25.25+(15-18)+(12-19+10)
Bài 13: Dấu <, =, >
10 … 10 + 3
11 + 2…. 2 + 11
9 … 10 + 9
10 … 10 + 0
17 – 4 … 14 - 3
18 – 4 … 12
15 … 15 – 1
17 + 1… 17 + 2
12+ 5 … 16
16 … 19 - 3
15 – 4 … 10 + 1
19 – 3 … 11
10 < 10 + 3
11 + 2=2 + 11
9 < 10 + 9
10 = 10 + 0
17 – 4 > 14 - 3
18 – 4 >12
15 > 15 – 1
17 + 1<17 + 2
12+ 5 > 16
16 =19 - 3
15 – 4 =10 + 1
19 – 3 >11
b=3/1.*4+6/4*10+9/10*19+12/19*20+15/31*46+18/46*64
14. √(7-4√3)
15. √(8+2√15)
16. √(10-2√21)
17. √(11+2√18)
18. √(7+2√10)
19. √(7+4√3)
20. √(12-2√35)
14) \(\sqrt{7-4\sqrt{3}}=2-\sqrt{3}\)
15) \(\sqrt{8+2\sqrt{15}}=\sqrt{5}+\sqrt{3}\)
16) \(\sqrt{10-2\sqrt{21}}=\sqrt{7}-\sqrt{3}\)
17) \(\sqrt{11+2\sqrt{18}}=3+\sqrt{2}\)
18) \(\sqrt{7+2\sqrt{10}}=\sqrt{5}+\sqrt{2}\)
19) \(\sqrt{7+4\sqrt{3}}=2+\sqrt{3}\)
20) \(\sqrt{12-2\sqrt{35}}=\sqrt{7}-\sqrt{5}\)
\(\sqrt{7-4\sqrt{3}}=\sqrt{2^2-2.2.\sqrt{3}+\left(\sqrt{3}\right)^2}=\sqrt{\left(2-\sqrt{3}\right)^2}=\left|2-\sqrt{3}\right|=2-\sqrt{3}\)
√7−4√3=√22−2.2.√3+(√3)2=√(2−√3)2=∣∣2−√3∣∣=2−√3
10-12+13-14+15-16+17-18+19
10 - 12 + 13 - 14 + 15 - 16 + 17 - 18 + 19
= (-2) +(-1) +(-1) +(-1) + 19
= -2 + (-3) + 19
= - 5 + 19
= 14
Tính nhanh:10+11+12+13+14+15+15+16+17+18+19+20
10 + 11 + 12 + 13 + 14 + 15 + 15 + 16 + 17 + 18 + 19 + 20
= ( 10 + 20 ) + ( 11 + 19 ) + ( 12 + 18 ) + ( 13 + 17 ) + ( 14 + 16 ) + ( 15 + 15 )
= 30 + 30 + 30 + 30 + 30 +30
= 30 x 6
= 180 .
Cách 1 : 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20
= (10 + 20) + (11 + 19) + (12 + 18) + (13 + 17) + (14 + 16) + 15
= 30 + 30 + 30 + 30 + 30 + 15
= 150 + 15
= 165
Cách 2 : 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20
= \(\left(\frac{20-10}{1}+1\right)\times\frac{20+10}{2}\)
= 11 x 15
= 165
10+12+13+14+15+16+17+18+19+20 =????
=154 đúng ko
tính nhanh A = 18/26 + -5/27 + -22/86 + 12/39 + -32/43
B = -10/12 + 8/15 + -19/56 + 3/-18 + 28/60
(-10)+(-9)+(-8)+...+0+1+2+3+...+10+11+12+13+14+15+16+17+18+19+20
tại vị từ -10 đến 10 là =0 còn lại từ 11 đến 20=155 vay 0+0=155
Tính bằng cách thuận tiện nhất 10-11+12-13+14-15+16-17+18-19+20
10-11+12-13+14-15+16-17+18-19+20
= (10+20)+(-11-19)+(12+18)+(-13-17)+(14+16)-15
= 30-30+30-30+30-15
= 15
(20 + 10) - (11 + 19) + ( 12 + 18 ) - ( 13 + 17 ) + ( 14 + 16 ) - 15
= 30 - 30 + 30 - 30 - 15
= -15
(20+10)-(11+19)+(12+18)-(13+17)+(14+16)-15
=30-30+30-30-15+30
=15