Which of the following describes a terminating decimal?

Which of the following describes a terminating decimal?

• A. 0.333...
• B. 0.75
• C. Pi
• D. Square root of 2

Answer: (B)

A terminating decimal is a decimal representation that has a finite number of digits after the decimal point. In this case, the choice of 0.75 is indeed a terminating decimal, as it can be expressed exactly with two digits after the decimal point and does not continue on infinitely. To further clarify, the other options represent non-terminating decimals. For example, 0.333... represents one-third, which continues infinitely. Similarly, pi is an irrational number with an infinite sequence of non-repeating decimals, and the square root of 2 is also an irrational number that cannot be expressed as a finite or repeating decimal. Therefore, 0.75 stands out as the only choice that fulfills the definition of a terminating decimal.

A terminating decimal is a decimal representation that has a finite number of digits after the decimal point. In this case, the choice of 0.75 is indeed a terminating decimal, as it can be expressed exactly with two digits after the decimal point and does not continue on infinitely.

To further clarify, the other options represent non-terminating decimals. For example, 0.333... represents one-third, which continues infinitely. Similarly, pi is an irrational number with an infinite sequence of non-repeating decimals, and the square root of 2 is also an irrational number that cannot be expressed as a finite or repeating decimal. Therefore, 0.75 stands out as the only choice that fulfills the definition of a terminating decimal.