Question

please answer me correctly l need it please answer me ​

Answer 1

Answer:

2

(i) as the denominator 128 as only 2 as its factors

∴ it is terminating decimals

(ii) as the denominator 400 as only 2 and 5 as its factors

∴ it is terminating decimals

(iii) as the denominator 980 as not only 2 and 5 but also 7 as its factors

∴ it is non terminating recurring decimal

(iv) as the denominator 350 as not only 2 and 5 but also 7 as its factors

∴ it is non  terminating recurring decimal

(v) as the denominator 3125 as only 5 as its factors

∴ it is terminating decimal

3

(i) 27/ 2 x5^4

= ( 27 × 2^3 )/ ( 2 × 2^3 × 5^4 )  

= 216/ ( 2^4 × 5^4 )

= 216/ 10^4  

= 0.0216

ii)117/250

= 117/(2 x 5³)

= 117 x 2² / 2 x 2² x 5³

=468 / (2³ x5³)

=468/ 10³

= 0.468

(III) 75/12

= 25/4

=25/2²

= 25 x 5² / 2² x 5²

= 625/ 10²

= 6.25

Hope it helps!!!!!