# Mathematics - Class 6 / Grade 6

- Whole Numbers - Introduction / Basics of Whole Numbers
### Whole Numbers - Introduction / Basics of Whole Numbers

Math - Class 6 (CBSE/NCERT) - Whole Numbers - Introduction / Basics of Whole Numbers – Practice Questions and Solutions/Notes/ Tags: Natural and Whole Numbers for Class 6, what are natural numbers? What are whole numbers? Free printable worksheets PDF and practice pages on Natural and Whole Numbers for Grade 6, Multiplication on the number line, Subtraction on the number line, Addition on the number line, Basic facts about whole numbers for VI grade, Important facts about natural numbers, Predecessor and Successor of Whole numbers for sixth class, Smallest whole number, Largest whole number, Write the successor of 3240601, Write the predecessor of 7790, Write the next three natural numbers after 20125, Write whole numbers between 55 and 65. Which is the smallest whole number? Find 8 – 3 using number line. Which is the smallest natural number? Represent the following whole numbers on the number line.1, 8, 0, 5, 2, Arrange the following whole numbers in the descending order.56, 89, 34, 41, 99, 12, Write the smallest and largest 6 digit whole number. Write the smallest and largest 6 digit whole number. 1. Counting numbers {1, 2, 3, 4...} are natural numbers. Which is the smallest natural number? which is the smallest whole number? Every whole number is a natural number, The set of natural numbers along with zero are called whole numbers.### Whole Numbers

Let’s begin with natural numbers.

#### When we begin to count we naturally use counting numbers {1, 2, 3, 4...}. Hence, Natural numbers are the set of numbers ranging from 1 to infinity.

We represent natural numbers by ‘N’.

Or we can say N = {1, 2, 3, 4...} (i.e. 1 to infinity)

Every natural number has a predecessor and a successor such as

__predecessor__of**2**is**1**and__successor__of**2**is**3**.**What about 1? Does 1 have both a predecessor and a successor?**#### We found that the number 1 has no

__predecessor__in natural numbers.Only after adding ‘0’ to the set of natural numbers,

**1**will have predecessor.**Important Note:**#### 1. The smallest natural number is ‘1’.

#### 2. There is no largest natural number.

#### 3. Every natural number is a whole number.

#### 4. Every natural number has its successor.

#### Basic Facts About Whole Numbers

#### The set of natural numbers along with zero are called whole numbers. The set of Whole numbers excludes decimal or fractional numbers.

We represent whole numbers by ‘W’.

Or we can say W = {0, 1, 2, 3, 4...} (i.e. 0 to infinity)

**Important Note:**#### 1. We can obtain successor of a whole number by adding 1 to the given whole number.

__Example:__**6**Here, number is

**6**.Successor =

**6**+**1**=**7**Every whole number has its successor.

#### 2. We can obtain predecessor of whole number by subtracting 1 from given whole number.

__Example:__**10**Here, number is

**10**.Predecessor =

**10**-**1**=**9**#### 3. Zero has no predecessor.

#### 4. The smallest whole number is ‘0’.

#### 5. There is

*no largest*number in set of whole numbers.#### 6. Every whole number excluding ‘zero’ is a natural number

Number Line

#### A line on which numbers are marked at equal intervals to show simple numerical operations is called a number line.

In order to represent whole numbers on a number line, we draw a straight line and mark a point O on it.

From ‘0’ point, mark points 1, 2, 3, 4, 5, 6, 7, 8, 9, etc. on the line at equal intervals to the right of ‘0’.

The arrow-head on the right-side on the number line shows that the numbers can continue up to infinity. With the help of number line we can compare two whole numbers (i.e. we can easily find out which number is greater or smaller).

On the number line we see that the number 6 is on the right of 3.

Hence 6 is greater than 3 (i.e. 6 > 3). Number 1 lies on the left of 3.

Therefore 1 is smaller than 3 (i.e. 1 < 3).

#### Addition on the number line

Here, 3 is added to the given number i.e. 2, so we will make 3 jumps to the right of 2.

i.e. 1st jump – from 2 to 3,

2nd jump – 3 to 4

And 3rd jump – 4 to 5

Therefore, the sum of 2 and 3 is 5

#### Subtraction on the number line

Here, 2 is subtracted from the given number i.e. 6, so we will make 2 jumps to the left of 6.

i.e. 1st jump – from 6 to 5,

And 2nd jump – 5 to 4

Therefore, we get 6 – 2 = 4

#### Multiplication on the number line

Start from 0, move 2 units at a time to the right, make such 3 moves. And we will reach 6.

So, we say, 2 × 3 = 6.

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