In forming the largest and smallest numbers, we know the procedure for arranging the numbers in ascending and descending order. We have already learned that the largest number is formed by arranging the given digits in descending order, and the smallest number by arranging them in ascending order. The position of the digit to the far left of a number increases its place value. Therefore, the largest digit should be on the far left of the number to increase its value.
If one of the given digits is 0, we never write the digit 0 in the leftmost position, but rather 0 in the second position from the left to get the smallest number.
Examples of the formation of the largest and smallest numbers:
1. Form the largest and smallest number with the digits 9, 3, 7, 5.
Make the largest number |
Form the smallest number |
The largest number should have the largest digit in the thousands, namely 9. |
The smallest number should have the smallest digit in the thousands, which is 3. |
The next larger number among the hundreds is 7. |
The next lower digit in the hundreds is 5. |
The next larger digit to the tens is 5. |
The next lower digit in the tens is 7. |
The lowest digit at the point that is 3. |
The next lower digit at the point that is 9. |
So the largest number is 9753 |
So the smallest number is 3579 |
Here the digits are arranged in descending order |
Here the digits are arranged in ascending order. |
2. Form the largest and smallest numbers with the digits.
6, 8, 1, 0, 9, 5, 4, 2.
Solution:
We’ll arrange the given digits in descending order to make the largest number. Hence the largest number is 9,86,54,210.
We’ll arrange the given digits in ascending order to make the smallest number. Hence the smallest number is 1,02,45,689.
Solved examples Formation of the largest and smallest numbers:
3. Suppose we need to make the largest number using the digits 6, 5, 2, 9. We know that a four-digit number has four digits, that is, thousands, hundreds, tens, and ones, or units from left to right as Th, H., T., Ö. If the highest to lowest digits are placed in these places in descending order, we get the greatest number and when placed in ascending order we get the smallest number.
Observe the formation of the largest and smallest numbers, which are formed like this:
Th HT O.
Largest number 9 6 5 2
Smallest number 2 5 6 9
To get the largest number, the largest digit 9 is placed at the place with the highest value, i.e. at the place with thousands, the next smaller digit 6 at the place with hundreds, the even smaller digit 5 at the place of ten and the lowest digit 2 in the place of someone or units.
So the largest number is 9652.
To get the smallest number, the smallest digit 2 is placed in the thousands, the next larger digit 5 in the hundreds, the even larger digit 6 in the tens and the largest digit 9 in the ones or units.
So the smallest number is 2569.
4th Suppose we need to make the largest number using the digits 8, 1, 4, 7. We know that a four-digit number has four digits, that is, thousands, hundreds, tens, and ones, or units from left to right as Th, H., T., Ö. If the highest to lowest digits are placed in these places in descending order, we get the greatest number and when placed in ascending order we get the smallest number.
Observe the formation of the largest and smallest numbers, which are formed like this:
Th HT O.
Biggest number 8 7 4 1
Smallest number 1 4 7 8
To get the largest number, the largest digit 8 is placed in the place with the highest value, i.e. in the thousands, the next lower digit 7 in the hundreds, the even smaller digit 4 in the tens and the smallest digit 1 in the place a person or a unit.
So the largest number is 8741.
To get the smallest number, the smallest digit 1 is placed in the thousands, the next larger digit 4 in the hundreds, the even larger digit 7 in the tens and the largest digit 8 in the ones or units.
So the smallest number is 1478.
When forming the largest and smallest numbers, the numbers are arranged in ascending and descending order.
Related concept
4th grade math activities
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