FTCE General Knowledge Math Practice Test

Which of the following is a characteristic of integers?

1. All integers are positive.

2. Integers cannot be fractions.

3. Integers include only whole numbers.

4. Integers can be negative, zero, or positive.

The correct answer is: Integers can be negative, zero, or positive.

Integers are defined as the set of whole numbers that can be either positive, negative, or zero. This means they include all positive whole numbers (like 1, 2, 3), all negative whole numbers (like -1, -2, -3), and zero itself. This broad definition allows integers to encompass a range of values along the number line. The assertion that all integers can be negative, zero, or positive accurately captures the essential nature of integers, making it the best choice among the options provided. It reflects the complete set of integers and highlights their inclusive property of having both negative and positive values as well as zero. Understanding this characteristic is important in recognizing how integers function in various mathematical contexts. The other options do not accurately represent the nature of integers. For instance, stating that all integers are positive excludes negative integers and zero, which are fundamental parts of the integer set. The claim that integers cannot be fractions implies that only whole numbers can be considered, but integers specifically do not include fractional or decimal representations. Lastly, the suggestion that integers include only whole numbers ignores the critical element of negative values, which are equally considered part of the integer set. Thus, the comprehensive understanding presented in the correct option encapsulates what integers