NCERT Solutions for Class 7 Maths Exercise 1.2 Chapter 1 Integers in simple PDF are provided here. This exercise of NCERT Solutions for Class 7 Chapter 1 deals with the properties of addition and subtraction of integers, such as closure under addition and subtraction, commutative property and associative property. Our main aim is to assist students in their studies by providing solutions of NCERT Solutions for Class 7 Maths Chapter 1 Integers.
NCERT Solutions for Class 7 Maths Chapter 1 Integers – Exercise 1.2
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Access answers to Maths NCERT Solutions for Class 7 Chapter 1 – Integers Exercise 1.2
1. Write down a pair of integers whose:
(a) sum is -7
Solution:-
= -4 + (-3)
= -4 – 3 … [∵ (+ × – = -)]
= -7
(b) difference is -10
Solution:-
= -25 – (-15)
= – 25 + 15 … [∵ (- × – = +)]
= -10
(c) sum is 0
Solution:-
= 4 + (-4)
= 4 – 4
= 0
2. (a) Write a pair of negative integers whose difference gives 8.
Solution:-
= (-5) – (-13)
= -5 + 13 … [∵ (- × – = +)]
= 8
(b) Write a negative integer and a positive integer whose sum is -5.
Solution:-
= -25 + 20
= -5
(c) Write a negative integer and a positive integer whose difference is -3.
Solution:-
= -2 – (1)
= -2 – 1
= -3
3. In a quiz, team A scored -40, 10, 0, and team B scored 10, 0, -40 in three successive rounds. Which team scored more? Can we say that we can add integers in any order?
Solution:-
From the question, it is given that
The score of team A = -40, 10, 0
Total score obtained by team A = -40 + 10 + 0
= -30
The score of team B = 10, 0, -40
Total score obtained by team B = 10 + 0 + (-40)
= 10 + 0 – 40
= -30
Thus, the score of both team A and team B is the same.
Yes, we can say that we can add integers in any order.
4. Fill in the blanks to make the following statements true:
(i) (-5) + (-8) = (-8) + (…………)
Solution:-
Let us assume the missing integer be x,
Then,
= (-5) + (-8) = (-8) + (x)
= -5 – 8 = – 8 + x
= -13 = -8 + x
By sending -8 from RHS to LHS, it becomes 8,
= -13 + 8 = x
= x = -5
Now, substitute the x value in the blank place,
(-5) + (-8) = (-8) + (-5) … [This equation is in the form of the Commutative law of Addition].
(ii) -53 + ………… = -53
Solution:-
Let us assume the missing integer be x,
Then,
= -53 + x = -53
By sending -53 from LHS to RHS, it becomes 53,
= x = -53 + 53
= x = 0
Now, substitute the x value in the blank place,
= -53 + 0 = -53 … [This equation is in the form of the closure property of addition]
(iii) 17 + ………… = 0
Solution:-
Let us assume the missing integer be x,
Then,
= 17 + x = 0
By sending 17 from LHS to RHS, it becomes -17,
= x = 0 – 17
= x = -17
Now, substitute the x value in the blank place,
= 17 + (-17) = 0 … [This equation is in the form of closure property of addition]
= 17 – 17 = 0
(iv) [13 + (– 12)] + (…………) = 13 + [(–12) + (–7)]
Solution:-
Let us assume the missing integer be x,
Then,
= [13 + (–12)] + (x) = 13 + [(–12) + (–7)]
= [13 – 12] + (x) = 13 + [–12 –7]
= [1] + (x) = 13 + [-19]
= 1 + (x) = 13 – 19
= 1 + (x) = -6
By sending 1 from LHS to RHS, it becomes -1
= x = -6 – 1
= x = -7
Now, substitute the x value in the blank place,
= [13 + (-12)] + (-7) = 13 + [(–12) + (-7)] … [This equation is in the form of associative property of addition].
(v) (–4) + [15 + (–3)] = [–4 + 15] +…………
Solution:-
Let us assume the missing integer be x,
Then,
= (-4) + [15 + (-3)] = [-4 + 15] + x
= (-4) + [15 – 3)] = [-4 + 15] + x
= (-4) + [12] = [11] + x
= 8 = 11 + x
By sending 11 from RHS to LHS, it becomes -11
= 8 – 11 = x
= x = -3
Now, substitute the x value in the blank place,
= (-4) + [15 + (-3)] = [-4 + 15] + -3 … [This equation is in the form of Associative property of Addition].
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