Question

The decimal expansion of the following rational number will terminate after 11/2⁴*5³ one decimal place two decimal places four decimal places O NONE OF THE ABOVE​

Answer 1

Answer:

Terminate one decimal place two decimal places four decimal places:

Step-by-step explanation:

The decimal representation of 11/2⁴*5³;

Multiplying and dividing by 5²

⇝ 11/(2⁴*5³) × (5²/5²)

⇝ (11 × 5²) / (2³×5³× 5²)

⇝ (11 × 25) / (2³ x 5⁵)

[ We know , a n × b n =(ab)n

so, 2³ × 5⁵ = (2 × 5⁵) = (10⁵) ]

⇝ (275) / (10⁵)

⇝ 275/1000

⇝ 0.275