Question

1/2+1/4+1/8+1/16+1/32+1/64简便计算的方法和思路？

Answer 1

简便计算1/2+1/4+1/8+1/16+1/32+1/64
解题思路：四则运算规则（按顺序计算、先算乘除后算加减，有括号先算括号，有乘方先算乘方）即脱式运算（递等式计算）需在该原则前提下进行
解题过程：
1/2+1/4+1/8+1/16+1/32+1/64
=（4/8+2/8+1/8）+（4/64+2/64+1/64）
=7/8+7/64
=56/64+7/64
=63/64

存疑请追问，满意请采纳

Answer 2

原式
＝1／64×（32＋16＋8＋4＋2＋1）
＝1／64×63
＝63／64

Answer 3

1/2+1/4+1/8+1/16+1/32+1/64
=1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/64
=1/2+1/4+1/8+1/16+1/32+1/32-1/64
=1/2+1/4+1/8+1/16+1/16-1/64
=1/2+1/4+1/8+1/8-1/64
=1/2+1/4+1/4-1/64
=1/2+1/2-1/64
=1-1/64
=63/64

Answer 4

=1-1/32 =31/32