Tính nhẩm
a) 19^2 ; 28^2 ; 81^2 ; 101^2
b) 19.21 ; 29.31 ; 39.41 ; 99.101
c) 56^2-46^2 ; 64^2-36^2
d) 25^2 ; 35^2 ; 45^2 ; 55^2 ... 95^2
Ai giúp mình lm bài này vs ạ!!! Đúng mk tick cho =)))
Áp dụng các hằng đẳng thức đáng nhớ để thực hiện phép tính.
a, 192 ; 282 ; 812 ; 912
b, 19.21 ; 29.31 ; 39.41
c, 282 - 82 ; 562 - 462 ; 672 - 572
\(a,19^2=\left(18+1\right)^2=18^2+2.18.1+1^2=324+36+1=361\)
\(28^2=\left(27+1\right)^2=27^2+2.27.1+1^2=729+54+1=784\)
\(81^2=\left(80+1\right)^2=80^2+2.80.1+1^2=6400+160+1=6561\)
\(91^2=\left(90+1\right)^2=90^2+2.90.1+1^2=8100+180+1=8281\)
\(b,19.21=\left(20-1\right)\left(20+1\right)=20^2-1^2=400-1=399\)
\(29.31=\left(30-1\right)\left(30+1\right)=30^2-1^2=900-1=899\)
\(39.41=\left(40-1\right)\left(40+1\right)=40^2-1^2=1600-1=1599\)
\(c,28^2-8^2=\left(28-8\right)\left(28+8\right)=20.36=720\)
\(56^2-46^2=\left(56-46\right)\left(56+46\right)=10.102=1020\)
\(67^2-57^2=\left(67-57\right)\left(67+57\right)=10.124=1240\)
a) \(19^2=\left(20-1\right)^2=20^2-2.20.1+1^2=400-40+1=361\)
\(28^2=\left(30-2\right)^2=30^2-2.30.2+2^2=900-120+4=784\)
\(81^2=\left(80+1\right)^2=80^2+2.80.1+1^2=6400+160+1=6561\)
\(91^2=\left(90+1\right)^2=90^2+2.90.1+1^2=8100+180+1=8281\)
- Tính nhanh theo các hằng đẳng thức các số sau:
a) 19.21; 29.31; 39.41
b) 292 - 82; 562 - 462; 672 - 562
a,19.21=(20-1)(20+1)=202-12=400-1=399
29.31=(30-1)(30+1)=302-12=900-1=899
39.41=(40-1)(40+1)=402-12=1600-1=1599
1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15 * 16 * 17 * 18 * 19 * 20 * 21 * 22 * 23 * 24 * 25 * 26 * 27 * 28 * 29 * 30 * 31 * 32 * 33 * 34 * 35 * 36 * 37 * 38 * 39 * 40 * 41 * 42 * 43 * 44 * 45 * 46 * 47 * 48 * 49 * 50 * 51 * 52 * 53 * 54 * 55 * 56 * 57 * 58 * 59 * 60 * 61 * 62 * 63 * 64 * 65 * 66 * 67 * 68 * 69 * 70 * 71 * 72 * 73 * 74 * 75 * 76 * 77 * 78 * 79 * 80 * 81 * 82 * 83 * 84 * 85 * 86 * 87 * 88 * 89 * 90 * 91 * 92 * 93 * 94 * 95 * 96 * 97 * 98 * 99 * 100 bằng bao nhiêu?
1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50+51+52+53+54+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70=?
a, 35. 34+ 35. 36+ 66. 75+ 66. 45
b, 3. 25. 8+ 4. 37. 6+ 2. 38. 12
c, 36. 28+ 36. 82+ 64. 69+ 64. 41
d, 39. 8+ 60. 2+21.8
1.tính nhanh
a) 2 x 16 x 50 x 25
b) 35 x 24 + 35 x 76 + 55 x 19 + 55 x 81
c) 6 x 25 x 4 + 4 x 19 x 6 - 2 x 14 x 12
d) 19 x 64 + 76 x 34
e) 864 x 48 - 432 x 96 / 864 x 48 x 432
b) 35 x 24 + 35 x 76 +55 x 19 +55 x 91
= 35 x ( 24 + 76 ) + 55 x ( 19 + 91 )
= 35 x100 +55 x 100
= 100 x ( 55 + 35 )
= 90 x 100 =9 000
c) \(6\cdot25\cdot4+4\cdot19\cdot6-2\cdot14\cdot12\)
\(=24\cdot25+24\cdot19-24\cdot14\)
\(=24\left(25+19-14\right)\)
\(=24\cdot30=720\)
d) \(19\cdot64+76\cdot34\)
\(=76\cdot19+76\cdot34\)
\(=76\left(19+34\right)=76\cdot53=4028\)
a) 2 x 16 x 50 x 25
= ( 2 x 50 ) x ( 16 x 25 )
= 100 x 400
= 40 000
1. Tính nhanh :
a) 79 . 101
b) (1999 + 2016) - 1999
c) 81 + 250 + 19
d) 165 + 79 + 135
e) 35 . 45 + 35 . 55
f) 5 . 125 . 2 . 8
a,79.101=79.(100+1)
= 79.100 + 79
=7900 + 79 = 7979
b,(1999+2016)-1999 = 1999 - 1999 + 2016 = 0 + 2016 = 2016
c,81+250+19 =(81 + 19) + 250 = 100 + 250 = 350
d,165+79+135 =(165+135)+79=300+79=379
e,35.45+35.55=35.(45+55)
= 35.100
=3500
f,5.125.2.8=(5.2).(125.8)
= 10 . 1000
= 10 000
a) 79. 101
= 79 . (100 + 1)
= 79. 100 + 79
= 7 900 + 79
= 7 979
b) (1 999 + 2 016) - 1 999
= ( 1 999 - 1 999) + 2 016
= 0 + 2 016
= 2 016
c) 81 + 250 + 19
= (81 + 19) + 250
= 100 + 250
= 350
d) 165 + 79 + 135
= (165 + 135) + 79
= 300 + 79
= 379
e) 35 . 45 + 35 . 55
= 35 . (45 + 55)
= 35. 100
= 3 500
f) 5. 125 . 2. 8
= (5 . 2) . (125 . 8)
= 10 . 1 000
= 10 000
Tinh . \(19^2,28^2,82^2,91^2\)
19.21, 39.41
\(19^2=\left(20-1\right)^2=20^2-2.20+1=400-40+1=361\)
\(28^2=\left(30-2\right)^2=30^2-2.30.2+2^2=900-120+4=784\)
\(82^2=\left(80+2\right)^2=80^2+2.80.2+2^2=6400+2.80.2+4=6724\)
\(91^2=\left(90+1\right)^2=90^2+2.90.1+1^2=8100+180+1=8281\)
\(19.21=\left(20-1\right)\left(20+1\right)=20^2-1=400-1=399\)
\(39.41=\left(40-1\right)\left(40+1\right)=40^2-1=1600-1=1599\)