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Math Help - Name the sets of numbers to which each number belongs?

  1. #1
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    Name the sets of numbers to which each number belongs?

    Well yeah I just started Algebra II this year. I don't really understand this yet. Can someone do a couple of these? and then explain?

    I just scanned it into my computer.

    Here's what I can use:

    Name the sets of numbers to which each number belongs?-toppartalg.jpg

    Name the sets of numbers to which each number belongs?-bottompartalg.jpg








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  2. #2
    Senior Member eumyang's Avatar
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    1) 6/7 is a rational number because it can be expressed as a ratio of two integers. Since all rational numbers are real numbers, 6/7 is also a real number.

    3) 0 is a whole number and an integer. It is also a rational number (you could write 0 as 0/1) and a real number.

    8) 26.1 is a rational number (you could write it as 261/10). Rational numbers can also be decimals that terminate, like this one.

    14) \sqrt{42} is an irrational number. It's decimal equivalent would be a non-repeating, non-terminating decimal. All square roots of positive integers that are not perfect squares are irrational numbers. The numbers \pi and e are also irrational numbers. Since all irrational numbers are also real numbers, \sqrt{42} is also a real number.

    19) 894,000 is a natural number, a whole number, an integer, a rational number, and a real number.

    A couple of other points:
    - A number cannot be BOTH rational and irrational. It is one or the other.
    - Note the hierarchy of these sets of numbers. Example: all integers are rational numbers, but not all rational numbers are integers.
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