Question

without actual division check whether the rational number is Terminating decimals representation or non terminating decimal reprasantion and why?
1) 637 / 7280
2) 12 / 168
3) 21 / 27
4) 7 / 30
5) 21 / 245
6) 216 / 1125
7) 51 / 120
Please answer correctly I will mark you as brainliest

Answer 1

Answer:

we can find the number as rational no termintating or non terminatingwithout actual division .

we have to see the prime factors of the number if it is contaning 2 and 5 and then or 2 or 5 then it is terminitating

Answer 2

Answer:

Step-by-step explanation:

1) 637 / 7280

7280=2^4 *5*7*13

The denominator in not in form of 2^m x 5^n

Hence  decimal expansion is non-terminating

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2.12/168

168= 2³ *3*7

The denominator in not in form of 2^m x 5^n

Hence decima expansion is non-terminating

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3. 21/27

27=3^3

The denominator in not in form of 2^m x 5^n

Hence decimal expansion is non-terminating

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4. 7/30

30=2*3*5

The denominator in not in form of 2^m x 5^n

Hence decimal expansion is non-terminating

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5. 21/245

245 =5*7^2

The denominator in not in form of 2^m x 5^n

Hence decimal expansion is non-terminating

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6. 216/1125=3^2*5^3

The denominator in not in form of 2^m x 5^n

Hence decimal expansion is non-terminating

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7. 51/120

120=2³ *3*5

The denominator in not in form of 2^m x 5^n

Hence decimal expansion is non-terminating

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