Bài 5: Tính bằng cách thuận tiện nhất
a.1999 – 2000 + 1
b. 450 : 5 + 550 : 5
c. 188 x 7 + 188 x 4 - 188
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`39/16 : 5/8 - 7/16 : 5/8`
`=39/16 xx 8/5- 7/16 xx 8/5`
`=8/5 xx (39/16 - 7/16)`
`= 8/5 xx2`
`= 16/5`
__
` 4/3 xx 9/8 - 4/3 xx 3/8`
`=4/3 -(9/8 - 3/8)`
`= 4/3 xx 3/4`
`=1`
\(a,\\ \dfrac{39}{16}:\dfrac{5}{8}-\dfrac{7}{16}:\dfrac{5}{8}\\ =\dfrac{39}{16}\cdot\dfrac{8}{5}-\dfrac{7}{16}\cdot\dfrac{8}{5}\\ =\dfrac{8}{5}\cdot\left(\dfrac{39}{16}-\dfrac{7}{16}\right)=\dfrac{8}{5}\cdot2=\dfrac{16}{5}\\ b,\\ \dfrac{4}{3}\cdot\dfrac{9}{8}-\dfrac{4}{3}\cdot\dfrac{3}{8}=\dfrac{3}{2}-\dfrac{1}{2}=1\)
\(\dfrac{8}{13}+\dfrac{4}{9}+\dfrac{1}{3}+\dfrac{5}{13}+3\)
\(=1+\dfrac{7}{9}+3\)
\(=4+\dfrac{7}{9}=\dfrac{43}{9}\)
Bài 4:
a: \(=\dfrac{11}{21}\left(\dfrac{7}{4}+\dfrac{5}{4}\right)=\dfrac{11}{21}\cdot3=\dfrac{11}{7}\)
b: \(=\dfrac{6}{13}\left(\dfrac{23}{14}-\dfrac{9}{14}\right)=\dfrac{6}{13}\)
Bài 4:
a: =11/21(7/4+5/4)=11/21x3=11/7
b: =6/13(23/14-9/14)=6/13
a: =8/15x1/4=2/15
b: \(=\dfrac{5}{3}\cdot\dfrac{4}{5}\cdot\dfrac{6}{7}=\dfrac{24}{21}=\dfrac{8}{7}\)
c: \(=\dfrac{2}{5}\left(\dfrac{3}{7}+\dfrac{4}{7}\right)=\dfrac{2}{5}\)
457+218+143=(457+143)+218=600+218=818
b/ 346 + 412 + 188=346+(412+188)=346+600=946
\(c,\dfrac{8}{9}+\dfrac{14}{27}+\dfrac{1}{9}=\left(\dfrac{8}{9}+\dfrac{1}{9}\right)+\dfrac{14}{27}=1+\dfrac{14}{27}=\dfrac{41}{27}\)
d,\(\dfrac{1}{2}+\dfrac{3}{4}+\dfrac{1}{2}=\left(\dfrac{1}{2}+\dfrac{1}{2}\right)+\dfrac{3}{4}=1+\dfrac{3}{4}=\dfrac{7}{4}\)e,3,17.8,9+8,9.6,83=8,9(3,17+6,83=8,9.10=89
a)
457 + 218 + 143
= (457 + 143) + 218
= 600 + 218
= 818
b)
346 + 412 + 188
=346 + (412 + 188)
=346 + 600
= 946
c)
\(\dfrac{8}{9}+\dfrac{14}{27}+\dfrac{1}{9}=\left(\dfrac{8}{9}+\dfrac{1}{9}\right)+\dfrac{14}{27}=1+\dfrac{14}{27}=\dfrac{27}{27}+\dfrac{14}{27}=\dfrac{41}{27}.\)
d)
\(\dfrac{1}{2}+\dfrac{3}{4}+\dfrac{1}{2}=\left(\dfrac{1}{2}+\dfrac{1}{2}\right)+\dfrac{3}{4}=1+\dfrac{3}{4}=\dfrac{4}{4}+\dfrac{3}{4}=\dfrac{7}{4}.\)
e)\(\)
3,17 x 8,9 + 8,9 x 6,83 = 8,9 x ( 3,17 + 6,83 )
= 8,9 x 10
= 89
f)
1+3+5+...+19
= (19+1)+(17+3)+(15+5)+(13+7)+(11+9)
= 20+20+20+20+20
= 20 x 5
= 100
a) \(\dfrac{3}{5}\times\dfrac{17}{21}+\dfrac{17}{21}\times\dfrac{2}{5}\)
\(=\dfrac{17}{21}\times\left(\dfrac{3}{5}+\dfrac{2}{5}\right)\)
\(=\dfrac{17}{21}\times1\)
\(=\dfrac{17}{21}\)
b) \(\dfrac{15}{8}:\dfrac{5}{20}-\dfrac{7}{8}:\dfrac{1}{4}\)
\(=\dfrac{15}{8}\times\dfrac{20}{5}-\dfrac{7}{8}\times4\)
\(=\dfrac{15}{8}\times4-\dfrac{7}{8}\times4\)
\(=4\times\left(\dfrac{15}{8}-\dfrac{7}{8}\right)\)
\(=4\times1\)
\(=4\)
\(a,1999-2000+1=\left(1999+1\right)-2000=2000-2000=0\\ b,450:5+550:5=\left(450+550\right):5=1000:5=200\\ c,188\times7+188\times4-188=188\times\left(7+4-1\right)=188\times10=1880\)
a,1999−2000+1=(1999+1)−2000=2000−2000=0b,450:5+550:5=(450+550):5=1000:5=200c,188×7+188×4−188=188×(7+4−1)=188×10=1880