Tính bằng cách thuận tiên nhất:
10 . 46 . 95 + 69 . 120 : 84 . 312 - 611
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b:\(1+2+3+...+n=\dfrac{n\left(n+1\right)}{2}\)
c: \(1+3+5+...+37\)
Số số hạng là:
(37-1):2+1=19(số)
Tổng là: \(\dfrac{38\cdot19}{2}=19\cdot19=361\)
\(\frac{1}{7}\cdot\frac{2}{3}+\frac{5}{6}:\frac{3}{10}-\frac{2}{3}\cdot\frac{3}{7}\)
\(=\left(\frac{1}{7}\cdot\frac{2}{3}-\frac{2}{3}\cdot\frac{3}{7}\right)+\frac{5}{6}\cdot\frac{10}{3}\)
\(=\frac{2}{3}\cdot\left(-\frac{2}{7}\right)+\frac{5}{3}\cdot\frac{5}{3}\)
\(=-\frac{4}{21}+\frac{25}{6}=\frac{167}{42}\)
Xin lỗi không nhanh được
3.12:0.25+12.48*3-3.12*6
=3.12*4+3.12*12-3.12*6
=3.12*(4+12-6)
=3.12*10
=31.2
3,12 : 0,25 + 12,48 x 3 - 3,12 x 6
= 3,12 x 4 + 3,12 x ( 4 x 3 ) - 3,12 x 6
= 3,12 x 4 + 3,12 x 12 - 3,12 x 6
= 3,12 x ( 4 + 12 - 6 )
= 3,12 x 10
= 31,2
3,12 : 0,25 + 12,48 x 3 - 3,12 x 6
=3,12 : 1/4 + 3,12 x 4 x 3 - 3,12 x 6
=3,12 x 4 + 3,12 x 12 - 3,12 x 6
=3,12 x (4 + 12 - 6)
=3,12 x 10
=31,2
Tính bằng các thuận tiện nhất: 10/7 x 2/3 + 6/5 : 3/10 - 2/3 x 3/7
trả lời:
10/7 x 2/3 + 6/5 : 3/10 - 2/3 x 3/7=10/7 x 2/3 + 6/5. 10/3 - 2/3 x 3/7=10/7 x 2/3 + 2/3.2- 2/3 x 3/7
=2/3.(10/7+2-3/7)=2/3.3=2
10/7 x 2/3 + 6/5 : 3/10 - 2/3 x 3/7
= 10/7 x 2/3 + 6/5 x 10/3 - 2/3 x 3/7
= 10/7 x 2/3 + 6/5 x 5 x 2/3 - 2/3 x 3/7
= 10/7 x 2/3 + 6 x 2/3 - 2/3 x 3/7
= 2/3 x (6 + 10/7 - 3/7)
= 2/3 x (6 + 1)
= 2/3 x 7
= 14/3
CHúc bạn học tốt
\(\frac{10}{7}\cdot\frac{2}{3}+\frac{5}{6}:\frac{3}{10}-\frac{2}{3}\cdot\frac{3}{7}\)
\(=\left(\frac{10}{7}\cdot\frac{2}{3}-\frac{2}{3}\cdot\frac{3}{7}\right)+\frac{5}{6}\cdot\frac{10}{3}\)
\(=\frac{2}{3}\left(\frac{10}{7}-\frac{3}{7}\right)+\frac{5\cdot10}{6\cdot3}\)
\(=\frac{2}{3}\cdot1+\frac{25}{9}\)
\(=\frac{2}{3}+\frac{25}{9}\)
\(=\frac{31}{9}\)
4 6 . 9 5 + 6 9 . 120 8 4 . 3 12 − 6 11 = 2 2 6 . 3 2 5 + 2 9 .3 9 .2 3 .3.5 2 3 4 .3 12 − 2 11 .3 11 = 2 12 .3 10 + 2 12 .3 10 .5 2 12 .3 12 − 2 11 .3 11 = 2 12 .3 10 1 + 5 2 11 .3 11 2.3 − 1 = 2.6 3.5 = 4 5
\(28+35+62+95+73+69+27+1\)
\(=\left(28+62\right)+\left(35+95\right)+\left(73+27\right)+\left(69+1\right)\)
\(=90+130+100+70=390\)
(28+62)+(35+95)+(73+27)+(69+1)=
90+130+100+70=390
Đs:390
\(10.4^6.9^5+6^9.120:8^4.3^{12}-6^{11}\)
\(=2.5.2^{12}.3^{10}+3^9.2^9.2^3.3.5:2^{12}.3^{12}-3^{11}.2^{11}\)
\(=5.2^{13}.3^{10}+2^{12}.5:2^{12}.3^{22}-3^{11}.2^{11}\)
\(=5.2^{13}.3^{10}+5.3^{22}-3^{11}.2^{11}\)
\(=5.3^{10}.\left(2^{13}+3^{12}\right)-3^{11}.2^{11}\)