Question

Write down the decimal expansions of the following numbers without actual division?
1)3/8 2)13/125 3)7/80 4)145/625

Answer 1

Solution:-

3125 = 5*5*5*5*5 = 5⁵

13/3125

= 13/5⁵

= (13*2⁵)/(5⁵*2⁵) {Multiplying the numerator as well as the denominator with 2⁵}

= (13*32)/(10⁵)

= 416/10⁵

= 0.00416

Answer.