3+3+6+9+15+.........+267 = ?
4/15 +1/2
51/9 - 2/3
3/4 x 15/26
7/3 : 5/14
4/15 +1/2=23/30
51/9 - 2/3=5
3/4 x 15/26=45/104
7/3 : 5/14=98/15
4/15 + 1/2
= 8/30 + 15/30
= 23/30
51/9 - 2/3
= 51/9 - 6/9
= 45/9
= 5
3/4 × 15/26
= 45/104
7/3 : 5/14
= 7/3 × 14/5
= 98/15
4/15 1/2
51/9 - 2/3
3/4 x 15/26
7/3 : 5/14
G=3/(3 x 6 x 9) + 3/(6 x 9 x 12) + 3/(9 x 12 x 15) + 3/(12 x 15 x 18)
\(\frac{3}{3.6.9}+\frac{3}{6.9.12}+\frac{3}{9.12.15}+\frac{3}{12.15.18}=\frac{3}{6}\left(\frac{6}{3.6.9}+\frac{6}{6.9.12}+\frac{6}{9.12.15}+\frac{6}{12.15.18}\right)\)
= \(\frac{1}{2}\left(\frac{1}{3.6}-\frac{1}{6.9}+\frac{1}{6.9}-\frac{1}{9.12}+\frac{1}{9.12}-\frac{1}{12.15}+\frac{1}{12.15}-\frac{1}{15.18}\right)\)
\(=\frac{1}{2}\left(\frac{1}{3.6}-\frac{1}{15.18}\right)=\frac{1}{2}.\frac{14}{270}=\frac{7}{270}\)
\(\dfrac{45^{10}\cdot5^{20}}{75^{15}}\)
\(\dfrac{6^6+6^3+3^3+3^6}{-73}\)
\(\dfrac{27^7+3^{15}}{9^9-27}\)
\(\dfrac{8^{20}+4^{20}}{4^{25}+64^5}\)
\(\dfrac{45^{10}\cdot5^{20}}{75^{15}}=\dfrac{\left(3^2\cdot5\right)^{10}\cdot5^{20}}{\left(3\cdot5^2\right)^{15}}=\dfrac{3^{20}\cdot5^{10}\cdot5^{20}}{3^{15}\cdot5^{30}}=3^5=243\\ \dfrac{6^6+6^3+3^3+3^6}{-73}=\dfrac{46656+216+27+729}{-73}=-\dfrac{47628}{73}\\ \dfrac{27^7+3^{15}}{9^9-27}=\dfrac{\left(3^3\right)^7+3^{15}}{\left(3^2\right)^9-3^3}=\dfrac{3^{21}+3^{15}}{3^{18}-3^3}=\dfrac{3^{15}\left(3^6+1\right)}{3^3\left(3^{15}-1\right)}=\dfrac{3^5\cdot730}{3^{15}-1}\\ \dfrac{8^{20}+4^{20}}{4^{25}+64^5}=\dfrac{\left(2^3\right)^{20}+\left(2^2\right)^{20}}{\left(2^2\right)^{25}+\left(2^6\right)^5}=\dfrac{2^{60}+2^{40}}{2^{50}+2^{30}}=\dfrac{2^{40}\left(2^{20}+1\right)}{2^{30}\left(2^{20}+1\right)}=2^{10}=1024\)
\(\dfrac{-1}{3}.\dfrac{2}{5}\)
\(\dfrac{-3}{7}.\dfrac{4}{15}\)
\(\dfrac{-9}{3}.\dfrac{15}{27}\)
\(\dfrac{-5}{6}.\)( -12 )
\(\dfrac{-12}{4}.\dfrac{8}{9}\)
\(-3.\dfrac{7}{6}\)
\(\dfrac{-15}{9}.\dfrac{27}{5}\)
\(-9.\dfrac{4}{27}\)
-2/15
-4/35
-5/3
10
-8/3
-7/2
