Exercise 1.1: Introduction to Rational Numbers
Step-by-step verified solutions by expert Sudhir Tutorials faculty.
Question 1Easy
Is zero a rational number? Can you write it in the form pq, where p and q are integers and q ≠ 0?
💡 Key Concept / Formula:
Definition of Rational Number: A number that can be expressed as pq where q ≠ 0.
Step-by-Step Explanation:
1Recall definition of rational number
A rational number is any number that can be written in the form pq, where p and q are integers and q ≠ 0.
2Represent zero as a fraction
Zero can be written as 01, 02, 0-5, etc.
✅ Final Answer:
Yes, zero is a rational number. It can be written in the form 01, where p = 0 and q = 1 ≠ 0.
Question 2Medium
Find six rational numbers between 3 and 4.
💡 Key Concept / Formula:
Multiply numerator and denominator of both numbers by (n + 1) = 7.
Step-by-Step Explanation:
1Convert 3 and 4 with denominator 7
3 = 217 and 4 = 287.
2List intermediate rational numbers
Fractions between 217 and 287 are 227, 237, 247, 257, 267, 277.
✅ Final Answer:
227, 237, 247, 257, 267, 277.