Playing with Numbers Class-6th RS Aggarwal ICSE Mathematics Solutions Goyal Brothers Prakashan Chapter-6. We provide step by step Solutions of Exercise / lesson-6 Playing with Numbers for ICSE Class-6 RS Aggarwal Mathematics .
Our Solutions contain all type Questions with Exe-6 A , Exe-6 B, Exe-6 C, Exe-6 D to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-6 Mathematics.
Board | ICSE |
Publications | Goyal brothers Prakshan |
Subject | Maths |
Class | 6th |
Chapter-6 | Playing with Numbers |
Writer | RS Aggrawal |
Book Name | Foundation |
Topics | Solution of Exe-6 A , Exe-6 B, Exe-6 C, Exe-6 D |
Academic Session | 2021-2022 |
Playing with Numbers Class-6th RS Aggarwal ICSE Mathematics Solutions Goyal Brothers Prakashan Chapter-6
–: Select Topics :–
Types of Numbers
- Prime numbers
- Even numbers
- Odd numbers
- Whole numbers
- Natural numbers
- Composite numbers
Factors :- A factor of a number is an exact divisor of that number
Properties of factors
1 is a factor of every number.
Every number is a factor of itself.
and Every factor of a number is an exact divisor of that number.
Every factor is less than or equal to the given number.
Number of factors of a given number are finite
perfect number.
A number for which sum of all its factors is equal to twice the number is called a perfect number.
Multiples
Multiples of a number are those numbers which we get on multiplying the number by any integer.
Properties of multiples
- Every multiple of a number is greater than or equal to that number.
- Number of multiples of a given number is infinite.
- Every number is a multiple of itself.
Prime numbers
Numbers other than 1 whose only factors are 1 and the number itself are called Prime numbers.
Composite numbers
Numbers having more than two factors are called Composite numbers.
Divisibility Tests
A divisibility rule is a method of determining whether a given integer is divisible by a fixed divisor without performing division, usually by examining its digits.
Divisibility tests for 2
If one’s digit of a number is 0,2,4,6 or 8, then the number is divisible by 2.
Divisibility tests for 4
A number with 3 or more digits is divisible by 4 if the number formed by its last two digits (i.e. ones and tens) is divisible by 4.
Divisibility tests for 3
A number is divisible by 3, if sum of its digits is divisible by 3.
Divisibility tests for 5
If the one’s digit of a number is either 5 or 0, then it is divisible by 5.
Divisibility tests for 8
A number with 4 or more digits is divisible by 8, if the number formed by its last three digits is divisible by 8.
Divisibility tests for 6
If a number is divisible by 2 and 3 both, then it is divisible by 6 also.
Divisibility tests for 7
Double the last digit and subtract it from the remaining leading cut number. If result is divisible by 7, then the original number is divisible by 7.
Divisibility tests for 9
A number is divisible by 9 if sum of its digits is divisible by 9.
Divisibility tests for 11
Find difference between sum of digits at odd places (from the right) and sum of digits at even places (from the right) of a number. If the difference is either 0 or divisible by 11, then the number is divisible by 11.
Divisibility tests for 10
If one’s digit of a number is 0, then the number is divisible by 10.
Exercise – 6 A, Playing with Numbers Class-6th RS Aggarwal ICSE Mathematics Solutions Goyal Brothers Prakashan
Page 107
Question 1
Simplify :
24-(20/5)*2
RS Aggarwal Solutions Exercise – 6 B, Playing with Numbers Class-6th ICSE Mathematics Goyal Brothers Prakashan
Page 113-114
Question 1.
show that
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……………………
Question 16
RS Aggarwal Solutions ,Playing with Numbers Exercise – 6 C Class-6th ICSE Mathematics Goyal Brothers Prakashan
Page 118
Question 1
Find the HCF …………prime factorisations method.
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Question 2
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Question 9
Exercise – 6 D, RS Aggarwal Solutions ,Playing with Numbers Class-6th ICSE Mathematics Goyal Brothers Prakashan
Page 121-122
Question 1
Find the L.C.M …………prime factorisations method.
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Question 2
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Question 11
–: End of Playing with Numbers Class-6th RS Aggarwal ICSE Class-6th Solutions :–
Return to- RS Aggarwal Solutions for ICSE Class-6 Goyal Brothers Prakashan
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