Sequence of natural numbers

### 1.1. Knowledge to remember

#### 1.1.1.

a) The numbers : 0,1,2,3,4,5,6,7,8,9,10…, 100,…1000,… are **natural numbers.**

The natural numbers arranged in order of smallest to largest form * series of natural numbers *:

0; first; 2; 3; 4; 5; 6; 7; ;8 ;9 ;9; ten;…

b) The sequence of natural numbers can be represented on the number line:

The number 0 corresponds to the origin of the number ray. Each natural number corresponds to a point on the number ray.

#### 1.1.2. In the series of natural numbers:

- Adding 1 to any number results in the next natural number. So,
**There is no greatest natural number, and the sequence of natural numbers can go on forever.**

For example, the number 1 000 000 adds 1 to the next natural number 1 000 001, the number 1 000 001 adds the next natural number 1 000 002,…

- Subtract 1 from any number (other than 0) to get the natural number immediately preceding that number.

For example, subtracting 1 from the number 1 gets the natural number immediately preceding the number 0. *There is no natural number that comes before 0, so 0 is the smallest natural number.*

*In the sequence of natural numbers, two consecutive numbers are more or less 1 unit apart.*

### 1.2. Solving Textbook Exercises

**Lesson 1: **Write the next natural number of each of the following numbers in the box

**Solution guide:**

- To find the next natural number of a number, we take that number and add 1 .

$first$unit.

**Lesson 2:** Write the preceding natural number of each of the following numbers in the box

__Solution guide:__

- To find the previous natural number of a number, subtract 1 . from that number

$first$unit.

**Lesson 3:** Write the correct number in the space so that there are three consecutive natural numbers

a) 4 ; 5 ; … . b) … ; eighty seven ; 88.

c) 896 ; … ; 898. d) 9 ; ten ; … .

e) 99 ; 100 ; … . g) 9998 ; 9999 ; … .

__Solution guide:__

- In the sequence of natural numbers, two consecutive numbers are 1 more or less different from each other.

a) 4; 5; 6 b) 86; eighty seven; 88

c) 896; 897; 898 d) 9; ten; 11

e) 99; 100; 101 g) 9998; 9999; 10000.

**Lesson 4: **Write the correct number in the dot

a) 909 ; 910 ; 911 ; … ; … ; … ; … ; … .

b) 0 ; 2 ; 4 ; 6 ; … ; … ; … ; … ; … ; … .

c) 1 ; 3 ; 5 ; 7 ; … ; … ; … ; … ; … ; … .

__Solution guide:__

Determine the rule of the given sequence of numbers and then write the appropriate numbers in the blanks:

- The sequence a is the sequence of consecutive natural numbers (two consecutive numbers are more or less 1 unit apart).
- Sequence b is a sequence of consecutive even numbers (two consecutive numbers are 2 more or less apart.).
- The sequence c is the sequence of consecutive odd numbers (two consecutive numbers are 2 more or less different from each other).

a) 909; 910; 911; 912; 913; 914; 915; 916.

b) 0; 2; 4; 6; 8; ten; twelfth; 14; 16; 18; 20.

c) 1; 3; 5; 7; 9; 11; 13; 15; 17; 19; 21.

.

=====

## Leave a Reply