Tính (x+1)^6 - (x-1)^5
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 nhanh
1/1 x 2 + 1/ 2 x 3 + 1/ 3 x 4 + 1/ 4 x 5 + 1/ 5 x 6 + 1/ 6 x 7 + 1/ 7 x 8.
\(\dfrac{1}{1\times2}+\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+\dfrac{1}{4\times5}+\dfrac{1}{5\times6}+\dfrac{1}{6\times7}+\dfrac{1}{7\times8}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}\)
\(=1-\dfrac{1}{8}=\dfrac{7}{8}\)
Tính:
a) (6 : \(\dfrac{3}{5}\) \(1\dfrac{1}{6}\) x \(\dfrac{6}{7}\) ) : ( \(4\dfrac{1}{5}\) x \(\dfrac{10}{11}\) + \(5\dfrac{2}{11}\) )
b) (\(1-\dfrac{1}{2}\)) x (\(1-\dfrac{1}{3}\)) x (\(1-\dfrac{1}{4}\)) x ..... x (\(1-\dfrac{1}{2003}\)) x (\(1-\dfrac{1}{2007}\))
Tính nhẩm:
6 x 4 =
6 x 2 =
6 x 5 =
6 x 1 =
4 : 6 =
12 : 6 =
30 : 6 =
6 : 6 =
24 : 4 =
12 : 2 =
30 : 5 =
6 : 1 =
Học sinh nhẩm và ghi kết quả như sau:
6 x 4 = 24
6 x 2 = 12
6 x 5 = 30
6 x 1 = 6
24 : 6 = 4
12 : 6 = 2
30 : 6 = 5
6 : 6 = 1
24 : 4 = 6
12 : 2 = 6
30 : 5 = 6
6 : 1 = 6
(có thể nêu nhận xét: lấy tích chia cho một thừa số được thừa số kia)
Tính nhẩm:
a) 2 x 3 6 : 2 6 : 3
b) 5 x 4 20 : 5 20 : 4
c) 2 x 1 2 : 2 2 : 1
d) 5 x 1 5 : 5 5 : 1
Tính bằng 2 cách:
(2/3 x 4/5) x 5/6
(1/2 + 1/3) x 1/5
(2/3 x 4/5) x 5/6
(1x2 + 1/3) x 1/5
(2/3 x 4/5) x 5/6
= 8/15 x 5/6
= 4/9
(2/3 x 4/5) x 5/6
= (5/6 x 4/5) x 2/3
= 2/3 x 2/3
= 4/9
(1/2 + 1/3) x 1/5
= 5/6 x 1/5
= 1/6
(1/2 + 1/3) x 1/5
= (1/2 x 1/5) + (1/3 x 1/5)
= 1/10 + 1/15
= 1/6
4A6?
Đây bạn nhé
cách1\(\left(\frac{2}{3}\times\frac{4}{5}\right)\times\frac{5}{6}\)=\(\frac{8}{15}\times\frac{5}{6}\)=\(\frac{4}{9}\)cách2 =\(\left(\frac{2}{3}\times\frac{4}{5}\right)\times\frac{5}{6}\)\(\frac{2}{3}\times\frac{4}{5}\times\frac{5}{6}\)=\(\frac{40}{90}\)=\(\frac{4}{9}\)
cách1\( \left(\frac{1}{2}+\frac{1}{3}\right)\times\frac{1}{5}\)= \(\frac{5}{6}\times\frac{1}{5}\)=\(\frac{1}{6}\)cách2\( \left(\frac{1}{2}+\frac{1}{3}\right)\times\frac{1}{5}\)=\(\frac{1}{2}\times\frac{1}{5}+\frac{1}{3}\times\frac{1}{5}\)=\(\frac{1}{10}+\frac{1}{15}\)=\(\frac{25}{150}\)=\(\frac{1}{6}\)
