Question

multiple answer 1 point
review: which set(s) does $-7$ belong?
$square$ rational
$square$ irrational
$square$ natural
$square$ integer
$square$ whole
$square$ real

Explanation:

• Rational numbers are numbers that can be written as $\frac{a}{b}$ where $a,b$ are integers and $b

eq0$. $-7$ can be written as $\frac{-7}{1}$, so it is rational.

• Integers include all positive and negative whole numbers, plus 0. $-7$ is a negative whole number, so it is an integer.
• Real numbers include all rational and irrational numbers. Since $-7$ is rational, it is also a real number.
• Natural numbers are positive counting numbers (1,2,3,...), so $-7$ is not natural.
• Whole numbers are non-negative integers (0,1,2,...), so $-7$ is not a whole number.
• Irrational numbers cannot be written as a fraction of two integers, so $-7$ is not irrational.

Answer:

$\square$ Rational
$\square$ Irrational
$\square$ Natural
$\blacksquare$ Integer
$\square$ Whole
$\blacksquare$ Real