Question

the decimal expansion of rational number 543 by 2 raised to 4 multiplyed by 5 raised to 3, will terminate after how many places of decimal.

Answer 1

Explanation:

In the decimal expansion of a rational number, the general rule is that if the denominator is of the form 2^m*5^n, then it will terminate after n places if n>m or m places if m>n.

In this case, 4 > 3 so the expansion will terminate after 4 decimal places.

Answer 2

• 4

Explanation:

• 543 / (2⁴*5³) =
• 543 / (16*125) =
• 543 / 2000 =
• 0.2715

This is terminated after 4 places of decimal