Question

plz answer it fast
i will mark you as Brainliest
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Answer 1

Answer:

Denominator of the rational number 257/ 5000 is 5000.

Now, 5000 = 2 × 2 × 2 × 5 × 5 × 5 × 5

Now, 5000 = 2 × 2 × 2 × 5 × 5 × 5 × 5 = (2)^ 3 × (5)^ 4 , which is of the type 2m × 5n ,

(where m = 3 and n = 4 are non-negative integers.)

∴ Rational number = 257/5000

= 257/2^3×5^4 × 2/2

= 257/2^3×5^4 × 2/2 = 514/2^3×5^4

= 257/2^3×5^4 × 2/2 = 514/2^3×5^4 = 514/(10)^4

= 257/2^3×5^4 × 2/2 = 514/2^3×5^4 = 514/(10)^4 = 514/10000

= 257/2^3×5^4 × 2/2 = 514/2^3×5^4 = 514/(10)^4 = 514/10000 = 0.0514

So, 0.0514 is the required decimal expansion of the rational 257/5000 and it is also a terminating decimal number.

 

Explanation:

Answer 2

Answer:

( i ) 2⁵ * 5³  (ii) 0.09425

Explanation:

The explanation is big but you will get it.

PS : I am substituting 'm,n' as 'a,b' as the powers are not available

Total questions :

( i ) Getting the denominator in the form of 2ᵃ * 5ᵇ

( ii ) Finding the decimal expansion of given fraction

Solution:

( i ) Factorising 4000 you will get,

    2 * 2 * 2 * 2 * 2 * 5 * 5 * 5

     Converting into powers you will get the answer as

     2⁵ * 5³

( ii )  Now, coming to the decimal expansion,

      Sorry but I can't do the division in this app but you get the decimal as        

      0.09425