Every integer is a rational number but every rational number need not be an integer. Is the given statement true or false?
Solution:
Given, every integer is a rational number but every rational number need not be an integer
We have to determine if the given statement is true or false
An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.
Example : -1, -2, 0, 1, 4, 5,etc
A number that can be expressed in the form p/q , where p and q are integers and q ≠ 0, is called a rational number.
Example : -1/2, 0, 3/4, etc
It is clear that every rational number is formed using two integers.
Therefore, the given statement is true
✦ Try This: Find the product of 4 5/6 and 7 3/4
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9
NCERT Exemplar Class 7 Maths Chapter 8 Problem 49
Every integer is a rational number but every rational number need not be an integer. Is the given statement true or false?
Summary:
The given statement, “Every integer is a rational number but every rational number need not be an integer” is true
☛ Related Questions:
- Every negative integer is not a negative rational number. Is the given statement true or false
- If p/q is a rational number and m is a non-zero integer, then p/q = p × m / q × m. Is the given stat . . . .
- If p/q is a rational number and m is a non-zero common divisor of p and q, then p/q = p ÷ m / q ÷ m. . . . .
visual curriculum