The number 1 can take on many forms. 4 - 3 = 1 and 10 - 9 = 1 can be used as a substitution for the number 1 because they have a value of 1. When the numerator of a fraction is equivalent to the denominator of a fraction, the value of the fraction is 1. This only works when you have a legal fraction; i.e., the denominator does not equal zero. You can substitute one of these fractions for the numer 1.
Example 3: According to Rule 1, is not a legal fraction because the denominator is zero. Therefore is undefined.
Example 4: The numerator is equivalent to the denominator.
Example 5: as long as .
Work the following problems and click on Answer
to check your results.
Problem 1: Find 9 x 1.
Problem 2: Find .
Problem 3: Write in three other ways.
Problem 4: Write in three other ways.
Problem 5: Write in three other ways.
Problem 6: Write 1 in three other ways.
Problem 7: Write 7 as a fraction in three ways.
Problem 8: Write -11 as a fraction in three ways.
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Author: Nancy Marcus