McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
2. Real Numbers
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Exercise 12 Page p10

Can you reduce the fraction?

Rational number, integer

Before we consider the given number, let's recall the various types of numbers.

  • Rational Number: A number is a rational number if it can be written in the form ab, where a and b are both integers and b≠ 0.
  • Integer: A number is an integer if it is a positive or negative counting number (or zero). All integers are also rational numbers because any number can be written as a division by one, a1.
  • Whole Number: A number is a whole number if it is a non-negative counting number. All whole numbers are also integers and rational numbers.
    • Natural Number: A number is a natural number if it is a positive counting number. All natural numbers are also whole numbers, integers, and rational numbers.
    • Irrational Number: An irrational number is a number that cannot be written in the form of a rational number. These are recognized as being non-repeating, infinite decimals.

    Now, let's try to categorize the given number using these definitions. -72/8 In its original form, we can see that it is a fraction of the form ab, where a and b are integers and b≠ 0. Therefore, it is a rational number. Can we reduce this fraction? Let's try!

    -72/8
    -9/1
    -9

    The fraction could be reduced because the denominator is a factor of the numerator. Dividing by 1 resulted in 9, which is a positive counting number. Therefore, we can also classify the number as an integer.