Are all integers rational numbers?
Yes, all integers are rational numbers
Yes, all integers are rational numbers. To understand this, we first need to define what integers and rational numbers are.
Integers are whole numbers, both positive and negative, including zero. They do not have a fractional or decimal part. Examples of integers are -3, -2, -1, 0, 1, 2, 3, and so on.
Rational numbers, on the other hand, are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. They can be written in the form a/b, where a and b are integers, and b is not equal to zero. Rational numbers can be positive or negative, and they can also be whole numbers or fractions. Examples of rational numbers are 2, -3/4, 0.5, 1, -2/3, and so on.
Now, to answer your question, all integers can be expressed as fractions with a denominator of 1. For example, the integer 3 can be written as 3/1, and the integer -2 can be written as -2/1. Since these fractions meet the criteria of being a ratio of two integers, they are considered rational numbers.
In conclusion, all integers are rational numbers because they can be expressed as fractions of two integers, where the denominator is not zero.
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