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Answer the following questions by replying.
a) (10 points) Give an example of an irrational number and describe why it is irrational.
b) (10 points) Use 2 different numbers and 1 variable to create an Algebraic statement demonstrating the Associative or Commutative property and state which property you demonstrated. The example you create must be different from those in the notes.
c) (10 points) Create an Algebraic statement demonstrating the Inverse or Identity property and state which property you demonstrated. The example you create must be different from those in the notes.
d) (10 points) Order the numbers 1.1, 0.138, 1.412 and √2 from least to greatest.
e) (10 points) Using either addition and subtraction or multiplication and division, write a single Algebraic expression that includes the following requirements:
i) At least 1 number is a rational number that is not an integer.
ii) At least 1 negative number.
iii) At least 1 whole number that is not a natural number
f) (10 points) State if your single Algebraic expression in e) will result in a positive or negative answer. Justify your answer using complete sentences.
Part II - (40 points)
You must wait 30 minutes after posting Part I to complete this part.
Starting at the top, reply to the first classmate who's Part I has not been corrected by another student. In-other-words, nobody has replied to their answers to Part I. Use complete sentences to describe if your classmate answered each question correctly. If they did not, explain the error and give the correct response. Again, use a), b), etc and a blank line between to help with readability.
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