\(21^{15}va2^{75}.4^{^{ }98}\)
hãy rút gọn 15/75, 28/98, 12/51, 13/78, 21/49, 135/405
\(\dfrac{15}{75}=\dfrac{15:15}{75:15}=\dfrac{1}{5}\\ \dfrac{28}{98}=\dfrac{28:14}{98:14}=\dfrac{2}{7}\\\dfrac{13}{78}=\dfrac{13:13}{78:13}=\dfrac{1}{6}\\ \dfrac{21}{49}=\dfrac{21:7}{49:7}=\dfrac{3}{7}\\ \dfrac{135}{405}=\dfrac{135:135}{405:135}=\dfrac{1}{3}\)
so sanh : a,2^25-2^14+2^23 va2^23 -2^22 + 2^21
b,15^31 và 33^29
15^2005+5 /15^2012-2 va 15^2012+5/15^2011-2
a) phải là 225-224+223 và 223-222+221 mới đúng
1-2+3-4+...-98+99
(-2003)+(-21+75+2003)
1 - 2 + 3 - 4 + ... + 99
= 1 + (-2 + 3) + (-4 + 5) + ... + (-98 + 99)
= 1 + 1 + 1 + ... + 1
= 1.50
= 50
(-2003) + (-21 + 75 + 2003)
= -2003 - 21 + 75 + 2003
= (-2003 + 2003) + (-21 + 75)
= 0 + 54
= 54
75.(-21)
(-15).(-17)
(-57),(67-34)-67.(34-57)
(-98).(1-246)-246.98
ai tra loi dung va nhanh minh tich nha 3 cai luon
75.(-21)=-1575. -15.(-17)=255. [(-98)-98] .(246-246).1=-196.0.1=0. Con cau Kia thi mh Suy nghi da
75.(-21) = -1575
(-15).(-17) = 255
(-57).(67-34) - 67.(34-57) = -340
(-98).(1-246) - 246.98 = -98
Tinhs hợp lí :
a, 75 x 20,9 + 5^2 x 20,9
b, 86 x 15 + 150 x 1,4
c, 93 x 32 + 14 x 16
d, 98, 6 x 199 - 990 x 9,86
e, -8 x 40 + 2 x 108 + 24
f, 993 x 98 + 21 x 331 - 50 x 99,3
a) \(75.20,9+5^2.20,9\)
\(=20,9\left(75+5^2\right)\)
\(=20,9\left(75+25\right)\)
\(=20,9.100\)
\(=2090\)
b) \(86.15+150.1,4\)
\(=15\left(86+10.1,4\right)\)
\(=15\left(86+14\right)=15.100=1500\)
c) \(93.32+14.16\)
\(=16\left(93.2+14\right)\)
\(=16\left(186+14\right)=16.200=3200\)
d) \(98,6.199-990.9,86\)
\(=9,86\left(10.199-990\right)=9,86\left(1990-990\right)\)
\(=9,86.1000=9860\)
e) \(-8.40+2.108+24\)
\(=-8.40+2.4.27+8.3\)
\(=-8\left(40-27-3\right)=-8.10=-80\)
15*37*4+120*21+21*5*12
15*(27+18+6)+15*(23+12)
10*(81+19)+100+50*(91+9)
42*(15+96)+6*(25+4)*7
16*(27+75)+8*(53+25)*2
Bài 1: Thay một thừa số bằng tổng để tính:
a) - 57 . 11 b) 75 . (-21)
Bài 2: Tính nhanh:
a) (- 4) . (+ 125) . (- 25) . (- 6) . (- 8)
b) (- 98) . (1 - 246) - 246 . 98
1)
a)-57.11= -57.(10+1)=(-57.10)+(-57.1)=-570+(-57)=-627
b)75.(-21)=(30+45).(-21)=(-21.30)+(-21.45)=-630+(-945)=-1575
2)
a) (-4).(+125).(-25).(-6).(-8)=[(-4).(-25)].[125.(-8)].(-6)=100.(-1000).(-6)=600000
b)(-98).(1-246)-246.98
=-98.1-(-98).246-246.98
=-98+98.246-246.98
=-98+(98.246-246.98)
=-98+0
=-98
bài 1 chưa hỉu cho lém
bài 2: a) = 600000
b) = -98
tick mk nha bn
50. √(98-16√3)
51. √(2-√3)
52. √(4+√15)
53. √(5-√21)
54. √(6-√35)
55. √(2+√3)
56. √(4-√15)
57. √(8-√55)
58. √(7+√33)
59. √(6+√35)
60. √(7-3√5)
50) \(\sqrt{98-16\sqrt{3}}=4\sqrt{6}-\sqrt{2}\)
51) \(\sqrt{2-\sqrt{3}}=\dfrac{\sqrt{4-2\sqrt{3}}}{\sqrt{2}}=\dfrac{\sqrt{3}-1}{\sqrt{2}}=\dfrac{\sqrt{6}-\sqrt{2}}{2}\)
52) \(\sqrt{4+\sqrt{15}}=\dfrac{\sqrt{8+2\sqrt{15}}}{\sqrt{2}}=\dfrac{\sqrt{5}+\sqrt{3}}{\sqrt{2}}=\dfrac{\sqrt{10}+\sqrt{6}}{2}\)
53) \(\sqrt{5-\sqrt{21}}=\dfrac{\sqrt{10-2\sqrt{21}}}{\sqrt{2}}=\dfrac{\sqrt{14}-\sqrt{6}}{2}\)
54) \(\sqrt{6-\sqrt{35}}=\dfrac{\sqrt{12-2\sqrt{35}}}{\sqrt{2}}=\dfrac{\sqrt{14}-\sqrt{10}}{2}\)
55) \(\sqrt{2+\sqrt{3}}=\dfrac{\sqrt{4+2\sqrt{3}}}{\sqrt{2}}=\dfrac{\sqrt{6}+\sqrt{2}}{2}\)
56) \(\sqrt{4-\sqrt{15}}=\dfrac{\sqrt{8-2\sqrt{15}}}{\sqrt{2}}=\dfrac{\sqrt{10}-\sqrt{6}}{2}\)
75 phút + 1 giờ 15 phút + 1,25 giờ nhân 98
75 phút + 1 giờ 15 phút + 1,25 giờ \(\times\) 98
= 1 giờ 90 phút + 122,5 giờ
= 2 giờ 30 phút + 122 giờ 30 phút
= 124 giờ 60 phút
= 125 giờ