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Greater or Less than











































Comparing Number Values - Ordering Numbers

How do you tell if one number is greater than the other number?

Is -1 greater or less than -3.5?

Comments for Greater or Less than

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May 14, 2013
Comparing Numbers
by: Staff


Answer


The real number system we use has two separate properties which are worth mentioning:

Cardinality

Ordinality


Cardinality is the total number of possible numbers (elements) in the set of all Real Numbers (which of course is infinite).

Cardinality does not take the order of the numbers into account. There are just an infinite number of Real Numbers available, all jumbled together.

As an example, set A = {1, 2, 3, 4, 5} is the same as A = {4, 5, 3, 1, 2}. In this example, the cardinality of set A is 5 because there are five elements in the set.

The cardinality of a set is always a zero or a positive integer.

Ordinality is the relative position of a number with respect to other numbers.

This is the question you are asking: What are the relative positions of -1 and -3.5 in the sequence of all real numbers?

The easiest way to answer this question is to plot both numbers on a number line.

The number to the right is the largest number. The number to the left is the smallest number.



 Number Line - showing -1 and -3.5




Final Answer:

Math - Final Answer:  -3.5 is less than -1








Thanks for writing.

Staff
www.solving-math-problems.com




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