# Why is a rational number not a whole number?

### Table of Contents

- Why is a rational number not a whole number?
- Are rational numbers the same as sets of whole numbers?
- Are all rational numbers integers True or false?
- Which is the smallest whole number?
- Is 3 a whole number?
- What are the types of rational numbers?
- What are the six rational numbers between 3 and 4?
- Is every real no an integer?
- What is the biggest whole number?
- Is zero is a whole number?
- Is the set of rational numbers a whole number?
- What's the difference between integers and rational numbers?
- Is there an infinite number of rational numbers?
- Can a rational number be written as a fraction?

### Why is a rational number not a whole number?

So every whole number is a rational number, because any of these could be expressed as a quotient, by just putting as divided by 1 (thus 27/1, 1,789/1, 8,345,725/1). But many rational numbers are NOT whole numbers, because **some rational numbers are negative**, and some can only be expressed as fractions or decimals.

### Are rational numbers the same as sets of whole numbers?

**Every whole number is a rational number**: for example, 3=31. So it is rational. Every whole number n can be written as a fraction of integers: n=n1.

### Are all rational numbers integers True or false?

Answer: Every integer is a rational number. The **statement is true**. An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.

### Which is the smallest whole number?

0
The smallest whole number is "**0**" (ZERO).

### Is 3 a whole number?

In mathematics, whole numbers are the basic counting numbers **0**, 1, 2, 3, 4, 5, 6, … and so on. 17, 99, 267, 8107 and 999999999 are examples of whole numbers. Whole numbers include natural numbers that begin from 1 onwards. Whole numbers include positive integers along with 0.

### What are the types of rational numbers?

**The different types of rational numbers are:**

- integers like -2, 0, 3 etc.
- fractions whose numerators and denominators are integers like 3/7, -6/5, etc.
- terminating decimals like 0.35, 0.7116, 0.9768, etc.
- non-terminating decimals with some repeating patterns (after the decimal point) such as 0.333..., 0.141414..., etc.

### What are the six rational numbers between 3 and 4?

Summary: Six rational numbers between 3 and 4 are **22/7, 23/7, 24/7, 25/7, 26/7, and 27/7**.

### Is every real no an integer?

Yes, **every integer is a real number**. Real numbers are defined in a number of different ways.

### What is the biggest whole number?

**What are Whole Numbers?**

- There is no 'largest' whole number.
- Except 0, every whole number has an immediate predecessor or a number that comes before.
- A decimal number or a fraction lies between two whole numbers, but are not whole numbers.

### Is zero is a whole number?

**Zero can be classified as a whole number**, natural number, real number, and non-negative integer. It cannot, however, be classified as a counting number, odd number, positive natural number, negative whole number, or complex number (though it can be part of a complex number equation.)

### Is the set of rational numbers a whole number?

NO, NOT every rational number is a whole number. The set of whole numbers is the set of all non-negative integers: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, }, but there are an infinite number of rational numbers.

### What's the difference between integers and rational numbers?

Individuals often refer to integers as the positive and negative numbers. Integers are -4, -3, -2, -1, 0, 1, 2, 3, 4 and so on. Rational Numbers . Rational numbers have integers AND fractionsAND decimals. Now you can see that numbers can belong to more than one classification group.

### Is there an infinite number of rational numbers?

In fact, there is an infinite number of irrational numbers between 0 & 1 on the number line. The number ½ is a rational number because it is read as integer 1 divided by the integer 2. You can also consider 15/3 or 10/5 as rational numbers since 15 divided by 3 equals to 5 and 10/5 equals to 2.

### Can a rational number be written as a fraction?

A rational number is not just a fraction. It means that any number, be it natural number or integers, can be written in the form of p q such that q is never equal to 0. But we cannot write every number in that way. b) The only common divisor between the numerator and the denominator is 1. a) Check if the denominator is positive or negative.