1,Tính
A=5.(22.32)9.(22)6-2.(3.22)14.34/5.228.318-7.229.318
Thực hiện phép tính:
A= 5.(22.32)9.(22)6-2.(22.3)14.34 / 5.228. 318 - 7.229.318
\(A=\dfrac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(=\dfrac{5.2^{18}.3^{18}.2^{12}-2.2^{28}.3^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(=\dfrac{5.2^{20}.3^{18}-2^{29}.3^{18}}{2^{28}.3^{18}\left(5-7.2\right)}\)
\(=\dfrac{2^{29}.3^{18}\left(5.2-1\right)}{2^{28}.3^{18}\left(5-14\right)}=\dfrac{2.9}{-9}=-2\)
Thực hiện phép tính:
a) 2 2 . 3 2 - 5 . 2 . 3 ;
b) 5 2 . 2 + 20 : 2 2 ;
c) 7 2 . 15 - 5 . 7 2 ;
d) 3 . 5 2 + 15 . 2 2 - 1 2 . 3
Thực hiện phép tính:
a, 2 2 . 3 2 - 5 . 2 . 3
b, 5 2 . 2 + 20 : 2 2
c, 7 2 . 15 - 5 . 7 2
d, 3 . 5 2 + 15 . 2 2 - 1 2 . 3
Thực hiện phép tính (tính hợp lý nếu có thể):
a) 23.125 + 78.125 - 125
b) 37.46 + 18.54 - 17.46 + 54.2
c) 3.22 - 23 : 2 + 22
d) 73.9 + 32.74 - 45.539
a) 23.125+78.125-125
= (23+78-1).125
= 100.125
= 12500
b) 37.46+18.54-17.46+54.2
= (37-17).46+(18+2).54
= 20.46+20.54
= 20.(46+54)
= 20.100
= 2000
c) 3.22-23:2+22
= 3.22-22+22
= 3.22
= 3.4
= 12
d) 73.9+32.74-45.539
= 73.9+9.74-5.9.72.11
= 9.(73+74)-5.9.72.11
=9.2744-9.2695
= 9.(2744-2695)
= 9.49
= 441
a/
=125(23+78-1)=125.100=12500
b/
=46(37-17)+54(18+2)
=20(46+54)=20.100=2000
c/
=3.22-22+22=3.4=12
d/
=73.32+32.74-5.32.72.11=
=32.72(7+72-55)=32.72=441
a)
23.125 + 78.125 -125
=125.(23+78-1)
=125.100
=12500
b)
37.46+18.54-17.46+54.2
=46.(37-17)+54.(18+2)
=46.20+54.20
=(46+54).20
=100.20
=2000
c)
3.22-23:2+22
=3.22-22+22
=3.22-(22-22)
=3.22
=3.4
=12
d)
73.9+32.74-45.539
=73.9+9.73.7-9.5.72.11
=9.73.(1+7)-9.72.(5.11)
=9.72.7.8-9.72.55
=9.72.(7.8-55)
=9.49.(56-55)
=441.1
=441
b1: th phép tính a. 10/11 : 19/22 + 9/11 : 19/22 b. 20/9 . 84 - 2/9 . 84 c. (1/2 - 1/3) . (5 - 1/4) d. (1/2 - 1/3 - 1/6) . (3/202 + 4/203 + 5/204) b2: th phép tính a. 4 3/8 + 5 2/3 ( hỗn số) b. 2 3/8 + 1 1/4 + 3 6/7 (hỗn số) c. 2 3/8 - 1 1/4 + 5 1/3 (hỗn số) d. 3 5/6 + 2 1/6 . 6 (hỗn số) e. 3 1/2 + 4 5/7 - 5 5/14 (hỗn số) f. 4 1/2 + 1/2 : 5 1/2 (hỗn số) giúp với ạ
2:
a: =4+3/8+5+2/3
=9+3/8+2/3
=216/24+9/24+16/24
=216/24+25/24
=241/24
b; =2+3/8+1+1/4+3+6/7
=6+3/8+1/4+6/7
=6+5/8+6/7
=419/56
c: \(=2+\dfrac{3}{8}-1-\dfrac{1}{4}+5+\dfrac{1}{3}\)
=6+3/8-1/4+1/3
=6+1/8+1/3
=6+11/24
=155/24
d: \(=3+\dfrac{5}{6}+6\cdot\dfrac{13}{6}\)
=3+13+5/6
=16+5/6
=101/6
e: =3+1/2+4+5/7-5-5/14
=3+4-5+1/2+5/7-5/14
=2+7/14+10/14-5/14
=2+12/14
=2+6/7=20/7
f: =9/2+1/2:11/2
=9/2+1/11
=99/22+2/22=101/22
