Whole Numbers

Suppose you have a bag full of candies. Now, suppose you want to count the number of candies in the bag. **How will you start counting?**

You will start counting as 1, 2, 3, 4, 5 and so on.

Therefore, we can say that the above numbers are counting numbers and are known as **natural numbers**.

Now, consider the natural number 5. **Can you tell which number is the predecessor of 5 and which number is the successor of 5?**

The predecessor of 5 is 4 and the successor of 5 is 6.

How? Let us first define these terms.

**Successor**

“If 1 is added to any natural number, then we obtain the successor of that number.” |

**For example, **the successor of 11 will be 11 + 1 = 12.

**Predecessor**

“If 1 is subtracted from any natural number, then we obtain the predecessor of that number.” |

**For example, t**he predecessor of 11 will be 11 − 1 = 10.

To understand this better take a look at the given video.

**Note:**

**(1) ****Every natural number has a successor because there is no largest natural number.**

**(2) ****Successor and predecessor are reverse of each other.**

For example, 20 is the successor of 19 and 19 is the predecessor of 20.

**(3)*** Every number except 1 has a predecessor in case of natural numbers.* This is because 1 − 1 = 0 and 0 is not a natural number. It is a whole number.

Let us now see a few examples to understand the concept better.

**Example 1:**

**Write two successors and two predecessors of 245600.**

**Solution:**

First Successor = 245600 + 1 = 245601

Second Successor = 245601 + 1 = 245602

First Predecessor = 245600 − 1 = 245599

Second Predecessor = 245599 − 1 = 245598

**Example 2:**

**Write the number right before and after 893.**

**Solution:**

Number before 893 = 893 − 1 = 892

Number after 893 = 893 + 1 = 894

**Example 3:**

**Write four numbers next to 91.**

**Solution:**

This means that we have to find four successors of 91.

Successor of 91 = 91 + 1 = 92

Successor of 92 = 92 + 1 = 93

Successor of 93 = 93 + 1 = 94

Successor of 94 = 94 + 1 = 95

Thus, four numbers next to 91 are 92, 93, 94, and 95.

We know what whole numbers are. These numbers can be represented on a line, which is called the number line. We can use this number line to determine whether a number is greater or lesser than another given number. Let us take the help of this video to underst...

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