Question

without actual division determine whether -21/90 has a terminating or non terminating decimal representation? Give reason also.​

Answer 1

Given :- -21/90 has a terminating or non terminating decimal representation ?

Concept used :- we have to check prime factors of denominators of given fraction .

• if Prime factor are 2, or 5 , or 2 and 5 both . Than the given fraction is a terminating decimal expansion .
• if prime factors are other than 2 or 5 , than the given fraction is a non - terminating decimal expansion .

so,

→ (-21/90)

→ (-7/30)

now, checking prime factors of denominator 30,

→ 30 = 2 * 3 * 5

since prime factor of denominator is other than 2 and 5 which is 3 .

Therefore, we can conclude that, the given fraction is non - terminating repeating decimal expansion .

Learn more :-

(3) निम्न के स्थानीय मान लिखिये-

(अ)43.24

(स)884.20

(ब) 534.34

(द) 178.34

https://brainly.in/question/37666224

Answer 2

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