Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select all the numbers that are rational.\newlineMulti-select Choices:\newline(A) 0.6‾0.\overline{6}\newline(B) −13-\frac{1}{3}\newline(C) 3\sqrt{3}\newline(D) 1.89891.8989\newline(E) 2π2 \pi

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Checkpoint: Rational and irrational numbersright chevron icon

Full solution

Q. Select all the numbers that are rational.\newlineMulti-select Choices:\newline(A) 0.6‾0.\overline{6}\newline(B) −13-\frac{1}{3}\newline(C) 3\sqrt{3}\newline(D) 1.89891.8989\newline(E) 2π2 \pi
  1. Analyze 0.6‾0.\overline{6}: Step 11: Analyze (A) 0.6‾0.\overline{6}\newline0.6‾0.\overline{6} represents the repeating decimal 0.6666…0.6666\ldots, which can be expressed as the fraction 23\frac{2}{3}.
  2. Analyze −13-\frac{1}{3}: Step 22: Analyze (B) −13-\frac{1}{3}−13-\frac{1}{3} is already in fractional form, which is a characteristic of rational numbers.
  3. Analyze 3\sqrt{3}: Step 33: Analyze (C) 3\sqrt{3} The square root of 33 is an irrational number because it cannot be expressed as a fraction of two integers.
  4. Analyze 1.89891.8989: Step 44: Analyze (D) 1.89891.8989\newline1.89891.8989 is a terminating decimal, which means it can be expressed as a fraction (1898910000\frac{18989}{10000}).
  5. Analyze 2π2 \pi: Step 55: Analyze (E) 2π2 \pi2π2 \pi (22 times π\pi) is irrational because π\pi is a non-terminating, non-repeating decimal.

More problems from Checkpoint: Rational and irrational numbers

Question
Solve for hh. \begin{align*} \frac{h}{6}-1 &= -3, \ h = \Box \end{align*}
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for xx.−30=5(x+1)x=□\begin{align*}-30 &= 5(x+1)\\x &= \square\end{align*}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{13,22,32} \{13,22,32\} \newline{11,22,33} \{11,22,33\} \newline{14,20,36} \{14,20,36\} \newline{15,21,37} \{15,21,37\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could not represent the three sides of a triangle?\newline{14,27,40} \{14,27,40\} \newline{4,9,14} \{4,9,14\} \newline{9,21,29} \{9,21,29\} \newline{12,17,28} \{12,17,28\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could not represent the three sides of a triangle?\newline{11,14,24} \{11,14,24\} \newline{12,21,33} \{12,21,33\} \newline{15,25,39} \{15,25,39\} \newline{10,22,31} \{10,22,31\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could not represent the three sides of a triangle?\newline{9,19,27} \{9,19,27\} \newline{6,20,27} \{6,20,27\} \newline{14,19,32} \{14,19,32\} \newline{9,18,25} \{9,18,25\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could not represent the three sides of a triangle?\newline{13,22,36} \{13,22,36\} \newline{8,18,25} \{8,18,25\} \newline{4,13,15} \{4,13,15\} \newline{5,8,12} \{5,8,12\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{10,13,22} \{10,13,22\} \newline{14,26,42} \{14,26,42\} \newline{6,14,22} \{6,14,22\} \newline{15,18,34} \{15,18,34\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{4,10,14} \{4,10,14\} \newline{12,25,36} \{12,25,36\} \newline{6,8,14} \{6,8,14\} \newline{15,30,46} \{15,30,46\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could not represent the three sides of a triangle?\newline{11,13,26} \{11,13,26\} \newline{13,19,30} \{13,19,30\} \newline{6,10,15} \{6,10,15\} \newline{13,19,29} \{13,19,29\}
Get tutor helpright-arrow

Posted 2 months ago

View all (79)