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Are the following statements true or false?Give reason for your answer.Every rational number is an integer.
Given:
Every rational number is an integer.
To find:
We need to check whether the given statement is true or false.
Solution:
Integers:
Integers are like whole numbers, but they also include negative numbers.
• It includes negative numbers $(-1, -2, -3, -4, ………)$
• It includes positive numbers $(1, 2, 3, 4, 5, ………)$
• It includes Zero
• Decimal number and fractions are not included in integers.
Rational Numbers:
A number that can be expressed in the form $\frac{p}{q}$ where p and q are integers and q is not equal to zero is a rational number.
Rational numbers like $\frac{5}{2}$, $\frac{-10}{3}$ are not integers.
Therefore, every rational number is not an integer.
The given statement is false.
Updated on: 10-Oct-2022
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