Tính = cách hợp lí
E= 5/3 + 5/9 + 5/18+ 5/30+ 5/45
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Tính bằng cách hợp lí
35 . 18 - 5 . 7 . 28
45 - 5 . (12 + 9)
24 . (16 - 5) - 16. (24 - 5)
35.18-5.7.28=35.18-35.28=35(18-28)=-350
45-5.12-5.9=45-60-45=-60
=24.16-24.5-16.24-16.5=5(-24-16)=5.-40=-200
35 . 18 - 5 . 7 . 28 = 35 . 18 - 35 . 28
= 35 . (18 - 28)
= 35 . (-10)
= -350
45 - 5 . (12 + 9) = 45 - 5 . 9 + 5 . 12
= 45 - 45 + 60
= 60
24 . (16 - 5) - 16 . (24 - 5) = 24 . 16 - 24 . 5 - 16 . 24 + 16 . 5
= (24 . 16 - 16 . 24) + (16 . 5 - 24 . 5)
=0 + 5 . (16 - 24)
= 5. (-8)
= -40
Tính hợp lý:
a) ( -5/6 + 2/5) : 3/8 + ( 4/5 - 11/30) : 3/8
b) (-3/4 + 2/5) : 3/7 + ( 3/5 + -1/4) : 3/7
c)-13/18 . 5/8 + -5/18 . 2/9 + -13/18 . 3/8 + -5/18 . 7/9
d) -11/19 . 4/9 + -8/19 . 3/7 + -11/19 . 5/9 + -9/19 . 4/7
a: \(\left(-\dfrac{5}{6}+\dfrac{2}{5}\right):\dfrac{3}{8}+\left(\dfrac{4}{5}-\dfrac{11}{30}\right):\dfrac{3}{8}\)
\(=\left(-\dfrac{5}{6}+\dfrac{2}{5}\right)\cdot\dfrac{8}{3}+\left(\dfrac{4}{5}-\dfrac{11}{30}\right)\cdot\dfrac{8}{3}\)
\(=\dfrac{8}{3}\left(-\dfrac{5}{6}+\dfrac{2}{5}+\dfrac{4}{5}-\dfrac{11}{30}\right)\)
\(=\dfrac{8}{3}\cdot\dfrac{-25+36-11}{30}\)
=0
b: \(\left(-\dfrac{3}{4}+\dfrac{2}{5}\right):\dfrac{3}{7}+\left(\dfrac{3}{5}+\dfrac{-1}{4}\right):\dfrac{3}{7}\)
\(=\left(-\dfrac{3}{4}+\dfrac{2}{5}\right)\cdot\dfrac{7}{3}+\left(\dfrac{3}{5}-\dfrac{1}{4}\right)\cdot\dfrac{7}{3}\)
\(=\dfrac{7}{3}\left(-\dfrac{3}{4}+\dfrac{2}{5}+\dfrac{3}{5}-\dfrac{1}{4}\right)\)
\(=\dfrac{7}{3}\cdot0=0\)
c: \(\dfrac{-13}{18}\cdot\dfrac{5}{8}+\dfrac{-5}{18}\cdot\dfrac{2}{9}+\dfrac{-13}{18}\cdot\dfrac{3}{8}+\dfrac{-5}{18}\cdot\dfrac{7}{9}\)
\(=\left(-\dfrac{13}{18}\cdot\dfrac{5}{8}+\dfrac{-13}{18}\cdot\dfrac{3}{8}\right)+\left(-\dfrac{5}{18}\cdot\dfrac{2}{9}+\dfrac{-5}{18}\cdot\dfrac{7}{9}\right)\)
\(=-\dfrac{13}{18}\left(\dfrac{5}{8}+\dfrac{3}{8}\right)+\dfrac{-5}{18}\left(\dfrac{2}{9}+\dfrac{7}{9}\right)\)
\(=-\dfrac{13}{18}-\dfrac{5}{18}=-\dfrac{18}{18}=-1\)
d: Sửa đề: \(\dfrac{-11}{19}\cdot\dfrac{4}{9}+\dfrac{-8}{19}\cdot\dfrac{3}{7}+\dfrac{-11}{19}\cdot\dfrac{5}{9}+\dfrac{-8}{19}\cdot\dfrac{4}{7}\)
\(=\left(-\dfrac{11}{19}\cdot\dfrac{4}{9}+\dfrac{-11}{19}\cdot\dfrac{5}{9}\right)+\left(\dfrac{-8}{19}\cdot\dfrac{3}{7}+\dfrac{-8}{19}\cdot\dfrac{4}{7}\right)\)
