Comparing Numbers
As we have done quite a lot of this earlier, let us see if we remember which is the greatest among these :
Let us do some more comparison problems.
Find greatest and smallest numbers:
1)Based on number of digits:
- Greatest :
Smallest : - Greatest :
Smallest : - Greatest :
Smallest : - Greatest :
Smallest :
Was that easy?
We just looked at the number of digits and found the answer.The greatest number has the most thousands and the smallest is only in hundreds or in tens.
2) When number of digits is same :
- They both have
digits. - But, the digit at the thousands place in 4875 is
that in 4879. - Let us move to the next digit. The digit at the hundreds place in 4875 is
that in 4879. - Let us move to the tens place. The digit at the tens place in 4875 is
that in 4879. - Let's compare the digits at the ones place. The digit at the ones place in 4875 is
that in 4879. - Thus, 4875 is less than 4879.
Now, let us solve some more problems.
3)Final Exercise:
- Greatest :
Smallest : - Greatest :
Smallest : - Greatest :
Smallest : - Greatest :
Smallest :
Now, let us see how to form numbers from given digits.
How many numbers can you make?
Suppose, we have four digits 7, 8, 3, 5. Using these digits we want to make different 4-digit numbers in such a way that no digit is repeated in them. Thus, 7835 is allowed, but 7735 is not. Make as many 4-digit numbers as you can.
Which is the greatest number you can get with 7,8,3,5?
The greatest number we can get with 7,8,3,5
Which is the smallest number you can get with 7,8,3,5?
The smallest number we can get with 7,8,3,5
Think about the arrangement of the digits in both. Can you say how the largest number is formed?
The numbers are arranged in
How about the smallest number?
The numbers are arranged in
How many possible combinations of 4 digit numbers you can make using these 4 numbers? We can make
It is 24 combinations because there are 4 choices for the first digit, 3 remaining choices for the second digit, 2 choices for the third digit, and 1 choice for the last digit, resulting in 4×3×2×1=24 different combinations.
Stand in proper order
(a) Can you arrange them in the increasing order of their heights?
(b) Can you arrange them in the decreasing order of their heights?
Which to buy?
Sohan and Rita went to buy an almirah.There were many almirahs available with their price tags.
(a) Can you arrange their prices in increasing order?
(b) Can you arrange their prices in decreasing order?
Ascending order Ascending order means arrangement from the
Descending order Descending order means arrangement from the
Arrange the following numbers in ascending order :
(a)
(b)
Arrange the following numbers in descending order:
(a)
(b)