All rational numbers are integers. Is the given statement True or False?
Solution:
Given, all rational numbers are integers.
We have to determine if the given statement is true or false.
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 : 2/3, -3/2, -2, etc
An integer is a whole number but not a fractional number, that can be positive, negative, or zero.
Example : -3, -2, 0 , 1, 4, etc
Therefore, the given statement is false.
✦ Try This: Find the product of the rational numbers 3/4 and 4/5.
Given, the rational numbers are 3/4 and 4/5.
We have to find the product of the rational numbers.
(3/4) × (4/5) = (3 × 4)/(4 × 5)
Cancelling out common terms,
= 3/5
Therefore, the product of the given rational numbers is 3/5.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9
NCERT Exemplar Class 7 Maths Chapter 8 Sample Problem 9
All rational numbers are integers. Is the given statement True or False?
Summary:
The given statement, “All rational numbers are integers” is false
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