This set of numbers is NOT closed over (or under) subtraction. We certainly can do some subtraction problems like 10 – 7 since the answer 3 is in the set of numbers. But, if we turn this problem around Albania Phone Number List, no answer exists in this set of numbers. In elementary school, kids would respond “you can’t do that” or “you can’t take a big number away from a small number.” Each time we encounter a “you can’t do that” situation, a new symbol is created to solve the problem.

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We need an answer to the problem 7 – 10, so negatives were created to provide that answer. Adding the negatives to the numbers that exist at this point gives us this set: which is called the integers. The integers do not include fractions, decimals, per cents, or radicals. The integers are closed over addition, subtraction, and multiplication.

Albania Phone Number List
Albania Phone Number List

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You can choose any two integers and multiply them together and the answer exists in the set of integers. The difficulty occurs with division. Again, some division problems are fine: 10 divided by 2 is 5. But, turn that around to 2 divided by 10 and we again have a “you can’t do that.” For their level of knowledge, no answer exists. So math gets more difficult now because fractions are introduced as the solutions for those division problems, but fractions can also be expressed as decimals and as per cents.

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