Question

After how many decimal places will the decimal expansion of 23/2⁴×5³ terminate

Answer 1

is 5³ comes with 23 or 2⁴

      23          =    23      = 0.0115

    2⁴ x 5³          2000

After 4decimal places it will terminate

Answer 2

Answer:

4

Step-by-step explanation:

2⁴ = 16

5³ = 125

Thus, 2⁴ X 5³ = 16 X 125 = 2000

As per the question,

23/(2⁴ X 5³) = 23/2000 = 0.0115

Therefore, after 4 decimal places the decimal expansion of 23/(2⁴ X 5³) terminates.