Question

check each set that includes the number shown.
-17
□ natural numbers
□ whole numbers
□ integers
□ rational numbers
□ irrational numbers
□ real numbers
done

Explanation:

• Natural numbers are positive counting numbers (1,2,3,...), so -17 is excluded.
• Whole numbers are non-negative counting numbers (0,1,2,...), so -17 is excluded.
• Integers include all positive/negative whole numbers and 0, so -17 is included.
• Rational numbers are numbers that can be written as $\frac{a}{b}$ (a,b integers, b≠0); -17 = $\frac{-17}{1}$, so it is included.
• Irrational numbers cannot be written as a fraction of integers, so -17 is excluded.
• Real numbers include all rational and irrational numbers, so -17 is included.

Answer:

□ natural numbers
□ whole numbers
☑ integers
☑ rational numbers
□ irrational numbers
☑ real numbers