b1: th phép tính a. 10/11 : 19/22 + 9/11 : 19/22 b. 20/9 . 84 - 2/9 . 84 c. (1/2 - 1/3) . (5 - 1/4) d. (1/2 - 1/3 - 1/6) . (3/202 + 4/203 + 5/204) b2: th phép tính a. 4 3/8 + 5 2/3 ( hỗn số) b. 2 3/8 + 1 1/4 + 3 6/7 (hỗn số) c. 2 3/8 - 1 1/4 + 5 1/3 (hỗn số) d. 3 5/6 + 2 1/6 . 6 (hỗn số) e. 3 1/2 + 4 5/7 - 5 5/14 (hỗn số) f. 4 1/2 + 1/2 : 5 1/2 (hỗn số) giúp với ạ
2:
a: =4+3/8+5+2/3
=9+3/8+2/3
=216/24+9/24+16/24
=216/24+25/24
=241/24
b; =2+3/8+1+1/4+3+6/7
=6+3/8+1/4+6/7
=6+5/8+6/7
=419/56
c: \(=2+\dfrac{3}{8}-1-\dfrac{1}{4}+5+\dfrac{1}{3}\)
=6+3/8-1/4+1/3
=6+1/8+1/3
=6+11/24
=155/24
d: \(=3+\dfrac{5}{6}+6\cdot\dfrac{13}{6}\)
=3+13+5/6
=16+5/6
=101/6
e: =3+1/2+4+5/7-5-5/14
=3+4-5+1/2+5/7-5/14
=2+7/14+10/14-5/14
=2+12/14
=2+6/7=20/7
f: =9/2+1/2:11/2
=9/2+1/11
=99/22+2/22=101/22
Bài 1: Tính :
4/5 x 6/7 2/9 x 1/2 1/2 x 8/3
7/9 x 6/5 8/7 x 5/9 10/11 x 22/15
Bài 2: Rút gọn rồi tính:
2/6 x 5/3 11/9 x 5/10 3/9 x 6/8
4/9 x 12/16 25/15 x 6/7 6/10 x 15/20
Bài 2:
a: 2/6x5/3=10/18=5/9
b: 11/9x5/10=55/90=11/18
c: 3/9x6/8=1/3x3/4=1/4
d: 4/9x12/16=48/144=1/3
e: 25/15x6/7=5/3x6/7=30/21=10/7
f: 6/10x15/20=90/200=9/20
Bài 1
4/5 x 6/7= 24/35
2/9 x 1/2= 2/18= 1/9
1/2 x 8/3= 8/6= 4/3
7/9 x 6/5= 42/45= 14/15
8/7 x 5/9= 40/63
10/11 x 22/15= 220/165= 4/3
Bài 2
2/6 x 5/3= 1/3 x 5/3=5/9
11/9 x 5/10= 11/9 x 1/2= 11/18
3/9 x 6/8= 1/3 x 3/4 =3/12= 1/4
4/9 x 12/16= 4/9 x 3/4= 12/36= 1/3
25/15 x 6/7= 5/3 x 6/7= 30/21= 10/7
6/10 x 15/20= 3/5 x 3/4= 9/20
bài 1
4/5 x 6/7 = 24/35
2/9 x 1/2 = 1/9
1/2 x 8/3 = 4/3
7/9 x 6/5 = 14/15
8/7 x 5/9 = 14/15
8/7 x 5/9 = 40/63
10/11 x 22/15 = 4/3
tính hợp lí:
a,(6 - 2/3 +1/2) - (5+5/3 -3/2) - ( 3 - 7/3 +5/2)
b,5/9 : (1/11 - 5/22)+ 5/9 : (1/15 - 2/3)
a) \(\left(6-\frac{2}{3}+\frac{1}{2}\right)-\left(5+\frac{5}{3}-\frac{3}{2}\right)-\left(3-\frac{7}{3}+\frac{5}{2}\right)\)
\(=6-\frac{2}{3}+\frac{1}{2}-5-\frac{5}{3}+\frac{3}{2}-3+\frac{7}{3}-\frac{5}{2}\)
\(=\left(-\frac{2}{3}-\frac{5}{3}+\frac{7}{3}\right)+\left(\frac{1}{2}+\frac{3}{2}-\frac{5}{2}\right)+\left(6-5-3\right)\)
\(=0+2-\frac{5}{2}+\left(-2\right)=\left(2-2\right)-\frac{5}{2}=0-\frac{5}{2}=-\frac{5}{2}\)
bài 1 thực hiện phép tính
{210:[16+3.(6+3.22)]}-3
\(\left\{210:\left[16+3.\left(6+3.2^2\right)\right]\right\}-3\)
\(=\left\{210:\left[16+3.\left(6+3.4\right)\right]\right\}-3\)
\(=\left\{210:\left[16+3.\left(6+12\right)\right]\right\}-3\)
\(=\left\{210:\left[16+3.18\right]\right\}-3\)
\(=\left\{210:\left[16+54\right]\right\}-3\)
\(=\left\{210:70\right\}-3\)
\(=3-3\)
\(=0\)
Chứng minh rằng: a, 1/12.22+5/22.32+5/32.42+...+5/92.102 <1 b,1/3+2/32+3/33+...+100/3100 <3/4
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