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Exercise 1.1

**Question 1 **

**Fill in the blanks:**

(i) 0 is ___ negative nor ___

(ii) The numbers -1 , -2 , -3 , -4 , -5 __ are called integers ___ integers .

(iii) The numbers 1, 2, 3 4, 5 , __ are called __ integers .

(iv) All negative integers are ___ than 0 and 0 is less than all ___ integers .

(v) The ascending order of integers -7 , -1 , -3 , 0 , -2 , 8 , 3 , 12 is ___

(vi) The descending order of integers 2 , -5 , -1 , 6 , 15 , -9 , 8 is ___

**Question 2**

**State true or false for each of the following statements.**

(i) Every positive integer have a corresponding negative integer i.e., +5 and -5 are labelled as opposites.

(ii) When one positive and one negative integers are added, we take their difference and place the sign of the bigger integer.

(iii) Additive inverse of any integer a is —a and additive inverse of (—a) is a.

(iv) (—100) — (—135) = —10b+ 135 = 35

(v) 20°C below normal temperature when written in the form of integer is —20°C

(vi) Larger number in the pair —65, 195 is —65

**Question 3**

(i) Write all integers between—5 and 5

(ii) Using the number line with integer, find what is 5 less than —2.

(iii) Fill in the blanks by using appropriate symbol < or >

(a) -12 __ 5

(b) 8 __ 3

(iv) Write opposite of the statement : Going 20 m towards East .

(v) Write opposite of the statement: 10 km above the sea level.

**Question 4**

**Gopi deposits ? 4500 in his bank account in April 2016. He withdraws Rs 1350 from it in May 2016. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Gopi’s account after the withdrawal?**

Sol :

**Question 5**

**A plane is flying at the height of 4850 m above sea level. At a particular point, it is exactly above a submarine floating 1435 m below the sea level. What is the vertical distance between them.**

Sol :

**Question 6**

**Here is a part of a number line.**

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**Put an X on the number line on the place, that is half way between 360 and 370. What is the number that should be there ?**

Sol :