cách1\(\left(\frac{2}{3}\times\frac{4}{5}\right)\times\frac{5}{6}\)=\(\frac{2}{3}\times\left(\frac{4}{5}\times\frac{5}{6}\right)\)=\(\frac{2}{3}\times\frac{2}{3}\)=\(\frac{4}{9}\) cách 2 \(\left(\frac{2}{3}\times\frac{4}{5}\right)\times\frac{5}{6}\)=\(\frac{2}{3}\times\frac{4}{5}\times\frac{5}{6}\)=\(\frac{2\times4\times5}{3\times5\times6}\)=\(\frac{2\times4\times5}{3\times5\times2\times3}\)=\(\frac{4}{9}\)
cách1\(\left(1\times2+\frac{1}{3}\right)\times\frac{1}{5}\)=\(\frac{7}{3}\times\frac{1}{5}\)=\(\frac{7}{15}\) cách2\(\left(1\times2+\frac{1}{3}\right)\times\frac{1}{5}\)=\(1\times\left(2+\frac{1}{3}\right)\times\frac{1}{5}\)=\(1\times\frac{7}{3}\times\frac{1}{5}\)=\(\frac{7}{3}\times\frac{1}{5}\)=\(\frac{7}{15}\)
/HT\
Bài 3: Tính bằng hai cách
a 1/8 x 5/6 + 5/6 x 2/3
b 7/5 x 3/4 - 1/2 x 3/4
c (5/6 + 5/8) x 2/3
a,C1
(5/6 + 5/8) x 2/3
= 35/24 x 2/3
=35/36
C2
(5/6 + 5/8) x 2/3
= 5/6x2/3 + 5/8x2/3
= 10/18 + 10/24
= 35/36
b,C1
7/5 x 3/4 - 1/2 x 3/4
= 21/20 - 3/8
= 27/40
C2
7/5 x 3/4 - 1/2 x 3/4
=3/4 x (7/5-1/2)
=3/4x9/10
=27/40
Bài 3: Tính bằng hai cách
a 1/8 x 5/6 + 5/6 x 2/3
b 7/5 x 3/4 - 1/2 x 3/4
c (5/6 + 5/8) x 2/3
a, 5/6 x (1/8x2/3)
=5/6 x 1/12
=5/72
b,(7/5 - 1/2) x 3/4
=0,9 x 3/4
=3,06
c,(5/6+5/8) x 2/3
=70/48 x 2/3
=35/36
a, 5/6 x (1/8x2/3)
=5/6 x 1/12
=5/72
b,(7/5 - 1/2) x 3/4
=0,9 x 3/4
=3,06
c,(5/6+5/8) x 2/3
=70/48 x 2/3
=35/36
Tính giá trị biểu thức
( 6 : 3/5 - 1 1/6 x 6/7 ) : ( 4 1/5 x 10/11 + 5 2/11 )
\(\left(6\div\dfrac{3}{5}-1\dfrac{1}{6}\times\dfrac{6}{7}\right)\div\left(4\dfrac{1}{5}\times\dfrac{10}{11}+5\dfrac{2}{11}\right)\)
\(=\left(6\times\dfrac{5}{3}-\dfrac{7}{6}\times\dfrac{6}{7}\right)\div\left(\dfrac{21}{5}\times\dfrac{10}{11}+\dfrac{57}{11}\right)\)
\(=\left(10-1\right)\div\left(\dfrac{210}{55}+\dfrac{57}{11}\right)\)
\(=9\div9\)
\(=1\)
Tính nhẩm
a) 6 x 2 = ..... 6 x 3 = ..... 6 x 8 = ..... 6 x 1 = .....
6 x 4 = ..... 6 x 5 = ..... 6 x 9 = ..... 1 x 6 = .....
6 x 6 = ..... 6 x 7 = ..... 6 x 10 = ..... 0 x 6 = .....
b) 6 x 5 = ..... 6 x 4 = ..... 3 x 6 = ..... 2 x 6 = .....
5 x 6 = ..... 4 x 6 = ..... 6 x 3 = ..... 6 x 2 = .....
a) 6 x 2 = 12 6 x 3 = 18 6 x 8 = 48 6 x 1 = 6
6 x 4 = 24 6 x 5 = 30 6 x 9 = 54 1 x 6 = 6
6 x 6 = 36 6 x 7 = 42 6 x 10 = 60 0 x 6 = 0
b) 6 x 5 = 30 6 x 4 = 24 3 x 6 = 18 2 x 6 = 12
5 x 6 =30 4 x 6 = 24 6 x 3 = 18 6 x 2 =12