Calculate 1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + 1 / 32 + 10 Calculation of x 1 / 1024 by simple method

Calculate 1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + 1 / 32 + 10 Calculation of x 1 / 1024 by simple method

Don't worry, find the rules
1/2 + 1/4 + 1/8 + 1/8
= 1/2 + 1/4 + 1/4
= 1/2 + 1/2
= 1
that
1/2 + 1/4 + 1/8 + 1/16
= 1/2 + 1/4 + 1/8 + 1/16 + 1/16 - 1/16
= 1/2 + 1/4 + 1/8 + 1/8 - 1/16
= 1/2 + 1/4 + 1/4 - 1/16
= 1/2 + 1/2 - 1/16
= 1 - 1/16
= 15/16
This shows that
1/2 + 1/4 + 1/8 + 1/16 +…… + 1/1024
= 1/2 + 1/4 + 1/8 + 1/16 +…… + 1/1024 + 1/1024 - 1/1024
= 1 - 1/1024
= 1023/1024

Simple calculation method! (1) 8.6 * 1 / 3 + 8.6 △ 3 (2) 5 / 11-5 / 11 * 2 / 13

(1) 8.6 * 1 / 3 + 8.6 △ 3
=8.6*(1/3+1/3)
=8.6*2/3
=17.2/3
=86/15
(2) 5 / 11-5 / 11 * 2 / 13
=5/11*(1-2/13)
=5/11*11/13
=5/13