Question

After how many places of decimal, will the decimal expansion of 6/6250 terminate?

Answer 1

after 5 decimal places it will terminate
6/6250=0.00096

Answer 2

Solution :-

6/6250

⇒ (6/2)/(6250/2)

⇒ 3/3125

⇒ 3/5⁵

⇒ (3/5⁵) × (2⁵/2⁵)

⇒ (3 × 2⁵)/(5⁵ × 2⁵)

⇒ 96/(5 × 2)⁵

⇒ 96/10⁵

= 0.00096

So, it will terminate after 5 decimal places.

Answer.