**4-digit Numbers**

We know
that the largest 3-digit number is 999.

What
happens if you add 1 to it?

999 + 1 = 1,000

We get
the smallest 4-digit number, that is 1,000.

It is
read as

**one thousand**.
What is
the largest 4-digit number? It is 9,999.

##
**Number
Names **

Let us see the number names of some of the numbers.

5486: Five thousand four hundred eighty-six

7490: Seven thousand four hundred ninety

4037: Four thousand thirty-seven

3459: Three thousand four hundred fifty-nine

##
**Place
Value and Face Value **

**Place value**of a digit in a number is determined by the position of that digit in the number. We have four places in a 4-digit number, namely, ones (O), tens (T), hundreds (H) and thousands (Th).

**Examples:**The place value of 3 in 6813 is 3.

The place value of 4 in 4743 is 40.

The place value of 7 in 6734 is 700.

The place value of 1 in 1948 is 1000.

**Face value**of a digit is the digit itself.

**Examples:**The face value of 5 in 1735 is 5.

The face value of 6 in
2364 is 6.

The face value of 7 in
4764 is 7.

The face value of 4 in
4283 is 4.

The face value of a digit always remains the same,
irrespective of its position in a number.

###
**Expanded Form**

6,125 can be written in expanded form as:

6,000 + 100 + 20 + 5.

5,439 can be written in expanded form as:

5,000 + 400 + 30 + 9

Read more in detail – Click Here!

###
**Standard Form**

To reduce the expanded form 7,000 + 400 + 50 + 6 in standard form,
arrange the numbers in appropriate columns and then add.

The standard form of the number is 7,456.

Read more in detail – Click Here!

##
**Numbers on Abacus **

Represent the following numbers on abacus.

a. 1292 b. 1276
c. 1580 d. 1453

a. Place 2 beads in the ones column, 9 beads in
the tens column, 2 beads in the hundreds column and 1 bead in the thousands
column.

b. Place 6 beads in the ones column, 7 beads in
the tens column, 2 beads in the hundreds column and 1 bead in the thousands
column.

c. Since ones place digit is 0, ones column does
not have any bead, place 8 beads in the tens column, 5 beads in the hundreds
column and 1 bead in the thousands column.

d. Place 3 beads in the ones column, 5 beads in
the tens column, 4 beads in the hundreds column and 1 bead in the thousands
column.

##
**Successor and
Predecessor **

The number that comes just after a given number is called the

**successor**of that number.**Examples:**The successor of 5 is 6.

The successor of 11 is 12.

The successor of 99 is 100.

The successor of 2657 is 2658.

The number that comes just before a given number is called the

**predecessor**of that number.**Examples:**The predecessor of 10 is 9.

The predecessor of 100 is 99.

The predecessor of 3158 is 3157.

The predecessor of 7183 is 7182.

##
**Comparison of Numbers**

1.
If the number of digits in the numbers to be
compared are different, the number having more number of digits is larger.

∴ 8,725
> 985 [Since 8,725 has 4 digits and 985 has 3 digits].

2.
If both the numbers have the same number of
digits, then compare the digits starting from the highest place value till the
digits are different.

For example,

a.
5,478 < 8,214 because 5 < 8

b.
5,973 > 5,832 because 5 = 5 but 9 > 8

###
**Ascending Order **

When
numbers are arranged in the order of the smallest to the largest, they are in

**ascending order**.**Example:**Arrange 1,836; 1,764; 6,087 and 5,453 in ascending order.

**Solution:**

Compare the digits with the highest
place value among the numbers.

Clearly, 1 < 5 < 6.

In 1,836 and 1,764; 1 = 1 but 7
< 8.

Thus, the ascending order is 1,764 < 1,836 < 5,453 < 6,087.

###
**Descending Order **

When
numbers are arranged in the order of the largest to the smallest, they are in

**descending order**.**Example:**Arrange 8,974; 3,638; 2,903 and 5,822 in descending order.

**Solution:**

All the numbers are 4-digit numbers.

Compare the numbers at the
highest places.

Clearly, 8 > 5 > 3 > 2

Thus, the descending order is 8,974 > 5,822 > 3,638 > 2,903.

##
**Even and Odd Numbers**

Numbers that can be
divided into exact groups of twos are called

**even numbers**. An even number ends with 0, 2, 4, 6 or 8.
For example, 16, 74,
358, 4796, etc.

Numbers that cannot be divided into exact groups of twos are
called

**odd numbers**. An odd number ends with 1, 3, 5, 7 or 9.
For example, 13, 75, 669,
8187, etc.

**Related Topics:**

How to form the greatest and the smallest numbers
using the digits? ---- Click Here!

Rounding Off Numbers ---- Click Here!