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\(\dfrac{15}{8}\) : \(\dfrac{5}{20}\) - \(\dfrac{7}{8}\) : \(\dfrac{1}{4}\)
= \(\dfrac{15}{8}\) : \(\dfrac{1}{4}\) - \(\dfrac{7}{8}\) : \(\dfrac{1}{4}\)
= ( \(\dfrac{15}{8}\) - \(\dfrac{7}{8}\)) : \(\dfrac{1}{4}\)
= \(\dfrac{8}{8}\) \(\times\) 4
= 4
1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20
=(1+19)+(2+18)+(3+17)+(4+16)+(5+15)+(6+14)+(7+13)+(8+12)+(9+11)+20+10
=20+20+20+20+20+20+20+20+20+20+10
=20×10+10
=200+10
=210
= ( 1 + 19 ) + ( 2 + 18 ) + ( 3 + 17 ) + (4 + 16 ) + ( 5 + 15 ) + ( 6 + 14 ) + ( 7 + 13 ) + ( 8 + 12) + ( 9+ 11 ) + 20
= 20 + 20 + 20 +20 + 20 +20 + 20 + 20 + 20 +20
= 20 x 10
= 200
tui đầu tiên đó
Bài 2: Tính bằng cách thuận tiện nhất :
1/2+2/4+3/6+4/8+5/10+6/12=3
1/3+1/4+1/5+8/10+20/15+20/30=43/12
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) 234 + 567 + 766 + 433
= (234 + 766) + (567 + 433)
= 1 000 + 1 000
= 2 000
b) 2 023 + 7 602 - 1 023 + 1 398
= (2 023 - 1 023) + (7 602 + 1 398)
= 1 000 + 9 000
= 10 000
c) 4 789 - 2 567 - 7 433 + 5 211
= (4 789 + 5 211) - (2 567 + 7 433)
= 10 000 - 10 000
= 0
c, 5 - 10 + 15 - 20 + 25 - 30 + 35 - 40 + 50 - 55 + 60 - 65 + 70
= 5 + (15 - 10) + (25 - 20) + (35 - 30) + (50 - 40) + (60 - 55) + (70 - 65)
= 5 + 5 + 5 + 5 + 10 + 5 + 5
= (5 + 5) + (5 + 5) + 10 + (5 + 5)
= 10 + 10 + 10 + 10
= 10 $\times$ 4
= 40
a, 234 + 567 + 766 + 433
= (234 + 766) + (567 + 433)
= 1000 + 1000
= 2000
b, 2023 + 7602 - 1023 + 1398
= (2023 - 1023) + (7602 + 1398)
= 1000 + 9000
= 10000
c, 4789 - 2567 - 7433 + 5211
= (4789 + 5211) - (2567 + 7433)
= 10000 - 10000
= 0
d, 5 - 10 + 15 - 20 + 25 - 30 + 35 - 40 + 50 - 55 + 60 - 65 + 70
= (70 -65) + (60 - 55) +(50 - 40) + (35 - 30) + (25 - 20) + (15 - 10) + 5
= 5 + 5 + 10 + 5 + 5 + 5 + 5
= 5 x 6 + 10
= 40
a) 275 + 176 + 324 + 925
= (275 + 925) + (176 + 324)
= 1200 + 500
= 1700
b)
( 5 + 10 + 15 + 20 + 25 + 30 + 35 ) x ( 42 - 6 x 7 )
= ( 5 + 10 + 15 + 20 + 25 + 30 + 35 ) x ( 42 - 42 )
= ( 5 + 10 + 15 + 20 + 25 + 30 + 35 ) x 0
= 0
a) 275 + 176 + 324 + 925
= ( 275 + 925 ) + ( 176 + 324 )
= 1200 + 500
= 1700
b) ( 5 + 10 + 15 + 20 + 25 + 30 + 350) x ( 42 - 6 x 7 )
= 140 x ( 42 - 42 )
= 140 x 0
= 0
\(\frac{1}{2}-\frac{1}{6}-\frac{1}{12}-\frac{1}{20}-\frac{1}{30}=\frac{1}{1\cdot2}-\frac{1}{2\cdot3}-\frac{1}{3\cdot4}-\frac{1}{4\cdot5}-\frac{1}{5\cdot6}\)
\(=\frac{1}{1}-\frac{1}{2}-\frac{1}{2}-\frac{1}{3}-\frac{1}{3}-\frac{1}{4}-\frac{1}{4}-\frac{1}{5}-\frac{1}{5}-\frac{1}{6}\)
\(=\frac{1}{1}-\frac{1}{6}=\frac{5}{6}\)
NHỚ K MK NHA. CHÚC BẠN HỌC TỐT
1/2 - 1/6 - 1/12 - 1/20 - 1/30
=1/1x2 - 1/2x3- 1/3x4 - 1/4x5 - 1/5x6
=1-1/2 + 1/2-1/3 + 1/3-1/4 + 1/4-1/5 +1/5-1/6
=1-1/6
=5/6
\(a,MSC:4\\ \dfrac{1}{2}=\dfrac{1\times2}{2\times2}=\dfrac{2}{4}\)
\(\dfrac{3}{4}\) giữ nguyên
\(2< 3\\ =>\dfrac{1}{2}< \dfrac{3}{4}\)
\(b,MSC:20\\ \dfrac{5}{4}=\dfrac{5\times5}{4\times5}=\dfrac{25}{20}\)
\(\dfrac{15}{20}\) giữ nguyên
\(25>15\\ \Rightarrow\dfrac{5}{4}>\dfrac{15}{20}\)
\(c,MSC:35\\ \dfrac{5}{7}=\dfrac{5\times5}{7\times5}=\dfrac{25}{35}\\ \dfrac{7}{5}=\dfrac{7\times7}{5\times7}=\dfrac{49}{35}\\ 25< 49\\ \Rightarrow\dfrac{5}{7}< \dfrac{7}{5}\)
1/3+1/4+1/5+8/10+15/20+20/30
= 1/3+1/4+1/5+4/5+3/4+2/3
= (1/3+2/3)+(1/4+3/4)+(1/5+4/5)
= 1 + 1 + 1
=3