Question

1. # A Number Which Is Rational But Not An Integer

Have you ever seen a number which is rational but not an integer? It’s a fascinating concept that has been baffling mathematicians for centuries. In this blog post, we will explore what makes a number rational and why a number can be both rational and not an integer at the same time. We will look at some examples of such numbers and also how they can be used in practical applications. By the end of this article, you should have a better understanding of these unique numbers and how they differ from integers.

## What is a rational number?

A rational number is a number that can be expressed as a fraction, where the numerator (top number) and denominator (bottom number) are both integers.

For example, 1/2, 3/4 and 5/8 are all rational numbers.

Rational numbers can also be negative, such as -1/2 or -3/4.

notice that all rational numbers have a terminating decimal expansion – meaning that the decimal part of the number will eventually end (unlike with irrational numbers like π which go on forever without repeating).

## What is an integer?

An integer is a number that can be written without a fractional or decimal component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 512e3, and 1+cm are not.

## A number which is rational but not an integer

A number which is rational but not an integer is a number that can be expressed as a fraction p/q, where p and q are integers, and q ≠ 0, but p/q is not an integer. That is, a number which is rational but not an integer is a number that can be expressed as a fraction p/q, where p and q are integers, and q ≠ 0, but the fraction p/q is not equal to an integer.

There are many numbers which are rational but not integers. Some examples of numbers which are rational but not integers include: ¾ , 2.5 , −17 , and π . (Note that these numbers can all be expressed as fractions: ¾ = 3/4 , 2.5 = 5/2 , −17 = −17/1 , π = π/1 .)

It’s important to note that all integers are rational numbers (since they can be expressed as fractions like 2 = 2/1 ), but not all rational numbers are integers.

## Conclusion

In conclusion, rational numbers can be a whole number or they can have decimals. Rational numbers that are neither an integer nor a whole number are called non-integer rationals. Examples of such non-integer rationals include 0.5, 3/4 and 1/2. Understanding the concept of a rational number is important as it helps us to understand mathematics in greater depth. A basic understanding of this concept allows us to solve even complex mathematical problems with ease!

2. Have you ever come across a number that is rational but not an integer?

Well, believe it or not, there is such a number! A rational number is any number that can be expressed as a fraction, and an integer is a whole number. So, a rational number that is not an integer is one that can be expressed as a fraction, but does not have a whole number in the numerator.

Let’s take a closer look at this concept. A rational number is defined as any number that can be expressed as a ratio, or fraction. This means that if you divide one number by another, the result is a rational number. For example, if you divide 5 by 3, the result is 1.67, which is a rational number.

However, if you take a look at the numerator and denominator of this fraction, you’ll notice that neither is a whole number. This means that 1.67 is a rational number, but it’s not an integer.

What other numbers can be considered rational but not integers?

Well, any fraction that does not have an integer as its numerator or denominator can be considered rational but not an integer. For example, if you divide 5 by 4, the result is 1.25. This is a rational number because it can be expressed as a fraction, but it is not an integer because the numerator and denominator are not whole numbers.

Another example of a rational number that is not an integer is 3/7. Again, this number can be expressed as a fraction, but the numerator and denominator are not whole numbers.

What are some of the applications of rational numbers that are not integers?

Rational numbers that are not integers can be used in a variety of ways. For example, they can be used to describe the length of a line or the area of a shape. They can also be used to calculate the probability of an event occurring.

Finally, rational numbers that are not integers can also be used to approximate the value of a mathematical expression. This is what computers do when they use algorithms to solve complex problems.

So there you have it! Rational numbers that are not integers are actually quite common, and they can be used in a variety of ways. The next time you come across a number that is rational but not an integer, take a moment to appreciate its unique properties!