determine that following rational number have terming decimal and non terming decimal. without actual division
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Step-by-step explanation:
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To Find, The decimal expansion of the given number without actual division. Solution, ...
So,
Now, Multiply ans divide the number by 2³. Then,
Here 5³ × 2³ = (5×2)³ = 10³ ( By using the identity) So,
Therefore the value of the given number is 0.104. _______________________________________________
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Step-by-step explanation:
We know that if the denominator of a rational number has no prime factors other than 2 or 5, then it is expressible as a terminating, otherwise it has non - terminating repeating decimal representation. Thus, we will have to check the prime factors of the denominators of each of the given rational numbers.
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