Are all integers rational numbers?
All integers are rational numbers
All integers are rational numbers.
To understand why, let’s first define what rational numbers are. Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers and the denominator is not zero.
Now, let’s consider an integer like -3. We can express -3 as a fraction by writing it as -3/1. As you can see, both the numerator (-3) and denominator (1) are integers, and the denominator is not zero. Therefore, -3 can be expressed as a fraction, making it a rational number.
Similarly, other integers like 0, 1, 2, or any positive or negative whole number can also be expressed as fractions where the numerator and denominator are integers and the denominator is not zero. Hence, all integers can be represented as rational numbers.
It is worth noting that not all rational numbers are integers. For example, 1/2, -5/3, or 7/4 are all rational numbers, but they are not integers because their numerators and/or denominators are not whole numbers.
In conclusion, all integers are rational numbers, but not all rational numbers are integers.
More Answers:
The Fundamentals of Integers: Properties, Operations, and Sign Rules for MathThe Importance and Characteristics of Whole Numbers in Mathematics
The Comprehensive Guide to Classifications of Real Numbers: Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers, and Real Numbers Explained