Numbers

Sense Of Large Numbers

Seven-digit number: This is any number with 7 digits.

An example is 89,72,543.

In words, it is read as Eighty-nine lakh seventy-two thousand five hundred forty-three.

Eight-digit number: This is any number with 8 digits.

An example is 7,54,89,216.

In words, it is read as Seven crore fifty-four lakh eighty-nine thousand two hundred sixteen.

Nine-digit number: This is any number with 9 digits.

An example is 69,32,17,854.

In words, it is read as Sixty-nine crore thirty-two lakh seventeen thousand eight hundred fifty-four.
 

Indian place value chart

Indian place value chart for 9-digit numbers is divided into four periods i.e., ones, thousands, lakhs and crores which are further divided into nine

places. The ones period has three places while the other periods have two places each.

Numbers

Writing Numbers Using Commas

While writing a number, different periods are separated by putting a comma between two consecutive periods. Example : Write 40932045 and 375318277 in Indian place value chart and on abacus. Also, mark the periods by putting commas. Solution : Numbers in Indian place value chart:

Using commas, 40932045 can be written as 4,09,32,045 and 375318277 can be written as 37,53,18,277

Reading numbers

While reading a number, all the digits in the same period are read together and the names of the periods {except the ones) are read along with them.

Example : Read and write the following numbers in words: (a) 34,37,82,345 (b) 8,43,62,954 

Solution : On arranging the given number in Indian place value chart, we have Therefore, the (a) & (b) number is ‘Thirty-four crore thirty seven lakhs eighty-two thousand three hundred forty five’ (b): Eight crore forty-three lakhs sixty-two thousand nine hundred fifty-four .

Numbers

International place value

 International place value chart

International place value chart for 9-digit numbers is divided into four periods i.e., ones, thousands and millions which are further divided into nine places. The ones period has three places while the other periods have two places each.

Writing numbers

While writing a number, different periods are separated by putting a comma between two consecutive periods. Example : Write 40932045 and 375318277 in International place value chart and on abacus. Also, mark the periods by putting commas. Solution : Numbers in International place value chart:

Using commas, 40932045 can be written as 40,932,045 and 375318277 can be written as 375,318,277

Reading numbers

While reading a number, all the digits in the same period are read together and the names of the periods (except the ones) are read along with them.

Example : Read and write the following numbers in words: (a) 343,782,345

Solution : On arranging the given number in International place value chart, we have Therefore, the number is ‘Three hundred forty-three million seven hundred eighty-two thousand three hundred forty-five’.

Numbers

Face Value & Place Value

 The face value of a digit is the value of the digit itself at whatever place it may be.

For example: In number 32876521, the face value of 1 is 1, 2 is 2, 5 is 5 and 6 is 6.

Place Value

The place value of each digit in a number depends upon its place in the number.

 For example: In number 37852033 the place value of 2 is two thousand.

Expanded form & Short form

Expanded form

Expanded form of a number is writing in it in the form of place value

For example: Write 45251204 in expanded form

Solution: 45251204 = 40000000 + 5000000 + 200000 + 50000 + 1000 + 200 + 4

Short form

Expanded form of a number is writing in it in the form of face value

For example: 70000000 + 3000000 + 60000 + 9000 + 400 + 50 + 6

Solution: 73069456

Successor & Predecessor

Successor

The number which comes just after a given number is called its successor. It is obtained by adding 1 to the given number.

 For example: 78057541 is the successor of 78057540.

Predecessor

The number which comes just before a given number is called its predecessor. It is obtained by subtracting 1 from the given number.

 For example: 13057539 is the predecessor of 13057540.

Numbers

Numbers on Abacus

Representing numbers on abacus:

Numbers

Comparing and Ordering Numbers

Comparison of numbers refers to the process of determining which of two or more numbers is greater or smaller than the others. Ordering numbers means arranging a group of numbers from smallest to largest or largest to smallest.

Rule 1 : A number with more digits is bigger than a number with less digits.

Rule 2 : If the numbers have the same number of digits, we start comparing the digits from the left side. If the leftmost digits are the same, we move to the next digits and continue comparing until we find a difference.

Ordering numbers

Ordering numbers Comparison of numbers refers to the process of determining which of two or more numbers is greater or smaller than the others. Ordering numbers means arranging a group of numbers from smallest to largest or largest to smallest.

For example: Write 993463, 1657523, 9825345, 2373451, 445313 in ascending and descending order. Ascending order: 445313,1657523, 2373451, 9825345, 9932463

Descending order: 9932463, 9825345, 2373451,1657523, 445313

 For example: Write 743454, 98563, 56456, 2363532, 63463 in ascending and descending order. Ascending order: 56456, 63463, 98563, 743454, 2363532

Descending order: 2363532, 743454, 98563, 63463, 56456