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4 cards from this section. Quick, good the night before a test.
Are whole numbers closed under addition?
Think about adding 2 and 3.
What is an example of two integers that subtract to a positive number?
Choose integers such as 5 and 3 or similar.
Are whole numbers closed under subtraction?
Consider an example like 3 - 5.
What kind of numbers are rational numbers?
Think of the definition of rational numbers.
Find two rational numbers p/q and r/s such that p/q + r/s results in a rational number, verifying closure.
Think of a common denominator.
Using examples, explain why closure can't hold for division within integers.
Consider outcomes when dividing if the divisor is larger or smaller.
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