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!