)
\(=\frac{1}{5}\left(\frac{1}{5}-\frac{1}{100}\right)\)
Mà \(\frac{1}{5}-\frac{1}{100}< \frac{1}{5}\)nên \(A=\frac{1}{5}\left(\frac{1}{5}-\frac{1}{100}\right)< \frac{1}{5}.\frac{1}{5}=\frac{1}{25}.\)
Vậy \(A< \frac{1}{25}.\)
100-5=95 phân số
(1/100+1/6):2=53/600
(495-25):5+1=95 số
(495+5)x95:2=23750
53/600x23750=25175/12