"Every integer is a rational number".( True/ False). Give reason for your answer.
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"Every integer is a rational number".
- All integers are rational numbers as they can be expressed as p/q, where p, q are integers and q ≠ 0.
Since we know that integers are a collection of whole numbers and negatives of whole numbers.
Let's take a few examples to see how can we express integers as rational numbers.
- 4 is an integer but we can express 4 as 4/1 or 8/2 or 12/3 and all these are rational numbers.
- -3 is an integer but we can express (-3) as (-3)/1 or (-6)/2 or (-9)/3 and all these are rational numbers.
- 0 is an integer and it can be expressed as 0/1
Similarly, we can express any integer, whether positive or negative as a rational number.
Therefore, all integers are rational numbers.
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Answer:
Every integer is a rational number".
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