CBSE Class 6 Mathematics Knowing Our Numbers Worksheet Set 02

Class 6 Mathematics Practice Set: Chapter 01 Knowing Our Numbers

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CHAPTER 1
NOTES:
NUMBER SYSTEM
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1. Natural Numbers - All the counting numbers are called Natural Numbers. The set of these numbers are represented by N. Thus, N = { 1,2,3,......} is the set of Natural Numbers.
 
2. Whole Numbers - All counting numbers together with 0 form the set of Whole Numbers. The set of these numbers is represented by W. Thus, W= {0,1,2,3,....} is the set of Whole Numbers.
 
3. Integers - All the natural numbers, 0 and the negatives of all counting numbers form the set of Integers. The set of these numbers are denoted by Z OR I. Thus, Z = { ......, -3 ,-2,-1 ,0 ,1, 2 ,3........} is the set of Integers.
 
4. Fraction - A number a / b, where a ,b are integers , b is not equal to 0 is called a fraction.
 
5. Rational Numbers - A number of the form p/ q where q is not equal to 0, and p and q are Integers is called a Rational Number. All Integers as well as fractions can be expressed in this form. So all Integers and Fractions are Rational Numbers. The set of rational numbers is denoted by Q. eg. 4/5 , -8/9 , 5 , -5 , 3.
 
6. Prime Number - A number that has only 2 factors : 1 and itself eg : 2 ,3 ,5 ,7 ,11 , 13 , 17 ,19 ,23 , 29 ,31 ,37 ,41 , 43 , 47 , 53 ,59 ,61 , 67 , 71 ,73 ,79 ,83 ,89 ,97.
 
7. Composite Number- A number that has more than two factors. Eg 4, 6 ,8 ,9 ,12 ,14 ,15 , 16 etc.

8. Twin Prime - Two prime numbers are Twin prime if there is only one composite number between them or if they differ by 2. Eg 3,5 ; 5,7 ; 11,13 ; 17,19; 29,31.

9. Prime Triplet - A set of consecutive three prime numbers that differ by 2. Eg 3 ,5 ,7.

 
10. Coprime Numbers - Two numbers are coprime if they do not have a common factor other than 1. Eg 2,3 ; 4,5 ; 28,31 ; 6,11.
 
11. Perfect Number - If the sum of the factors of a number is twice the number. Eg 6,28.
 
Factors of 6 are 1,2,3,6.
 
Sum of factors are 1 + 2 + 3 + 6 = 12.
 
12 is twice 6.
 
Factors of 28 are 1, 2, 4, 7, 14, 28.
 
sum of 1+2+4+7+14+28 = 56.
 
56 is twice 28.
 
12.INDIAN and INTERNATIONAL SYSTEM OF NUMERATION.
 
INDIAN ---Ten =10
   Hundred = 100
   Thousand = 1000
   Ten Thousand = 10,000
   Lakh = 1,00,000
   Ten Lakh = 10,00,000
   One Crore = 1,00,00,000
   Ten Crore = 10,00,00,000
   Hundred Crore = 100,00,00,000
   INTERNATIONAL---Ten =10
   Hundred =100
   Thousand = 1000
   Ten Thousand = 10,000
   Hundred Thousand = 100,000
   One Million = 1,000,000
   Ten Million = 10,000,000
   Hundred Million =100,000,000
   One Billion = 1,000,000,000
 
ASSIGNMENT 1
 
Q1. Write the following numbers in Indian System of Numeration.
 
i ) 42,007         ii ) 4,05,045      iii ) 35,42,012      iv ) 7,06,04,014
 
Q2. Rewrite each of the following numerals with proper commas in the international system.Also write the number name of each in the international system of numeration.
 
i ) 513625       ii ) 4035672         iii ) 65954923     iv ) 70902005
 
Q3. Write each of the following in expanded notation.
 
i ) 3057         ii ) 12345            iii ) 10205           iv ) 235060
 
Q4. Determine the product of the place values of two fives in 450758.

 

 

 

 

CBSE Class 6 Mathematics Knowing Our Numbers Worksheet Set B

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Exam Preparation Worksheet for Class 6 Mathematics Chapter 01 Knowing Our Numbers

Chapter 01 Knowing Our Numbers Printable Worksheet for Class 6 Mathematics

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