Numbers

Counting things is easy for us now. We can count objects in large numbers, for example, the number of students in the school, and represent them through numerals. We can also communicate large numbers using suitable number names names symbols.

Many thousands of years ago, people knew only small numbers. Gradually, they learnt how to handle larger numbers. They also learnt how to express large numbers in symbols names.

We use numbers and know many things about them. Numbers help us to say which collection of objects is bigger and arrange them in order e.g., first, second, etc. Numbers also help us countreplace concrete objects.

Which is a bigger collection of smilies?

How many smilies are there?

😀😀😀😀😀😀😀😀😀😀

Comparing Numbers

As we have done quite a lot of this earlier, let us see if we remember which is the greatest among these :

Find greatest and smallest:

1)Based on number of digits:

Greatest 59785382497218 Smallest 18382497259785

Greatest 894231473100310 Smallest 100147389423310

Greatest 752841834111450 Smallest 111183475284450

3)Final Exercise:

Find the greatest and the smallest numbers from the list:

Greatest :4892453643704452 Smallest :4370489245364452

Greatest :15800156231507315189 Smallest :15073156231518915800

Greatest :25286252452527025210 Smallest :25210252862524525270

Playing with digits

We have four digits 7, 8, 3, 5. Using these digits make different 4-digit numbers in such a way that no digit is repeated in them. Thus, 7835 is allowed, but 7735 is not.

The greatest number you can get is

We have four digits 7, 8, 3, 5. Using these digits make different 4-digit numbers in such a way that no digit is repeated in them. Thus, 7835 is allowed, but 7735 is not. The smallest number you can get is

The largest number formed was 8753.

Think about the arrangement of the digits in both. Can you say how the largest number is formed?

The digits are arranged in descendingascending order.

The smallest number formed is 3578.

How about the smallest number? Can you say how the smallest number is formed?

The numbers are arranged in ascendingdescending order.

How many possible combinations of 4 digit numbers you can make using the previous 4 numbers 7, 8, 3 and 5? We can make 24482 combinations of 4 digit numbers without repetition.

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?

(a)Sohan and Rita went to buy an almirah.There were many almirahs available with their price tags. 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 smallest largest to the largest smallest.

Descending order Descending order means arrangement from the largest smallest to the smallest largest.

Arrange the following numbers in ascending order :

Arrange the following numbers in ascending order :

Arrange the following numbers in descending order:

Arrange the following numbers in descending order: