The DAV Class 6 Maths Book Solutions Pdf and **DAV Class 6 Maths Chapter 3 Worksheet 1 **Solutions of Integers offer comprehensive answers to textbook questions.

## DAV Class 6 Maths Ch 3 WS 1 Solutions

Question 1.

Indicate the following by using integers.

(a) Earning of ₹ 500

Solution:

+ 500

(b) Loss of ₹ 90

Solution:

– 90

(c) Climbing up 10 steps

Solution:

+ 10

(d) Withdrawal of ₹ 500 from a bank

Solution:

– 500

(e) 5 m above sea level

Solution:

+ 5

(f) 3 km towards north

Solution:

+ 3

(g) 10° C below zero

Solution:

– 10

(h) An increase of 25 marks

Solution:

+ 25

Question 2.

Write the opposite of:

(a) Depositing ₹ 1000 in a bank account.

Solution:

Withdrawal of 1000 from a bank account.

(b) Decrease of 5 marks.

Solution:

Increase of 5 marks.

(c) Earning ₹ 200.

Solution:

Losing of ₹ 200.

(d) Going 2 km towards east.

Solution:

Going 2 km towards west.

(e) Two steps to the left of zero on number line.

Solution:

Two steps to the right of zero on number line.

(f) Losing weight of 7 kg.

Solution:

Gaining weight of 7 kg.

Question 3.

Encircle the negative integers from the following numbers.

– 59, 6, 0, – 1, – 4, 45, – 62, 107

Solution:

### DAV Class 6 Maths Chapter 3 Worksheet 1 Notes

All positive, zero and all negative numbers are called Integers.

Example:

………, – 5, – 4, – 3, – 2, – 1, 0, 1, 2, 3, 4, 5, ………

**Number Line:**

Absolute Value:

The absolute value of an integer is its numerical value having no (+) and (-) sign.

Example:

| 2 | = 2 and | – 2 | = 2

Addition of Integers:

- + 2 + 3 = + 5
- (+ 2) + (- 3) = – 1
- (4) + (- 5) = – 9
- (- 3) + (+ 4) = 1

Subtraction of Integers:

- (+ 2) – (+ 6) = – 4
- (+ 3) – (- 4) = – 3 + 4 = 1
- (- 5) – (+ 7)= 2
- (+ 4) – (+ 6) = – 2

Multiplication of Integers:

- (+ 5) × (+ 3) = 15
- (- 5) × (3)= – 15
- (+ 5) × (- 3) = – 15
- (- 5) × (- 3) = 15

Division of Integers:

- (+ 6) ÷ (+ 2) = 3
- (+ 6) ÷ – 2) = – 3
- (- 6) ÷ (+ 2) = – 3
- (- 6) ÷ (- 2) = 3

Power of Integers:

- (+ 3)
^{2}= (+ 3) × (- 3) = 9 - (- 3)
^{2}= (- 3) × (- 3) = 9