作业帮用两种方法计算2/1+4/1+8/1+16/1+32/1+64/1
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/05/18 14:43:24
用两种方法计算2/1+4/1+8/1+16/1+32/1+64/1
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
1/2+1/4+1/8+1/16+1/32+1/64
=64×(1/2+1/4+1/8+1/16+1/32+1/64+1/64)÷64
=(32+16+8+4+2+1)÷64
=63/64
=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
1/2+1/4+1/8+1/16+1/32+1/64
=64×(1/2+1/4+1/8+1/16+1/32+1/64+1/64)÷64
=(32+16+8+4+2+1)÷64
=63/64
用两种方法计算2/1+4/1+8/1+16/1+32/1+64/1
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