Tính nhanh
a) 532 + 472 + 94 . 53
b)502 - 492 + 482-472 +.....+22 - 12
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(14,78-a)/(2,87+a)=4/1
14,78+2,87=17,65
Tổng số phần bằng nhau là 4+1=5
Mỗi phần có giá trị bằng 17,65/5=3,53
=>2,87+a=3,53
=>a=0,66.
a) A= 54 . 34- (152-1).(152+1)
=(5.3)4-154-1
=154-154-1
=-1
a) Ta có 15.64 + 25.100 + 36.15 + 60.100
= (15.64 + 36.15) + (25.100 + 60.100)
= 100.(15 + 85) = 10000.
b) Ta có 47 2 + 48 2 - 25 + 94.48
= ( 47 2 +2.47.48+ 48 2 ) - 5 2 = ( 47 + 48 ) 2 - 5 2 =9000.
c) Ta có 93 -92.(-l)-9.11 + (-l).ll
= (93 +92)-(9.11 + 1.11)
= 92(9 +1) -ll.(9 + l) = 700.
\(a,=15\left(64+36\right)+100\cdot25+100\cdot60\\ =100\left(15+25+60\right)=100\cdot100=10000\\ b,Sửa:47^2+48^2-25^2+94\cdot48=\left(47+48\right)^2-25^2\\ =95^2-25^2=\left(95-25\right)\left(95+25\right)=70\cdot120=8400\)
\(a,25\times47\times4\times2=\left(25\times4\right)\times\left(47\times2\right)=100\times94=9400\\ b,865\times99+865=865\times\left(99+1\right)=865\times100=86500\\ c,472\times1002-472-472=472\times\left(1002-1-1\right)=472\times1000=472000\\ d,2478+10275+7522-275=\left(2478+7522\right)+\left(10275-275\right)=10000+10000=20000\)
1.
$=153^2+2.47.153+47^2=(153+47)^2=200^2=40000$
2.
$=1,24^2-2.1,24.0,24+0,24^2=(1,24-0,24)^2=1^2=1$
3. Không phù hợp để tính nhanh
4.
$=15^8-(15^8-1)=1$
5.
$=(1^2-2^2)+(3^2-4^2)+(5^2-6^2)+...+(2019^2-2020^2)$
$=(1-2)(1+2)+(3-4)(3+4)+(5-6)(5+6)+...+(2019-2020)(2019+2020)$
$=(-1)(1+2)+(-1)(3+4)+(-1)(5+6)+....+(-1)(2019+2020)$
$=(-1)(1+2+3+4+....+2019+2020)=(-1).2020(2020+1):2=-2041210$
6:
\(\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)....\left(2^{2020}+1\right)+1\\ =1.\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)....\left(2^{2020}+1\right)+1\\ =\left(2-1\right)\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)....\left(2^{2020}+1\right)+1\\ =\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)....\left(2^{2020}+1\right)+1\\ =\left(2^4-1\right)\left(2^4+1\right)....\left(2^{2020}+1\right)+1\\ =\left(2^8-1\right)....\left(2^{2020}+1\right)+1\\ =\left(2^{2020}-1\right)\left(2^{2020}+1\right)+1\\ =2^{4040}-1+1=2^{4040}\)
a: =472x2+472x5+472x2=472x9=4248
b: =28,8+28,8-14,4=43,2
c: =2,4(6,2+3,8)=24
a: \(-472+\left(235-28\right)-\left(35-350\right)\)
\(=-472+235-28-35+350\)
\(=\left(-472-28\right)+\left(235-35\right)+350\)
=-500+350+200
=50
b: \(91\cdot172+91\cdot13-91\cdot85\)
\(=91\cdot\left(172+13-85\right)\)
\(=91\cdot100=9100\)
c: \(798-298:\left[19-2\left(5^2-22\right)^2\right]\cdot1^{2023}\)
\(=798-298:\left[19-2\left(25-22\right)^2\right]\)
\(=798-298:\left[19-2\cdot3^2\right]\)
\(=798-298:\left(19-18\right)\)
=798-298
=500
573 - 215 -485 + 472 - 300
573 + 472 - ( 215 + 485 + 300 )
1045 - 1000
= 45
472 + 34 - ( 472 - 16 )
= 472 + 34 - 472 + 16
= ( 472 - 472 ) + ( 34 + 16 )
= 0 + 50
= 50
Học tốt nhé bạn !
472 +34 - ( 472 - 16 )
= (34 + 16 ) -( 472 - 472 )
= 50 - 0
= 50
a, \(53^2+47^2+94.53=53^2+2.53.47+47^2=\left(53+47\right)^2=100^2=10000\)
b, \(50^2-49^2+48^2-47^2+...+2^2-1^2\)
\(=\left(50^2-49^2\right)+\left(48^2-47^2\right)+...+\left(2^2-1^2\right)\)
\(=\left(50+49\right).\left(50-49\right)+\left(48+47\right).\left(48-47\right)+...+\left(2+1\right).\left(2-1\right)\)
\(=50+49+48+47+...+2+1=\dfrac{\left(50+1\right).50}{2}\)
\(=51.25=1275\)
bạn giải thích chỗ \(\frac{\left(50+1\right).50}{2}\) từ đâu ra được không ạ