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.
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 .
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’.
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 on Abacus
Representing numbers on abacus:
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