Assessment and Learning in Knowledge Spaces (ALEKS) Basic Math Placement Practice Test

Which of the following is part of the set of integers?

1. 1, 2, 3, 4

2. -3, -2, -1, 0, 1, 2, 3

3. 0.5, 1.5, 2.5

4. 2, 4, 6, 8

The correct answer is: -3, -2, -1, 0, 1, 2, 3

The set of integers includes all whole numbers, both positive and negative, along with zero. This means that integers consist of the numbers ...,-3, -2, -1, 0, 1, 2, 3,... and so on. The correct choice includes negative integers, positive integers, and zero, which aligns perfectly with the definition of integers. Therefore, it includes values like -3, -2, -1, 0, 1, 2, and 3, all of which are indeed integers. In contrast, the first choice consists entirely of positive integers, which, while correct within the set of integers, does not include all possible examples. The third choice includes decimal values, which cannot be part of the set of integers. The fourth choice has only positive even integers, again failing to capture the complete definition since it omits negative integers and zero. Understanding the complete definition of integers is key to identifying them accurately among various sets of numbers.