tính hợp lý:
8/11 x 14/23 + 8/11x9/23-8/11
Tính hợp lý : a) ( -17) + 14 + 36 + 7 b) ( -4) + 6 + ( -16) + 14c) ( -23) + 8 + ( -7) + 22 d) 39 + 40 + 41 + 42 - 9 - 10 - 11 - 12
8/11 x 14/13 + 9/23 : 11/8 - 8/11
\(\frac{8}{11}\cdot\frac{14}{13}+\frac{9}{23}\div\frac{11}{8}-\frac{8}{11}\)
\(=\frac{8}{11}\cdot\frac{14}{13}+\frac{9}{23}\cdot\frac{8}{11}-\frac{8}{11}\)
\(=\frac{8}{11}\cdot\left(\frac{14}{13}+\frac{9}{23}-1\right)\)
\(=\frac{8}{11}\cdot\frac{140}{299}=\frac{1120}{3289}\)
Tính hợp lí
C=-7/23*8/11-16/23-7/23*3/11
\(=\dfrac{7}{23}\left(\dfrac{8}{11}-\dfrac{3}{11}\right)-\dfrac{16}{23}=\dfrac{7}{23}\cdot\dfrac{5}{11}-\dfrac{16}{23}=-\dfrac{141}{253}\)
Câu 1 : thực hiện phép tính ( tính hợp lí nếu có thể ) A, 3/5 + -4/9 B, 3/5 + 2/5 . 15/8 C, 7/2 . 8/13 + 8/13 . -5/2 + 8/13 D, -5/17 . -9/23 + 9/23 . -22/17 + 11 9/23 Lưu ý : 11 9/23 là hỗn số
`a)3/5+(-4/9)`
`=3/5-4/9`
`=27/45-20/45`
`=7/45`
`b)3/5+2/5 . 15/8`
`=3/5 + 30/40`
`=3/5+3/4`
`=12/20+15/20`
`=27/20`
`c)7/2 . 8/13 + 8/13 . (-5/2)`
`=8/13 . (7/2 +(-5)/2)`
`=8/13 . 1`
`=8/13`
`d)-5/17 . (-9/23)+9/23 . (-22/17) + 11 9/23`
`=-5/17 . (-9/23) + 9/23 . (-1) . 22/17 + 11 + 9/23`
`=-5/17 . (-9/23) + (-9/23) . 22/17+11+9/23`
`= -9/23 ( -5/17 + 22/17)+11+9/23`
`= - 9/23 . 1+11+9/23`
`=-9/23+11+9/23`
`=(-9/23+9/23)+11`
`=0+11`
`=11`
a: =27/45-20/45=7/45
b: =3/5+30/40
=3/5+3/4
=12/20+15/20
=27/20
c: =8/13(7/2-5/2+1)=8/13*2=16/13
d: =9/23*5/17-9/23*22/17+11+9/23
=-9/23+11+9/23
=11
thực hiện phép tính ( tính hợp lí nếu có thể)
-11/23 +6/7 + 8/7 . -11/23 +1/23
Tính hợp lý giá trị biểu thức sau
\(49\frac{8}{23}-\left(5\frac{7}{32}+14\frac{8}{23}\right)\)
1135/23-167/32+330/23
=(1135/23-330/23)+167/32
=805/23+167/32
=35+167/32
=1120/32+167/32
=1287/32
Tính tổng sau hợp lí:
A = 3/2 x 5 + 3/5 x 8 + 3/8 x 11 + ...+ 3/20 x 23 + 3/23 x 26
\(A=\frac{3}{2}\times5+\frac{3}{5}\times8+\frac{3}{8}\times11+.....+\frac{3}{20}\times23+\frac{3}{23}\times26\)
\(A=\frac{3}{2}\times\frac{5}{1}+\frac{3}{5}\times\frac{8}{1}+\frac{3}{8}\times\frac{11}{1}+.....+\frac{3}{20}\times\frac{23}{1}+\frac{3}{23}\times\frac{26}{1}\)
\(A=\left(\frac{3}{2}\times\frac{5}{1}+\frac{3}{23}\times\frac{26}{1}\right)+.....+\left(\frac{3}{11}\times\frac{14}{1}+\frac{3}{14}\times\frac{17}{1}\right)\)CÓ 8 CẶP
\(A=\left(\frac{15}{2}+\frac{68}{23}\right)+.....+\left(\frac{42}{11}+\frac{51}{14}\right)\)
\(A=\left(\frac{15}{2}+\frac{68}{23}\right)+.....+\left(\frac{42}{11}+\frac{51}{14}\right)\)
CÒN LẠI TỰ GIẢI NHA
Điền dấu thích hợp vào chỗ chấm
9/14 ... 11/14 4/25 ... 4/23 5/6 ... 7/8 1 ... 14/15
8/9 ... 24/27 20/19 ... 20/27 8/7 ... 9/8 1 ...15/14
9/14 .<.. 11/14 4/25 .<.. 4/23 5/6 ..<. 7/8 1 ..>. 14/15
8/9 ..=. 24/27 20/19 ..>. 20/27 8/7 .>.. 9/8 1 .<..15/14
\(\dfrac{9}{14}< \dfrac{11}{14};\dfrac{8}{9}=\dfrac{24}{27}\)
\(\dfrac{4}{25}< \dfrac{4}{23};\dfrac{20}{19}>\dfrac{20}{27}\)
\(\dfrac{5}{6}< \dfrac{7}{8};\dfrac{8}{7}>\dfrac{9}{8}\)
\(1>\dfrac{14}{15};1< \dfrac{15}{14}\)
9/14 .<.. 11/14 4/25 .<.. 4/23 5/6 ..<. 7/8 1 ..>. 14/15
8/9 ..=. 24/27 20/19 ..>. 20/27 8/7 .>.. 9/8 1 .<..15/14
1. tính hợp lí
a, (25/49 x 17/39+22/39x25/49)x41/25 b, 3+3/11+3/23/8+8/11+8/23:9/8-1/3 c, A=2/3x7+2/7x11+2/11x15+......+2/107x111
a)\(\left(\frac{25}{49}+\frac{17}{39}+\frac{22}{39}\times\frac{25}{49}\right)\times\frac{41}{25}\)
\(=\left(\frac{25}{49}+\left(\frac{17}{39}+\frac{22}{39}\right)\times\frac{25}{49}\right)\times\frac{41}{25}\)
\(=\left(\frac{25}{49}+\frac{39}{39}\times\frac{25}{49}\right)\times\frac{41}{25}\)
\(=\left(\frac{25}{49}+1\times\frac{25}{49}\right)\times\frac{41}{25}\)
\(=\left(\frac{25}{49}+\frac{25}{49}\right)\times\frac{41}{25}\)
\(=\frac{50}{49}\times\frac{41}{25}\)
\(=\frac{2050}{1225}\)