Question

六年级举一反三

1/2+1/4+1/8+1/16+1/32+1/64简便运算

Answer 1

1/2=1-1/21/4=1/2-1/41/8=1/4-1/81/16=1/8-1/16……然后加起来就是：1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32+1/32-1/64=1-1/64=63/64

Answer 2

用64分别除以2、4、8、16、32...结果就是：（32+16+8+4+2+1）除以64

Answer 3

1/2=1-1/21/4=1/2-1/41/8=1/4-1/81/16=1/8-1/161/32=1/16-1/321/64=1/32-1/64∴1/2+1/4+1/8+1/16+1/32+1/64=1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32+1/32-1/64=1-1/64=63/64