FTCE General Knowledge Math Practice Test

Which of the following statements is true about integers?

1. They are all positive numbers

2. They can only be whole numbers

3. They include negative numbers but not fractions

4. They cannot be zero

The correct answer is: They include negative numbers but not fractions

The correct answer emphasizes that integers encompass a complete set of whole numbers that includes negative numbers, positive numbers, and zero, while explicitly excluding fractional or decimal values. Specifically, the inclusion of negative numbers is a defining characteristic of integers, which can be expressed as {..., -3, -2, -1, 0, 1, 2, 3, ...}. This indicates that integers provide a comprehensive range of numeric values on the number line, spanning both directions from zero. Other options present restrictions that do not accurately represent the nature of integers. The assertion that integers are positive numbers ignores the existence of negative integers and zero. The claim that they can only be whole numbers fails to acknowledge that, while integers are indeed whole numbers, the definition extends beyond mere positivity. Lastly, stating that integers cannot be zero is incorrect, as zero itself is classified as an integer and serves as an important element in the set of integers.