Question

Desimal represenatation of 11/2³×5

Answer 1

Step-by-step explanation:

Answer: Hope it will help you

xplanation : The decimal representation of 11/(2³ × 5) ;

multiplying and dividing by 5²,

= 11/(2³ × 5) × (5²/5²)

= (11 × 5²)/(2³ × 5 × 5²)

= (11 × 25)/(2³ × 5³)

[ we know, aⁿ × bⁿ = (ab)ⁿ

so, 2³ × 5³ = (2 × 5)³ = (10)³ ]

= (275)/(10³)

= 275/1000

= 0.275

It will terminate after three decimal place s.

Answer 2

Answer:

$\frac{11}{ {2}^{3} \times 5} \times \frac{ {5}^{2} }{ {5}^{2} } \\ = \frac{11 \times 25}{ {2}^{3} \times {5}^{3} } = \frac{275}{ {(2 \times 5)}^{3} } = \frac{275}{ {10}^{3} } \\ = 0.275 \\ hope \: it \: helps \: u....$