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4. a, S
b Đ
c S
d Đ
6.
Cả 2 vòi chảy số phần bể là :
2/5 + 1/3 = 11/15 (bể)
2/3 + 3/4=17/12
9/4 + 3/5=57/20
5/24 + 1/4=11/24
3/15 - 5/35=2/35 18/27 - 2/6=1/3 37/12 - 3=1/12
11/9 x 3/22=1/6 7/13 x 13/7=1 4 x6/7=24/7
2/5 : 3/10=4/3 3/8 : 9/4=1/6 8/21 : 4/7=2/3
Lời giải:
$1+2+3+....+25$
$=(1+25)+(2+24)+(3+23)+(4+22)+(5+21)+(6+20)+(7+19)+(8+18)+(9+17)+(10+16)+(11+15)+(12+14)+13$
$=\underbrace{26+26+26+...+26}_{12}+13$
$=26\times 12+13=325$
\(\dfrac{29}{12}:\dfrac{1}{2}-\dfrac{5}{12}:\dfrac{1}{2}-\dfrac{1}{2}\)
\(=\left(\dfrac{29}{12}-\dfrac{5}{12}\right):\dfrac{1}{2}-\dfrac{1}{2}\)
\(=2:\dfrac{1}{2}-\dfrac{1}{2}\)
\(=4-\dfrac{1}{2}\)
\(=\dfrac{7}{2}\)
= ( 29/12 - 5/12 ) : 1/2 - 1/2
= 2 : 1/2 - 1/2
= 4 - 1/2
= 7/2
\(\dfrac{1}{2}+\dfrac{5}{6}+\dfrac{11}{12}+\dfrac{19}{20}+\dfrac{29}{30}+\dfrac{41}{42}+\dfrac{55}{56}+\dfrac{71}{72}+\dfrac{89}{90}=1-\dfrac{1}{2}+1-\dfrac{1}{6}+1-\dfrac{1}{12}+....+1-\dfrac{1}{90}=1+1+...+1-\left(\dfrac{1}{2}+\dfrac{1}{6}+...+\dfrac{1}{90}\right)=9-\left(\dfrac{1}{1x2}+\dfrac{1}{2x3}+...+\dfrac{1}{9x10}\right)=9-\left(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+....+\dfrac{1}{9}-\dfrac{1}{10}\right)=9-\left(1-\dfrac{1}{10}\right)=9-\dfrac{9}{10}=\dfrac{81}{10}\)
3 phút 20 giây = 200 giây
1 dm2 54 cm2>145cm2
105 dm2<1m250dm2
1 thế kỉ < 1000 năm
3 phút 20 giây = 3 x 60 + 20 (giây) = 200 (giây)
1dm2 54cm2 = 100 + 54 (cm2) = 154(cm2) > 145 (cm2)
105dm2 < 1m250dm2 = 100 + 50(dm2)= 150dm2
1 thế kỉ = 100 năm < 1000 năm
a, 21/11-9/19-3/13-12/38-24/22 =21/11-(9/19-3/13)-12/38-24/22 =207/143-12/38-24/22 =3075/2717-24/22 =111/2717 b,2/3+3/4+4/5+12/9+28/16+48/15 =17/12+4/5+12/9+28/16+48/15 =133/60+12/9+28/16+48/15 =71/20+28/16+48/15 =53/10+48/15 =17/2 c, 4/5-1/2-1/4-1/8-1/16-1/36 =3/10-1/4-1/8-1/36 =1/20-1/8-1/16-1/36 =-3/40-1/16-1/36 =-11/60-1/36=-119/720
1+1=2 2+2=4 12+12=24 24-12=12 9283-21=9262 55-29=26 928232-292=927940 200:2=100
1+1=2
2+2=4
12+12=24
24-12=12
9283-21=9262
55-29=26
928232-292=927940
200:2=100