Tính nhẩm
8 x 2 = ...... 8 x 4 = ...... 8 x 7 = ...... 8 x 5 = ......
16 : 8 = ..... 32 : 8 = ..... 56 : 8 = ..... 40 : 8 = .....
16 : 2 = ..... 32 : 4 = ..... 56 : 7 = ..... 40 : 5 = .....
Tính nhẩm
8 x 2 = ....... 8 x 3 = ....... 8 x 4 = ....... 8 x 5 = .......
16 : 8 = ..... 24 : 8 = ..... 32 : 8 = ..... 40 : 8 = .....
8 x 6 = ....... 8 x 7 = ....... 8 x 8 = ....... 8 x 9 = .......
48 : 8 = ..... 56 : 8 = ..... 64 : 8 = ..... 72 : 8 = .....
8 x 2 = 16 8 x 3 = 24 8 x 4 = 32 8 x 5 = 40
16 : 8 = 2 24 : 8 = 3 32 : 8 = 4 40 : 8 = 5
8 x 6 = 48 8 x 7 = 56 8 x 8 = 64 8 x 9 = 72
48 : 8 = 6 56 : 8 = 7 64 : 8 = 8 72 : 8 = 9
16 24 32 40
2 3 4 5
48 56 64 72
6 7 8 9
3+x/7+y=3/7 và x+y=20
A=2*4+2*4*8+4*8*16+8*16*32/3*4+2*6*8+4*12*16+8*24*32
Tinh gia tri cua phan so: A= 2 x 3 + 2 x 4 x 8 + 4 x 8 x 16 + 8 x 16 x 32/ 3x 4 + 2 x 6 x 8 + 4 x 12 x 16 + 8 x 24 x 32
Tính nhẩm
16 : 8 =
24 : 8 =
32 : 8 =
40 : 8 =
16 : 2 =
24 : 3 =
32 : 4 =
40 : 5 =
16 : 8 = 2
24 : 8 = 3
32 : 8 = 4
40 : 8 = 5
16 : 2 = 8
24 : 3 = 8
32 : 4 = 8
40 : 5 = 8.
Tính nhẩm:
8 x 5 =
8 x 4 =
8 x 6 =
8 x 3 =
40 : 8 =
32 : 8 =
48 : 8 =
24 : 8 =
40 : 5 =
32 : 4 =
48 : 6 =
24 : 3 =
Học sinh nhẩm và ghi:
8 x 5 = 40
8 x 4 = 32
8 x 6 = 48
8 x 3 = 24
40 : 8 = 5
32 : 8 = 4
48 : 8 = 6
24 : 8 = 3
40 : 5 = 8
32 : 4 = 8
48 : 6 = 8
24 : 3 = 8
(chú ý: mối quan hệ giữa nhân và chia)
Tính nhẩm:
8 x 5 = 40
8 x 4 = 32
8 x 6 = 48
8 x 3 = 24
40 : 8 = 5
32 : 8 = 4
48 : 8 = 6
24 : 8 = 3
40 : 5 = 8
32 : 4 = 8
48 : 6 = 8
24 : 3 = 8
Viết các biểu thức sau dưới dạng một lũy thừa:
6; 3/2 x 9/4 x 81/16
7; (1/2)^7 x 8 x 32 x 2^8
8; (-1/7)^4 x 125 x 5
9; 4 x 32 : (2^3 x 1/16)
10; (1/7)^2 x 1/7 x 49
\(\dfrac{3}{2}\times\dfrac{9}{4}\times\dfrac{81}{16}=\dfrac{3}{2}\times\left(\dfrac{3}{2}\right)^2\times\left(\dfrac{3}{2}\right)^4=\left(\dfrac{3}{2}\right)^7\)
\(\left(\dfrac{1}{2}\right)^7\times8\times32\times2^8=\left(\dfrac{1}{2}\right)^7\times2^3\times2^5\times2^8=\left(\dfrac{1}{7}\right)^7\times2^{16}\)
\(\left(-\dfrac{1}{7}\right)^4\times125\times5=\left(-\dfrac{1}{7}\right)^4\times5^3\times5=\left(-\dfrac{1}{7}\right)^4\times5^4\)
