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The decimal expansion of 178 will terminate after how many places of decimals?
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The decimal expansion of 178 will terminate after how many places of d...
Decimal Expansion of 178
The decimal expansion of a number can either terminate or repeat. In the case of the number 178, we need to determine whether its decimal expansion terminates or not.
Terminating Decimal
- A decimal expansion terminates if the number can be expressed as a fraction of the form a/b, where both a and b are integers and b is a power of 10.
- In other words, a terminating decimal has a finite number of digits after the decimal point.
Decimal Expansion of 178
- When we divide 178 by 1, we get 178 as the quotient and 0 as the remainder.
- Therefore, the decimal expansion of 178 is 178.0000..., which shows that it terminates after 0 decimal places.
Conclusion
- The decimal expansion of 178 terminates after 0 decimal places, indicating that it is an integer without any fractional part.
- Therefore, the decimal expansion of 178 is a terminating decimal.
The decimal expansion of a number can either terminate or repeat. In the case of the number 178, we need to determine whether its decimal expansion terminates or not.
Terminating Decimal
- A decimal expansion terminates if the number can be expressed as a fraction of the form a/b, where both a and b are integers and b is a power of 10.
- In other words, a terminating decimal has a finite number of digits after the decimal point.
Decimal Expansion of 178
- When we divide 178 by 1, we get 178 as the quotient and 0 as the remainder.
- Therefore, the decimal expansion of 178 is 178.0000..., which shows that it terminates after 0 decimal places.
Conclusion
- The decimal expansion of 178 terminates after 0 decimal places, indicating that it is an integer without any fractional part.
- Therefore, the decimal expansion of 178 is a terminating decimal.
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The decimal expansion of 178 will terminate after how many places of decimals?
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The decimal expansion of 178 will terminate after how many places of decimals? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The decimal expansion of 178 will terminate after how many places of decimals? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The decimal expansion of 178 will terminate after how many places of decimals?.
The decimal expansion of 178 will terminate after how many places of decimals? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The decimal expansion of 178 will terminate after how many places of decimals? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The decimal expansion of 178 will terminate after how many places of decimals?.
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