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