-2/5 - 3/7 +10/7 --7/5
tính hợp lí nếu có thể
Tính hợp lí nếu có thể:
(1/3-3/10):3/5+(2/3-7/10):3/5
\(\left(\dfrac{1}{3}-\dfrac{3}{10}\right):\dfrac{3}{5}+\left(\dfrac{2}{3}-\dfrac{7}{10}\right):\dfrac{3}{5}\)
\(=\left(\dfrac{1.10}{3.10}-\dfrac{3.3}{10.3}\right).\dfrac{5}{3}+\left(\dfrac{2.10}{3.10}-\dfrac{7.3}{10.3}\right).\dfrac{5}{3}\)
\(=\left(\dfrac{10}{30}-\dfrac{9}{30}\right).\dfrac{5}{3}+\left(\dfrac{20}{30}-\dfrac{21}{30}\right).\dfrac{5}{3}\)
\(=\dfrac{1}{30}.\dfrac{5}{3}-\dfrac{1}{30}.\dfrac{5}{3}\)
\(=\dfrac{5}{3}.\left(\dfrac{1}{30}-\dfrac{1}{30}\right)\)
\(=\dfrac{5}{3}.0\)
\(=0\)
thực hiện phép tính hợp lí nếu có thể
-2/3 + 1/5. -10/7
\(-\frac{2}{3}+\frac{1}{5}.\frac{-10}{7}\\ =-\frac{2}{3}+\frac{1.-10}{5.7}\\ =-\frac{2}{3}+\frac{-2}{7}\\ =-\frac{14}{21}+\frac{-6}{21}\\ =-\frac{20}{21}\)
=\(\frac{-2}{3}+\frac{1}{5}.\frac{-10}{7}\)
=\(\frac{-2}{3}+\frac{-2}{7}\)
=\(\frac{-20}{21}\)
tính hợp lí nếu có thể:
12-12+11+10-9+8-7+5-4+3+2-1
ta có
(12-12) +(10-9)+(8-7)+(5-4)+(2-1)+(3+11)
=0+1+1+1+1+14=18
Tính hợp lí( nếu có thể)
12-12+11+10-9+8-7+5-4+3-2-1
12 - 12 +11 + 10 - 9 + 8 - 7 + 5 - 4 + 3 - 2 - 1
= ( 11 - 1 ) + ( 10 -9 ) + ( 8-7) + ( 5 - 4 ) + ( 3-2 )
= 10 + 1 + 1 + 1 + 1
=14
12-12+11+10-9+8-7+5-4+3-2-1
=(12-12)+(11+10)-(9-8)-(7-5)-(4-3)-(2+1)
=0+21-1-2-1-3
=21-(1+2+1+3)
=21-7
=14
Tính hợp lí (nếu có thể):
A= -1-2+3+4-5-6+7+8-9-10+...+2019+2020-2021-2022+2023
Lời giải:
$A=(-1-2+3+4)+(-5-6+7+8)+(-9-10+11+12)+...+(-2021-2022+2023+2024)-2024$
$=\underbrace{4+4+...+4}_{506}-2024$
$=4.506-2024=0$
1)
Tính hợp lí nếu có thể
a 11.(7-25)+7.(25-11)
b -5/7+-3/-5+5/7
c -2/3+10/14.-7/15
đ -2/5-3/7+10/7-(-7)/5
2)
Tìm x biết
a |2.x-6|=2009+(-2009)
b -3/4-x=1/2.2/4.4/5
Thực hiện phép tính( hợp lí nếu có thể)
\(\dfrac{-3}{5}:\dfrac{7}{5}-\dfrac{3}{5}:\dfrac{7}{5}+2\dfrac{3}{5}\)
\(=\dfrac{-3}{5}:\dfrac{7}{5}-\dfrac{3}{5}:\dfrac{7}{5}+2\dfrac{3}{5}\)
\(=-\dfrac{6}{5}\times\dfrac{5}{7}+\dfrac{13}{5}=\dfrac{61}{35}\)
=\(\dfrac{-3}{5}\).\(\dfrac{5}{7}\)-\(\dfrac{3}{5}\).\(\dfrac{5}{7}\)+\(\dfrac{13}{5}\)
=(\(\dfrac{-3}{5}\)-\(\dfrac{3}{5}\)+\(\dfrac{13}{5}\)).\(\dfrac{5}{7}\)
=\(\dfrac{13}{5}\).\(\dfrac{5}{7}\)
=\(\dfrac{13}{1}\).\(\dfrac{1}{7}\)
=\(\dfrac{13}{7}\)
Thực hiện phép tính (hợp lí nếu có thể):
a) \(13\dfrac{2}{7}\) : (\(\dfrac{-8}{9}\)) + \(2\dfrac{5}{7}\) : (\(\dfrac{-8}{9}\))
b) (\(\dfrac{-6}{11}\)) . \(\dfrac{7}{10}\) . (\(\dfrac{11}{-6}\)) . (-20)
c) (\(-1\dfrac{1}{2}\)) : \(\dfrac{3}{4}\) . (\(-4\dfrac{1}{2}\))
a) \(=\left(13\dfrac{2}{7}+2\dfrac{5}{7}\right):\left(-\dfrac{8}{9}\right)\)
\(=16:\dfrac{-8}{9}=\dfrac{-8\cdot\left(-2\right)\cdot9}{-8}=-18\)
b)
\(=\left(\dfrac{-6}{11}\cdot\dfrac{11}{-6}\right)\cdot\dfrac{7\cdot10\cdot\left(-2\right)}{10}\)
\(=-14\)
c) \(=\dfrac{-1}{2}\cdot\dfrac{4}{3}\cdot\dfrac{-7}{2}\)
\(=\dfrac{-1\cdot2\cdot2\cdot\left(-7\right)}{2\cdot3\cdot2}=\dfrac{7}{3}\)
Tính hợp lí nếu có thể
-2/3 + 10/14 . -7/15
-2/3 + 10/14 . -7/15
= -2/3 + -1/3
= -3/3
= -1
= -2/3 + 5/7 . -7/15
= -2/3 + -1/3
= -3/3
=1
chúc bạn học giỏi nhe !!!