Question

简便运算！！！！！

(256+725*255)/(256*725-469)
2004的平方-2003的平方
(3又3/5)*14.4+9.3*32+3.21*36
156.47+356.47+556.47+756.47+956.47
56789+67895+78956+89567+95678
56.7*23.4-567*1.26-108*4.67
999的平方+1999
(380+521*1995)/(1996*521-141)-1/181

Answer 1

(256+725*255)/(256*725-469)
=(256+725*255)/(255*725+256)
= 1

2004的平方-2003的平方
=(2004+2003)(2004-2003)
= 4007

(3又3/5)*14.4+9.3*32+3.21*36
= 3.6 * 14.4 + 9.3*32+3.21*36
=4(9 * 1.44 + 8 * 9.3 + 9 *3.21)
=4(12.96 + 74.4 + 28.89)
= 4 * 116.25
= 465

156.47+356.47+556.47+756.47+956.47
=556.47*5
=2782.35

56789+67895+78956+89567+95678
=(5+6+7+8+9)(10000+1000+100+10+1)
= 7 * 5 * 11111
= 35 * 11111
= 388885

56.7*23.4-567*1.26-108*4.67
=5.67*234 -5.67*126-108(5.67-1)
=5.67(234-126-108) +108
=108

999的平方+1999
=999^2 + 1999
=(1000-1)^2 + 1999
= 1000^2 -2000 + 1 + 1999
= 1000000

(380+521*1995)/(1996*521-141)-1/181
=(380+521*1995)/(1995*521+380)-1/181
= 1 - 1/181
= 180 / 181

Answer 2

Answer 3

在google里直接输入即可
如图
http://hi.baidu.com/shg2ff/album/item/bc38eb03999996ee09fa9365.html

Answer 4