Question

classify each number below as an integer or not.

	integer?
	yes	no
29	○	○
-17.87	○	○
\\(\frac{20}{5}\\)	○	○
\\(\frac{7}{2}\\)	○	○
\\(\frac{6}{3}\\)	○	○

Explanation:

Step1: Define integer (whole number)

Integers are positive/negative whole numbers, no decimals/fractions that don't simplify to whole numbers.

Step2: Evaluate 29

29 is a positive whole number.

Step3: Evaluate -17.87

-17.87 has a decimal component, not a whole number.

Step4: Simplify $\frac{20}{5}$

$\frac{20}{5}=4$, a positive whole number.

Step5: Simplify $\frac{7}{2}$

$\frac{7}{2}=3.5$, has a decimal component.

Step6: Simplify $\frac{6}{3}$

$\frac{6}{3}=2$, a positive whole number.

Answer:

Number	Integer? Yes	Integer? No
-17.87		$\bigcirc$
$\frac{20}{5}$	$\bigcirc$
$\frac{7}{2}$		$\bigcirc$
$\frac{6}{3}$	$\bigcirc$