\(=-\dfrac{11}{19}\left(\dfrac{4}{9}+\dfrac{5}{9}\right)+\dfrac{-8}{19}\left(\dfrac{3}{7}+\dfrac{4}{7}\right)\)
\(=-\dfrac{11}{19}-\dfrac{8}{19}=-\dfrac{19}{19}=-1\)
\(a.\left(-\dfrac{5}{6}+\dfrac{2}{5}\right):\dfrac{3}{8}+\left(\dfrac{4}{5}-\dfrac{11}{30}\right):\dfrac{3}{8}\)
\(=\left(-\dfrac{13}{30}\right):\dfrac{3}{8}+\dfrac{13}{30}:\dfrac{3}{8}\)
\(=\left[\left(-\dfrac{13}{30}+\dfrac{13}{30}\right)\right]:\dfrac{3}{8}\)
\(=0:\dfrac{3}{8}=0\)
\(b.\left(-\dfrac{3}{4}+\dfrac{2}{5}\right):\dfrac{3}{7}+\left(\dfrac{3}{5}+-\dfrac{1}{4}\right):\dfrac{3}{7}\)
\(=\left(-\dfrac{7}{20}\right):\dfrac{3}{7}+\dfrac{7}{20}:\dfrac{3}{7}\)
\(=\left[\left(-\dfrac{7}{20}+\dfrac{7}{20}\right)\right]:\dfrac{3}{7}=0:\dfrac{3}{7}=0\)
\(c.-\dfrac{13}{18}.\dfrac{5}{8}+-\dfrac{5}{18}.\dfrac{2}{9}+-\dfrac{13}{18}.\dfrac{3}{8}+-\dfrac{5}{18}.\dfrac{7}{9}\)
\(=\left(\dfrac{5}{8}+\dfrac{3}{8}\right).-\dfrac{13}{18}+\left(\dfrac{2}{9}+\dfrac{7}{9}\right).-\dfrac{5}{18}\)
\(=1.-\dfrac{13}{18}+1.-\dfrac{5}{18}=-\dfrac{13}{18}+-\dfrac{5}{18}=-1\)
\(d.-\dfrac{11}{19}.\dfrac{4}{9}+\dfrac{-8}{19}.\dfrac{3}{7}+-\dfrac{11}{19}.\dfrac{5}{9}+-\dfrac{9}{19}.\dfrac{4}{7}\)
\(=\left(\dfrac{4}{9}+\dfrac{5}{9}\right).-\dfrac{11}{19}+-\dfrac{24}{133}+-\dfrac{36}{133}\)
\(=-\dfrac{11}{19}+-\dfrac{60}{133}=-\dfrac{137}{133}\)
BÀI 3: TÍNH HỢP LÍ (ghi rõ từng bước của phép tính)
1) 35. 18 – 5. 7. 28
2) 45 – 5. (12 + 9)
3) 31. (-18) + 31. ( - 81) – 31
4) 48.100 + 48. (-78) + 48.(-22)
5) 50.46 – 45.50 + 100o
1) 35.18−5.7.28=−350
2) 45−5(12+9)=−60
1) 35.18-5.7.28
=630-5.7.28
= 630-980
=630+(-980)
=-(980-630)
=-350
1) 35 . 18 - 5 . 7 . 28
= 630 - 35 . 28
= 630 - 980
= -350
2) 45 - 5.(12+9)
= 45-5×21
= 45-105
=-60
3) 31. (-18) + 31. ( - 81) – 31
=31.(-18)+31+81+(-31)
=31.(-18)+[31+ -(31)]+81
BÀI 3: TÍNH HỢP LÍ (ghi rõ từng bước của phép tính)
1) 35. 18 – 5. 7. 28
2) 45 – 5. (12 + 9)
3) 31. (-18) + 31. ( - 81) – 31
4) 48.100 + 48. (-78) + 48.(-22)
5) 50.46 – 45.50 + 1000
1) 35.18−5.7.28=−350
2) 45−5(12+9)=−60
1) 35.18-5.7.28
=630-5.7.28
= 630-980
=630+(-980)
=-(980-630)
=-350
1) Tính bằng cách hợp lý:
a) (27*45+27*55) : (2+4+6+..+14+16+18)
b) (27*700-24*45*20) : (45-40+35-30+25-20+15-10+5)
2) Viết gọn các tổng tích sau bằng cách dùng lũy thừa:
a) 2*10*10*5
b) 5*5*5*10*10
c) 3*2*3*2*3
d) 2*2*2*5*5*5*10*10
e) a*b*a*b*a*b*b*b*b
f) 2*2*2*2*2*8
Tính hợp lý:
