Integers RS Aggrawal ICSE Class-7th Maths Goyal Brothers
Goyal Brother Prakashan
Integers RS Aggrawal ICSE Class-7th Mathematics Solutions Goyal Brothers Prakashan Chapter-1. We provide step by step Solutions of Exercise / lesson-1 Integers for ICSE Class-7 RS Aggarwal Mathematics . Our Solutions contain all type Questions with Exe-1 A, Exe-1 B Exe-1 C Exe-1 D, Exe-1 E, Exe-1 F (MCQ), Mental Maths to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-7 Mathematics.
| Board | ICSE |
| Publications | Goyal brothers Prakshan |
| Subject | Maths |
| Class | 7th |
| Chapter-1 | Integers |
| Writer | RS Aggrawal |
| Book Name | Foundation |
| Topics | Solution of Exe-1 A, Exe-1 B Exe-1 C Exe-1 D, Exe-1 E, Exe-1 F (MCQ), Mental Maths |
| Academic Session | 2021-2022 |
Integers RS Aggrawal ICSE Class-7th Mathematics Solutions Goyal Brothers Prakashan Chapter-1
–: Select Topics :–
Introduction to Integers
Natural Numbers : The collection of all the counting numbers is called set of natural numbers. It is denoted by N = {1,2,3,4….}
Whole Numbers: The collection of natural numbers along with zero is called a set of whole numbers. It is denoted by W = { 0, 1, 2, 3, 4, 5, … }
Properties of Addition and Subtraction of Integers
Closure under Addition and subtraction
For every integer a and b, a+b and a–b are integers.
Commutativity Property for addition
for every integer a and b, a+b=b+a
Associativity Property for addition
for every integer a,b and c, (a+b)+c=a+(b+c)
Additive Identity
For every integer a, a+0=0+a=a here 0 is Additive Identity, since adding 0 to a number leaves it unchanged.
Example : For an integer 2, 2+0 = 0+2 = 2.
Additive inverse
For every integer a, a+(−a)=0 Here, −a is additive inverse of a and a is the additive inverse of-a.
Example : For an integer 2, (– 2) is additive inverse and for (– 2), additive inverse is 2. [Since + 2 – 2 = 0]
Properties of Multiplication of Integers
Closure under Multiplication
For every integer a and b, a×b=Integer
Commutative Property of Multiplication
For every integer a and b, a×b=b×a
Multiplication by Zero
For every integer a, a×0=0×a=0
Multiplicative Identity
For every integer a, a×1=1×a=a. Here 1 is the multiplicative identity for integers.
Associative property of Multiplication
For every integer a, b and c, (a×b)×c=a×(b×c)
Distributive Property of Integers
Under addition and multiplication, integers show the distributive property.
i.e., For every integer a, b and c, a×(b+c)=a×b+a×c
Division of Integers
When a positive integer is divided by a positive integer, the quotient obtained is a positive integer.
Example: +6+3=+2
When a negative integer is divided by a negative integer, the quotient obtained is a positive integer.
Example: −6−3=+2
When a positive integer is divided by a negative integer or negative integer is divided by a positive integer, the quotient obtained is a negative integer.
Example: −6+3=−2 and Example: +6−3=−2
Addition and Subtraction of Integers
The absolute value of +7 (a positive integer) is 7
The absolute value of -7 (negative integer) is 7 (its corresponding positive integer)
Addition of two positive integers gives a positive integer.
Example : +3+4=+7
Addition of two negative integers gives a negative integer.
Example : (−3)+(−4)=−3−4=−7
When one positive and one negative integers are added, we take their difference and place the sign of the bigger integer.
Example : (−7)+(2)=−5
For subtraction, we add the additive inverse of the integer that is being subtracted, to the other integer.
Example : 56–(–73)=56+73=129
Multiplication of Integers
Product of two positive integers is a positive integer.
Example : (+2)×(+3)=+6
Product of two negative integers is a positive integer.
Example :(−2)×(−3)=+6
Product of a positive and a negative integer is a negative integer.
Example :(+2)×(−3)=−6 and (−2)×(+3)=−6
Product of even number of negative integers is positive and product of odd number of negative integers is negative.
Exercise – 1 A Integers RS Aggrawal ICSE Class-7th Mathematics Solutions Goyal Brothers Prakashan
Page 10-11
Question 1
write all integers between :
(i)………….
………………
Questions 2
compare the integer :
(i)………….
………………
Question 3
…………………..
…………………..
…………………..
Question 6
fill in the blanks………….
(i)………….
………………
Integers Exe-1 B of RS Aggrawal for ICSE Class-7th Mathematics Solutions Goyal Brothers Prakashan
Page 13-14
Question 1
Add the following integers
(i)………….
………………
Question 2
find the additive inverse of:
(i)………….
………………
Question 3
……………………….
………………………..
………………………
Question 10
find predecessor of :
(i)………….
………………
RS Aggrawal ICSE Class-7th Mathematics Solutions Goyal Brothers Prakashan Integers Exercise – 1 C
Page 18
Question 1
find product :
(i) 18 x 4
………………
Question 2
find product
(i)………….
………………
Question 3
verify following :
(i)………….
………………
Question 4
…………………….
…………………….
……………………
Question 9
the product of two integers is -120 . If one number is 15, find the others.
Exercise – 1 D, Integers RS Aggrawal ICSE Class-7th Mathematics Solutions Goyal Brothers Prakashan
Page 19
simplify :
Question 1
5{(-6) + (12/4)}
Question 2
10 – {56/(-16 + 9)}
Question 3
……………………
……………………
…………………..
Question 7
10 – [8 – {11 + 30/(4 – 5¯-7¯)}]
RS Aggrawal ICSE Class-7th Mathematics Solutions Goyal Brothers Prakashan Integers Exercise – 1 E
Page 29
Question 1
By how much does 5 exceed -5 ?
Question 2
How much -7 less than -1?
Question 3
…………………….
………………………..
………………………..
Question 12
A class of 36 student contributed …………………. what amount was spent on the picnic ?
Exercise – 1 F (MCQ)
Page 20
Multiple Choice Question
Question 1
The absolute value of 5 is
…………………
Question 2
……………………..
…………………….
Question 5
The value of (-7) x 6 + (-7) x 14 is
…………………
Mental Maths
Page 21
Question 1
Fill in the blanks :
Answer
(i) Negative.
(ii) Zero
(iii) Distributive
(iv) Negative
(v) Opposite
Question 2
Write true and false :
(i) False
(ii) False
(iii) False
(iv) True
(v) False
(vi) True
–: End of Integers RS Aggrawal ICSE Class-7th Solutions :–
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