Numerals are special symbols or figures that represent numbers. When we combine the numbers 0 to 9 in a specific order, we create numerals. These numerals can be as simple as a single digit, like 5, or have two digits, like 12, three digits, like 564, or even four digits, like 5854.
There are two types of numerals we'll learn about:
Western Arabic Numerals: These are the everyday numbers we use, like 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Roman Numerals: These are special symbols that represent numbers, like I for 1, V for 5, X for 10, and so on.
A numeral with four digits, like 4586, is called a fourdigit number. To understand a number, we look at its place values, which go from Ones, Tens, Hundreds, to Thousands and beyond.
Example1: For the number 24, we start from the rightmost digit. 4 is in the Ones place, and 2 is in the Tens place. So, 24 can be written as (2 x 10) + (4 x 1) = Twenty + Four = Twentyfour.
Example 2: For 789, we have 9 in the Ones place, 8 in the Tens place, and 7 in the Hundreds place. So, 789 = (7 x 100) + (8 x 10) + (9 x 1) = Seven Hundred + Eighty + Nine.
Roman Numerals use special letters to represent numbers. For example, I is 1, V is 5, X is 10, and so on. We can create Roman Numerals by understanding the place values and using the corresponding letters.
Example 3: To write 23 in Roman numeral form, we know 3 is in the Ones place and 2 is in the Tens place. So, 23 = (2 x 10) + (3 x 1) = XXIII.
Example 4: For 2356, where 6 is in the Ones place, 5 in the Tens, 3 in the Hundreds, and 2 in the Thousands, we can write it as MMCCLVI.
Isn't it fascinating to discover the world of numbers and how we can express them in different ways?
Edurev Tips:
 10 ones = 1 ten. Change 10 ones to 1 stick of ten.
 10 tens = 1 hundred. Change 10 tens to 1 block of hundred.
1 thousand is written as 1000.
1 thousand can be shown as:
Have a look on:
Now, observe the following.
Number name for 1536 is ‘one thousand five hundred thirtysix.
We write the number 1536 in standard form as:
Likewise, we have
(a)
Number name: Three thousand one hundred thirtyseven
Standard form: 3,137
(b)
Number name: Five thousand four hundred six
Standard form: 5,406
(c)
Number name: Four thousand five hundred
Standard form: 4,500
Similarly, we can form the numbers up to the largest 4digit number, that is 9,999.
A 4digit number, say 5,789 can be written in three ways:
Example1:
Example2:
Edurev Tips: There are no hundreds, so put a ‘0’ at the hundreds place. There are no ones, so put a ‘0’ at the ones place.
You have already learned in the previous classes that place value of a digit in a number depends upon the place it occupies in the number.
The face value of a digit in a number is the digit itself. It does not depend on the place it occupies in the number. Consider the number 8435.
Edurev Tips: The face value and the place value of 0 is always 0.
The number 18 comes just after 17. The number 18 is called the successor of 17.
The number that comes just after a particular number is called its successor.
You can get the successor by adding 1 to the number.
So, successor = given number + 1.
79 + 1 = 80, successor of 79; 460 + 1 = 461, successor of 460.
7652 + 1 = 7653, successor of 7652.
The number 16 comes just before 17. The number 16 is called the predecessor of 17.
The number that comes just before a particular number is called its predecessor.
You can get the predecessor by subtracting 1 from the number.
So, predecessor = given number – 1
88 – 1 = 87, predecessor of 88; 200 – 1 = 199, predecessor of 200.
9999 – 1 = 9998; predecessor of 9999.
Observe the numbers in the middle column. Their predecessors are given in the first and the successors in the third column.
Rule: A number having more number of digits is greater than the number having lesser number of digits.
Example1: Which is greater?
(a) 136 or 79
(b) 4386 or 896
(a) Do you notice that 79 is a 2digit number while 136 is a 3digit number? So, 136 > 79.
(b) 896 is a 3digit number while 4386 is a 4digit number. So, 4386 > 896.
Rule: To compare two 4digit numbers, first compare the digits at the thousands place. If they are equal, compare the digits at the hundreds place. If they are also equal, compare the digits at the tens place. If they are also equal, compare the digits at the ones place.
Edurev Tips: While comparing two numbers, always start comparing the digits from the leftmost place.
Ascending order means arranging the numbers from the smallest to the greatest.
Descending order means arranging the numbers from the greatest to the smallest.
Example 1: Write the following numbers in descending and ascending order. 6815, 5936, 8043, 6924, 4015, 327, 18
Step 1: First, we arrange the given numbers in place value chart as shown.
Step 2: On comparing the digits at the thousands place, you would notice
8 > 6 > 5 > 4
There are two numbers with digit 6 at the thousands place.
Step 3: Comparing the digits at the hundreds place of 6815 and 6924, we notice that 9 > 8.
Therefore, 6924 > 6815.
Step 4: 327 has more digits than 18.
So, 327 > 18.
Thus, the given numbers arranged in descending order are:
8043 > 6924 > 6815 > 5936 > 4015 > 327 > 18
In ascending order the numbers would be arranged as:
18 < 327 < 4015 < 5936 < 6815 < 6924 < 8043
You may omit the symbol '<' and write them in simple form as under:
18, 327, 4015, 5936, 6815, 6924, 8043.
With some practice, it should be possible for you to write a given set of numbers in ascending or descending order without making a place value chart.
If one of the digits is zero, as in 4, 7, 8, 0 then the largest number = 8740 and the smallest number = 4078 and not 0478 because 0478 becomes a 3digit number.
Rule: To write the smallest 4digit number, we arrange the digits in ascending order and repeat the smallest digit at the second highest place i.e, at the hundreds place.
Example 1: Write the smallest 4digit number using the digits 1, 3, and 6. (Digits may be repeated)
Since we have to form the smallest 4digit number using 3 given digits, we repeat the smallest digit, i.e., 1 at the hundreds place. Therefore, the required number is 1136.
Example 2: Write the greatest 4digit number using the digits 3 and 7. The digits may be repeated.
Comparing the digits, we have 7 > 3. Since, we have to form the greatest 4digit number using the two digits 3 and 7, we repeat the greater digit 7 at hundreds and tens place.
Therefore, the required greatest number is 7773.
30 videos62 docs10 tests

1. How do we represent numbers? 
2. How do we count by thousands? 
3. How do we form numbers? 
4. What is place value and face value? 
5. How do we compare numbers? 

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