Checkpoint: Part 4 Solutions

Compare your answers for the Number Classification Activity below.

Evaluate each of the numbers below.
Color in or mark with “X” all classifications the number can be.

Answers may vary for the last two columns below.

Number	Real Number	Rational Number	Integer	Whole Number	Natural Number	Irrational Number	What is one category that this number does NOT belong in?	Why does this number not belong in 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					Integers	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 Numbers	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.