\(4\times32:\left(2^3\times\dfrac{1}{16}\right)=2^2\times2^5:2^3:2^{-4}=2^0\)
\(\left(\dfrac{1}{7}\right)^2\times\dfrac{1}{7}\times49=\left(\dfrac{1}{7}\right)^3\times7^3=1^3\)
6, \(\dfrac{3}{2}\times\dfrac{9}{4}\times\dfrac{81}{16}=\dfrac{3}{2}\times\left(\dfrac{3}{2}\right)^2\times\left(\dfrac{3}{2}\right)^4\)
7,\(\left(\dfrac{1}{2}\right)^7\times8\times32\times2^8=\left(\dfrac{1}{2}\right)^7\times2^3\times2^5\times2^8\)
8,\(\left(-\dfrac{1}{7}\right) ^4\times125\times5=\left(\dfrac{1}{7}\right)^4\times5^3\times5\)
9,\(4\times32:\left(2^3\times\dfrac{1}{16}\right)=2^2\times2^5:\left[2^3\times\left(\dfrac{1}{2}\right)^4\right]\)
10, \(\left(\dfrac{1}{7}\right)^2\times\dfrac{1}{7}\times49=\left(\dfrac{1}{7}\right)^2\times\dfrac{1}{7}\times7^2\)
6) \(...=\dfrac{3}{2}.\left(\dfrac{3}{2}\right)^2.\left(\dfrac{3}{2}\right)^4=\left(\dfrac{3}{2}\right)^7\)
7) \(...=2^{-7}.2^3.2^5.2^8=2^9\)
8) \(...=\left(\dfrac{1}{7}\right)^4.5^3.5=\left(\dfrac{1}{7}\right)^4.5^4\)
9) \(...=2^2.2^5:\left(2^3.2^{-4}\right)=2^8\)
10) \(...=\left(\dfrac{1}{7}\right)^3.\left(\dfrac{1}{7}\right)^2=\left(\dfrac{1}{7}\right)^5\)
3.x + 5/16 + 2.x + 7/8=4+3.x/32 + 2.x
Ta có: \(\dfrac{3x+5}{16}+\dfrac{2x+7}{8}=\dfrac{4+3x}{32}+2x\)
\(\Leftrightarrow\dfrac{2\left(3x+5\right)}{32}+\dfrac{4\left(2x+7\right)}{32}=\dfrac{4+3x}{32}+\dfrac{64x}{32}\)
Suy ra: \(6x+10+8x+28=4+3x+64x\)
\(\Leftrightarrow67x+4-14x-38=0\)
\(\Leftrightarrow53x=34\)
hay \(x=\dfrac{34}{53}\)
1/1-x +1/1+x +2/1+x^2 +4/1+x^4 +8/1+x^8 +16/1+x^16 = 32/1-x^32 c/m
\(\dfrac{1}{1-x}+\dfrac{1}{1+x}+\dfrac{2}{1+x^2}+\dfrac{4}{1+x^4}+\dfrac{8}{1+x^8}+\dfrac{16}{1+x^{16}}\)
\(=\dfrac{1+x+1-x}{1-x^2}+\dfrac{2}{1+x^2}+\dfrac{4}{1+x^4}+\dfrac{8}{1+x^8}+\dfrac{16}{1+x^{16}}\)
\(=\dfrac{2+2x^2+2-2x^2}{1-x^4}+\dfrac{4}{1+x^4}+\dfrac{8}{1+x^8}+\dfrac{16}{1+x^{16}}\)
\(=\dfrac{4+4x^4+4-4x^4}{1-x^8}+\dfrac{8}{1+x^8}+\dfrac{16}{1+x^{16}}\)
\(=\dfrac{8+8x^8+8-8x^8}{1-x^{16}}+\dfrac{16}{1+x^{16}}\)
\(=\dfrac{16+16x^{16}+16-16x^{16}}{1-x^{32}}=\dfrac{32}{1-x^{32}}\)
Tính:\(\frac{1}{x}+\frac{1}{x+1}+\frac{2}{1+x^2}+\frac{4}{1+x^4}+\frac{8}{1+x^8}+\frac{16}{1+x^{16}}+\frac{32}{1+x^{32}}\)