-9
-4/3
Chúc em học giỏi
\(=\dfrac{-2}{15}\\ =\dfrac{-4}{35}\\ =-1\\ =10\\ =\dfrac{-8}{3}\\ =-7\\ =-9\\ =\dfrac{-4}{3}\)
tinh C=9*5^20*27^9-3*9^15*25^9/7*3^29*125^6-3*3^9*15^19
(-3)^6 . 15^5 + 9^3 . (-15)^6/(-3)^10 . 5^5 . 2^3
Ta có: \(\dfrac{\left(-3\right)^6\cdot15^5+9^3\cdot\left(-15\right)^6}{\left(-3\right)^{10}\cdot5^5\cdot2^3}\)
\(=\dfrac{3^6\cdot3^5\cdot5^5+3^6\cdot3^6\cdot5^6}{3^{10}\cdot5^5\cdot2^3}\)
\(=\dfrac{3^{11}\cdot5^5+3^{11}\cdot3\cdot5^5\cdot5}{3^{10}\cdot5^5\cdot2^3}\)
\(=\dfrac{3^{11}\cdot5^5\left(1+3\cdot5\right)}{3^{10}\cdot5^5\cdot2^3}\)
\(=\dfrac{3\cdot9}{8}=\dfrac{27}{8}\)
a ) - 8 / 24 + - 4 / 12
b ) - 20 / 35 + 16 / 24
c ) - 3 / 9 + - 6 / 15
d ) 3 / 13 - 4 / 10
e ) 5 / 17 - 9 / 15
g ) 9 / 18 - 6 / 15 + 3 / - 9
h ) 5 / 4 - 1 / 2 + - 7 / 8
câu a :
\(\dfrac{-8}{24}+\dfrac{-4}{12}=\dfrac{-1}{3}+\dfrac{-1}{3}=\dfrac{-2}{3}\)
câu b :
\(\dfrac{-20}{35}+\dfrac{16}{24}=\dfrac{-4}{7}+\dfrac{2}{3}=\dfrac{2}{21}\)
câu c :
\(\dfrac{-3}{9}+\dfrac{-6}{15}=\dfrac{-1}{3}+\dfrac{-2}{5}=\dfrac{-11}{15}\)
câu d :
\(\dfrac{3}{13}-\dfrac{4}{10}=\dfrac{3}{13}-\dfrac{2}{5}=\dfrac{-11}{65}\)
câu e :
\(\dfrac{5}{17}-\dfrac{9}{15}=\dfrac{5}{17}-\dfrac{3}{5}=\dfrac{-26}{85}\)
câu g :
\(\dfrac{9}{18}-\dfrac{6}{15}+\dfrac{3}{-9}=\dfrac{9}{18}-\dfrac{6}{15}+\dfrac{-3}{9}\\ =\dfrac{1}{2}-\dfrac{2}{5}+\dfrac{-1}{3}=\dfrac{-7}{30}\)
câu h :
\(\dfrac{5}{4}-\dfrac{1}{2}+\dfrac{-7}{8}=\dfrac{10}{8}-\dfrac{4}{8}+\dfrac{-7}{8}=\dfrac{-1}{8}\)
Tính nhẩm:
18 − 9 = ..... 17 − 9 = .....
16 − 9 = ..... 15 − 6 = .....
15 − 7 = ..... 15 − 8 = .....
11 − 7 = ..... 12 − 8 = .....
13 − 9 = ..... 11 − 6 = .....
14 − 6 = ..... 11 − 3 = .....
Phương pháp giải:
Trừ nhẩm các số rồi điền kết quả vào chỗ trống.
Lời giải chi tiết:
18 − 9 = 9 17 − 9 = 8
16 − 9 = 7 15 − 6 = 9
15 − 7 = 8 15 − 8 = 7
11 − 7 = 4 12 − 8 = 4
13 − 9 = 4 11 − 6 = 5
14 − 6 = 8 11 − 3 = 8
18-9=9; 17-9=8; 16-9=7; 15-6=9; 15-7=8; 15-8=7.