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### Exercise 1.4

#### Question 1

**State True or False for each of the following statements:**

**(i) For any two positive integers a and b, a + (—b) = (—a) ÷ b, where b ≠ 0**

**(ii) For any two positive integers a and b, (-a) + (-b) = a ÷ b, where b ≠ 0**

**(iii) Any integer divided by 1 gives the same integer i.e. for any integer a , a÷1 = a**

**(iv) 0 ÷ (-11)= 0 or 0÷27 = 0**

**(v) (a ÷ b)÷ c = a ÷ (b ÷ c)**

#### Question 2

**Fill in the blanks**

**(i) 268 ÷ __ = 268**

**(ii) (-82) ÷ __ = -1**

**(iii) __÷(65) = 1**

**(iv) __ ÷ 1 = -118**

**(v) 60 ÷ __ = -6**

**(vi) __ ÷ (7) = -3**

#### Question 3

**Given : **

**(i) a = 18 , b= -3 , c = 2**

**(ii) a = (-20) , b = -1 , c = -1 **

#### Question 4

**Evaluate:**

**(i) 0 ÷ 75**

**(ii) (-125) ÷ (-5)**

**(iii) [(-8)+7]÷[(-5)+4]**

#### Question 5

**Find the value of x :**

**(i) x÷(-14) = -7**

**(ii) x÷(18) = -3**

#### Question 6

**(i) Show that (-100)÷(5) is same as 100÷(5)**

**(ii) Show that (-18)÷[6÷(-1)]≠[(-18)÷(6)÷(-1)]**

**(iii) Show that {(-72)÷(-9)}÷{(-20)÷(-5)}=2**

#### Question 7

**The product of two integers is 189. If one integer is -9 , find the other .**

Sol :

#### Question 8

**The temperature at 6 pm of a town was 37°C . At mid-night the temperature every hour is same , find the rise in temperature per hour .**

Sol :