Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

identify the following number. choose all that apply.\\(\\frac{1}{10}\\…

Question

identify the following number. choose all that apply.\\(\frac{1}{10}\\)\
answer\
\\(\square\\) natural number \\(\square\\) whole number\
\\(\square\\) integer \\(\square\\) rational number\
\\(\square\\) irrational number \\(\square\\) real number\
\\(\square\\) undefined

Explanation:

Step1: Define number types

Natural numbers: Positive integers ($1,2,3,...$); Whole numbers: Non-negative integers ($0,1,2,...$); Integers: $...,-2,-1,0,1,2,...$; Rational numbers: Numbers expressible as $\frac{p}{q}$ where $p,q$ are integers, $q
eq0$; Irrational numbers: Non-rational real numbers; Real numbers: All rational + irrational numbers.

Step2: Classify $\frac{1}{10}$

$\frac{1}{10}$ fits $\frac{p}{q}$ ($p=1,q=10$, integers, $q
eq0$), so it is rational. All rational numbers are real numbers. It is not a natural/whole/integer/irrational/undefined number.

Answer:

  • Rational Number
  • Real Number