Question

spiral review 4 - grade in sis
which of the following can be defined as an integer, but not a whole number
$\boldsymbol{-\frac{1}{3}}$
$\boldsymbol{-sqrt{20}}$
$\boldsymbol{-\frac{20}{4}}$
$\boldsymbol{-13.1}$

Explanation:

Step1: Recall definitions

Integers include whole numbers (0, 1, 2, 3, ...) and their negatives (-1, -2, -3, ...). Whole numbers are non - negative integers (0, 1, 2, 3, ...).

Step2: Analyze each option

• Option 1: $-\frac{1}{3}$ is a fraction (rational number), not an integer.
• Option 2: $-\sqrt{20}=-\sqrt{4\times5}=- 2\sqrt{5}\approx - 4.47$, which is an irrational number, not an integer.
• Option 3: Simplify $-\frac{20}{4}=- 5$. - 5 is an integer (since it is a negative whole number) and it is not a whole number (because whole numbers are non - negative).
• Option 4: $-13.1$ is a decimal (rational number), not an integer.

Answer:

$-\frac{20}{4}$ (or the option corresponding to $-\frac{20}{4}$)