Determine whether the rational number 786/1500 has a terminating decimal expansion or non terminating repeating decimal expansion.
Answers
Answered by
41
It is having terminating decimal expansion because if we will simplify 786 upon 1500 will get 131 upon 250.
And,
The factors of 250 are 5×5×5×2
So, by theorem we can conclude that its decimal expansion is terminating because 2 and 5 are the factors of its denominator.
Hope this will help you.
And,
The factors of 250 are 5×5×5×2
So, by theorem we can conclude that its decimal expansion is terminating because 2 and 5 are the factors of its denominator.
Hope this will help you.
Answered by
8
Answer:
786 / 1500
131 / 250
131 / 5³• 2¹
131 • 2² / 5³• 2¹• 2²
524 / 5³ • 2³
524 / 10³
524 / 1000
0.524
it is in the form of 1 / 2^m • 5^n
therefore it is terminating decimal expansion
it is terminated after three decimal places
Step-by-step explanation:
hope this helps you
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