1/ 35. 18 – 5. 7. 28
2/ 45 – 5. (12 + 9)
3/ 24. (16 – 5) – 16. (24 - 5)
1/ 35. 18 – 5. 7. 28
= 35.(18-28)
=35.-10
=-350
2/ 45 – 5. (12 + 9)
=5.(9-12-9)
=5.-12
=-60
3/ 24. (16 – 5) – 16. (24 - 5)
= 24.16-24.5-16.24+16.5
=-24.5+16.5
=(-24+16).5
=-8.5
=-40
1, 35(18-28)=35.(-10)=-350
2, 45-30-45=-30
3, 24.16-24.5-16.24+16.5 = 16.5-24.5 = -40
\(\text{ 35 . 18 - 5 . 7 . 28 = 35 . 18 - 35 . 28}\)
\(\text{= 35 . (18 - 28)}\)
\(\text{= 35 . (-10)}\)
\(\text{= -350}\)
\(\text{45 - 5 . (12 + 9) = 45 - 5 . 9 + 5 . 12}\)
\(\text{= 45 - 45 + 60}\)
\(\text{= 60}\)
\(\text{24 . (16 - 5) - 16 . (24 - 5) = 24 . 16 - 24 . 5 - 16 . 24 + 16 . 5}\)
\(\text{= (24 . 16 - 16 . 24) + (16 . 5 - 24 . 5)}\)
\(\text{=0 + 5 . (16 - 24)}\)
\(\text{= 5. (-8)}\)
\(\text{= -40}\)
tính bằng cách thuận tiện nhất
137 x 3 + 137 x 97
25 x 5 + 15 x 5 + 60 x 5
428 x 97 + 428 x 2 + 428
45 x 9 + 45
64 x 4 + 18 x 4 + 9 x 8
995 x 5 + 4 x 5 + 5
655 x 6 - 355 x 6
245 x 327 - 245 x 18 - 9 x 245
462 x 4 - 62 x 4
564 x 8 - 64 x 4 x 2
37 x 18 9 x 74 + 100
679 x 78 + 679 x 23 - 679
35 : 7 - 21 : 7
( 25 x 36 ) : 9
12 : 4 + 20 : 4
Những câu nào có thể làm được thì em nên tự làm, câu nào khó hoặc chưa hiểu thì mới hỏi đề thầy cô, bạn bè giúp đỡ. Như vậy em mới vững kiến thức để còn học lên các lớp trên và thi cấp ba sau này
1 tính hợp lí
a. -5/18 + 32/45 - 9/10
b. 3/4 - (-5/8) + 9/4 - 3/16
c.11/125 - 17/18 - 5/7 + 4/9 + 17/14
d.-2 /5 - 3/10 - ( - 1/2)
Đây là phân số
a)\(\frac{-5}{18}+\frac{32}{45}-\frac{9}{10}\)
\(=\frac{-25}{90}+\frac{64}{90}-\frac{81}{90}\)
\(=-\frac{42}{90}=-\frac{7}{15}\)
b)\(\frac{3}{4}-\left(-\frac{5}{8}\right)+\frac{9}{4}-\frac{3}{16}\)
\(=\frac{3}{4}+\frac{5}{8}+\frac{9}{4}-\frac{3}{16}\)
\(=\frac{12}{16}+\frac{10}{16}+\frac{36}{16}-\frac{3}{16}\)
\(=\frac{58}{16}=\frac{29}{8}\)
c) \(\frac{11}{125}-\frac{17}{18}-\frac{5}{7}+\frac{4}{9}+\frac{17}{14}=\frac{11}{125}\)
d) \(\frac{-2}{5}-\frac{3}{10}-\left(-\frac{1}{2}\right)\)
\(=-\frac{2}{5}-\frac{3}{10}+\frac{1}{2}\)
\(=-\frac{4}{10}-\frac{3}{10}+\frac{5}{10}\)
\(=-\frac{2}{10}=-\frac{1}{5}\)
3. Tính bằng cách hợp lý: (Tính nhanh/thuận tiện). A) 7/3 + 11/5 - 4/3. B) 18/13 + 55/46 - 5/13. C) ( 27/25 - 4/9 ) - ( 2/25 - 5/9 ).
`a: =(7/3-4/3)+11/5=16/5`
`b: =(18/13-5/13)+55/46=1+55/46=101/46`
`c: =27/25-4/9-2/25+5/9=(27/25-2/25)+(5/9-4/9)=1+1/9=10/9`