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A subset is a set consisting of elements that belong to a given set. When studying mathematics, we focus on special sets of numbers. Notice that the sets of natural and whole numbers are both subsets of the set of integers. Decimals that repeat or terminate are rational. For example,.

Hope this helps! The Real Number System is a tricky concept for students. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. Perusing around Pinterest , I have seen a few great ideas that involve visuals and models to make things more concrete.

It is often said that mathematics is the language of science. If this is true, then an essential part of the language of mathematics is numbers. The earliest use of numbers occurred centuries ago in the Middle East to count, or enumerate items. Farmers, cattlemen, and tradesmen used tokens, stones, or markers to signify a single quantity—a sheaf of grain, a head of livestock, or a fixed length of cloth, for example. Doing so made commerce possible, leading to improved communications and the spread of civilization.

A set Any collection of objects. A subset A set consisting of elements that belong to a given set. When studying mathematics, we focus on special sets of numbers. The three periods … is called an ellipsis and indicates that the numbers continue without bound. Notice that the sets of natural and whole numbers are both subsets of the set of integers.

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