Place Value and Face Value

# Place Value and Face Value

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

### 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.

## 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!