# Class 7 Maths Chapter 1 Exercise 1.1 Pdf Notes NCERT Solutions

Class 7 Maths Chapter 1 Integers Exercise 1.1 pdf notes:-

**Exercise 1.1** Class 7 maths Chapter 1 Pdf Notes:-

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## Ncert Solution for Class 6 Maths Chapter 1 Integers Exercise 1.1 Tips:-

**INTRODUCTION**

We have learnt about whole numbers and integers in Class VI.

We know that integers form a bigger collection of numbers

which contains whole numbers and negative numbers. What

other differences do you find between whole numbers and

integers? In this chapter, we will study more about integers,

their properties and operations. First of all, we will review and

revise what we have done about integers in our previous class.

1.2 RECALL

We know how to represent integers on a number line. Some integers are marked on the

number line given below.

Can you write these marked integers in ascending order? The ascending order of

these numbers is – 5, – 1, 3. Why did we choose – 5 as the smallest number?

Some points are marked with integers on the following number line. Write these integers

in descending order.

The descending order of these integers is 14, 8, 3, …

The above number line has only a few integers filled. Write appropriate numbers at

each dot.

**TRY THESE**

- A number line representing integers is given below

–3 and –2 are marked by E and F respectively. Which integers are marked by B,

D, H, J, M and O? - Arrange 7, –5, 4, 0 and – 4 in ascending order and then mark them on a number

line to check your answer.

We have done addition and subtraction of integers in our previous class. Read the

following statements.

On a number line when we

(i) add a positive integer, we move to the right.

(ii) add a negative integer, we move to the left.

(iii) subtract a positive integer, we move to the left.

(iv) subtract a negative integer, we move to the right.

State whether the following statements are correct or incorrect. Correct those which

are wrong:

(i) When two positive integers are added we get a positive integer.

(ii) When two negative integers are added we get a positive integer.

(iii) When a positive integer and a negative integer are added, we always get a negative

integer.

(iv) Additive inverse of an integer 8 is (– 8) and additive inverse of (– 8) is 8.

(v) For subtraction, we add the additive inverse of the integer that is being subtracted,

to the other integer.

(vi) (–10) + 3 = 10 – 3

(vii) 8 + (–7) – (– 4) = 8 + 7 – 4

Compare your answers with the answers given below:

(i) Correct. For example:

(a) 56 + 73 = 129 (b) 113 + 82 = 195 etc.

Construct five more examples in support of this statement.

(ii) Incorrect, since (– 6) + (– 7) = – 13, which is not a positive integer. The correct

statement is: When two negative integers are added we get a negative integer.

For example,

(a) (– 56) + (– 73) = – 129 (b) (– 113) + (– 82) = – 195, etc.

Construct five more examples on your own to verify this statement.

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TRY THESE

(iii) Incorrect, since – 9 + 16 = 7, which is not a negative integer. The correct statement is :

When one positive and one negative integers are added, we take their difference

and place the sign of the bigger integer. The bigger integer is decided by ignoring the

signs of both the integers. For example:

(a) (– 56) + (73) = 17 (b) (– 113) + 82 = – 31

(c) 16 + (– 23) = – 7 (d) 125 + (– 101) = 24

Construct five more examples for verifying this statement.

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