QQuestionMathematics
QuestionMathematics
# Instructions: Select the correct answer.
## Which number is a rational number?
$2.6457513110 \ldots$
0
17.156
$\sqrt{85}$
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this step by step, carefully examining each option to determine which is a rational number.
Step 2:: Recall the definition of a rational number
A rational number is a number that can be expressed as a fraction $$\frac{p}{q}$$, where p and q are integers and q ≠ 0.
Step 3:: Analyze each option
Option 4: $$\sqrt{85}
- This appears to be an irrational number (looks like a decimal expansion that does not terminate or repeat) - Not a rational number Option 2: 0 - This is a rational number ✓ Option 3: 17.156 - This is a terminating decimal - This is a rational number ✓ - This is an irrational number - Cannot be simplified to a fraction of integers - Not a rational number
Step 4:: Identify the rational numbers
From the analysis, 0 and 17.156 are rational numbers.
Final Answer
17.156 is a rational number.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students