Question

Check each set that includes the number shown.

Answer 1

Answer:

The set that includes the number -17 is integers

Answer 2

Answer:

Integers, rational numbers and real numbers

Explanation:

• Natural numbers are those we use to count: 1, 2, 3, ... etc. So -17 is not included in this set of numbers because it is negative.

• Whole numbers are the natural numbers plus the zero, so -17 is also not a whole number.

• Integers are the whole numbers plus the negative numbers: ...- 2, -1, 0, 1, 2, 3, ... etc. So this set does include -17.

• Rational numbers are those that can be represented as a fraction between two integers $\frac{A}{B}$, so the set of rational numbers includes the integers. Some examples are: $\frac{1}{2}$, $\frac{-5}{3}$, $\frac{13}{1}$, ... Since  -17 can be represented as a fraction($\frac{-17}{1}$) It is a rational number.

• Irrational numbers are those that have non-periodic infinite decimals, such as $\pi$, $e$, among others. So -17 is not an irrational number.

and finally,

• the real numbers is the grouping of all the aforementioned sets, so since -17 belongs to the rational numbers, it also belongs to the real numbers.