Question

Define Terminating Decimal. How to recognize a Terminating Decimal?

Answer 1

A terminating decimal is a decimal in which the digits after the decimal point terminate. This means that the digits after the decimal are finite in number. It is a decimal that has an end-digit.

Terminating decimal examples: 17.28, 6.02, −22.45435, 0.45, etc.

All decimals that terminate are rational numbers. In simple words, all terminating decimals are rational numbers.

Recognize a Terminating Decimal:

• A number that is not rational is never a terminating decimal number.
• If you can express the denominator of a simplified rational number in the form 2^p5^q or 2^p or 5^q, where p, q ∈ N, then the number has a terminating decimal expansion.
• A terminating decimal number always has a finite number of digits after the decimal point.