Final answer:
The statement that integers contain whole numbers is true; integers include all the whole numbers and their negatives. Mathematics has universally valid rules that apply to adding whole numbers and integers alike.
Step-by-step explanation:
Integers do contain whole numbers, so the statement is true. Integers are a set of numbers that include all the whole numbers and their negative counterparts, but not fractions or decimals. Exact numbers, like the number of objects counted or definitions that result in a whole number, are considered to have infinitely many significant figures. For example, when we say there are 4 objects, we're indicating the integer 4, which is a whole number with infinite precision (4.000...).
The rules of mathematics that apply to integers and whole numbers are universally valid, regardless of location or time. This is true for basic operations such as addition; whether adding whole numbers or integers, the operations remain the same. For instance, 12 + 19 = 31 regardless of whether we are adding goats, students, or any other countable items.