# Full Circle Manjeet Singh Mathematics Full Marks Pvt Ltd Class 7 Solution Chapter 1 Integers Exercise 1.2

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### Exercise 1.2

#### Question 1

Answer each of the following questions:

(i) Does the order in which two integers are added make a difference ?

(ii) When you are adding three integers together does it matter which two integers you add f‌irst?

(ii) Does adding zero to or subtracting zero from a integer change the value of a number?

Sol :

#### Question 2

Identify the addition properties used in each of the following questions.

(i) 7 + 13 = 13 + 7

(ii) 6 + 0 = 6

(iii) 8 + ( 1 + 9) = (8 + 1) + 19

(iv) 12 + (-12) = 0

Sol :

#### Question 3

Put the brackets in each of the following additions to satisfy addition property.

(i) 15 + 4 + 1 = (15 + 4) + 1

(ii) 18 + (7 + 5) = 18 + 7 + 5

Sol :

#### Question 4

(i) Give and example to show that commutative property does not exist for subtraction of integers.

(ii) Give an example to show that associative property does not exist for subtraction of integers.

Sol :

#### Question 5

Take a = —6 , b = 9 , c = 5 and verify that

(i) a + b = b + a

(ii) a – b ≠ b – a

(iii) a + (b + c) = (a + b) + c

(iv) a – ( b – c) ≠ (a – b) – c

(v) b + 0 = b

Sol :

#### Question 6

Verify a – (b – c) ≠ (a – b) – c for a = 9 , b = 6 , c = 4

Sol :

#### Question 7

Match the two columns

Column 1Column 2
(i) 17 + (-11) = (-11) + 17(a) Integers are closed under subtraction
(ii) 8 + 0 = 8(b) Subtraction is not associative for integers
(iii) 15 – 9 = 6 (an integer)(c) Commutative property of addition
(iv) (6 – 7) – 5 ≠ 6 – (7 – 5)(d) Addition is associative for integers
(v) (-6) + [(-7)+(-3)] = [(-6)+(-7)]+(-3)(e) 0 is the additive identity for integers

Sol :

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