C3 Lesson 1: Part 4 Try It Out Solutions

Compare your answers for the Number Classification Activity below.

Evaluate each of the numbers below.

Answers may vary, for the last two columns below.

	Color in or Mark with “X” each category that the number can be classified into.
Number	Real Number	Rational Number	Integer	Whole Number	Natural Number	Irrational Number	What is one category that this number does NOT fit?	Why does this number not fit the category you named?
$\frac{55}{11}$	X	X	X	X	X		Irrational Numbers	Whole numbers cannot be classified as irrational.
$- 61.375$	X	X					Irrational Numbers	The decimal terminates.
$\frac{16}{3}$	X	X					Integer	Integers do not include fractions that can not be simplified to a whole number.
$8.72148039 \dots$	X					X	Rational Numbers	The decimal does not terminate or repeat.
$\frac{- 21}{6}$	X	X					Whole Number	Whole numbers do not include decimals or negative numbers.
628	X	X	X	X	X		Irrational Numbers	Whole numbers are not irrational.
$\frac{50}{25}$	X	X	X	X	X		Irrational Numbers	Fractions that simplify to whole numbers are not irrational.
$29.06530912 . . .$	X					X	Rational Numbers	The decimal does not repeat or terminate.
Student generated answers will vary. Determine the correctness of their answer using the definitions from the Lesson 1 Instructors Content, and by discussing the student’s reasoning.
Student generated answers will vary. Determine the correctness of their answer using the definitions from the Lesson 1 Instructors Content, and by discussing the student’s reasoning.
Student generated answers will vary. Determine the correctness of their answer using the definitions from the Lesson 1 Instructors Content, and by discussing the student’s reasoning.