Aug
Natural numbers are the ones that people use every day to count items in daily life. You learned them when you first understood what numbers were. Start counting at 1, then 2, then 3, and so forth. Some will include zero in the order of natural numbers and others don’t. There are three reasons to use natural numbers: counting, ordering, and naming. They have certain properties and are useful in algebraic equations as well.
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Natural numbers started as humans began to use the idea of counting items. They started out as words used to designate a certain count of items. Over time, various civilizations began to create symbols to designate what each number was. One symbol indicated “1,” while another symbol indicated “2.” This advancement provided the opportunity to start recording numbers. This advancement started well before the Egyptians and Babylonians started recording numbers. The next advancement in counting came with the notion of the number zero (0). The first notion of it appeared in Babylonaround 700BC. It was in use in Mesoamericabefore the 1st century BCE. Its extensive use did not start until sometime between 500 and 700 CE.
Separate schools of thought rose up as mathematics advanced. Today, you see the number zero counted in natural numbers among logicians, computer scientists, and set heorists. However, many still use the older definition that zero is not a number in the natural set. Mathematicians use a capital N to notate the set of all of these types of numbers. It goes for infinity, but is theoretically countable. Often, to clarify the status of zero in the set, many notations indicate the set: such as N = {0, 1,…} or N = {1, 2,…}. Each discipline that deals with these numbers can use different notations.
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There are several properties associated with these numbers. The closure property indicates that when you perform an operation on a natural number the result will always produce a unique member of the set of natural numbers. For natural numbers, there is always closure for addition and multiplication, but not division or subtraction. For example, this addition equation shows “3 + 7 = 10,” another type of number that is natural. However, the subtraction equation “3 – 7 = -4″ does not result in a natural number. The associative property indicates that you can change the order of the operands and not change the result. For example, a + b = b + a. Those are only two of the many properties of natural numbers.