Punjab State Board PSEB 6th Class Maths Book Solutions Chapter 1 Knowing Our Numbers Ex 1.4 Textbook Exercise Questions and Answers.

## PSEB Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers Ex 1.4

1. Simplify each of following:

Question (a)

13 × 104

Solution:

13 × 104 = (10 + 3) (104)

= 10 × 104 + 3 × 104

= 10 × (100 + 4) + 3 × (100 + 4)

= 10 × 100 + 10 × 4 + 3 × 100 + 3 × 4

= 1000 + 40 + 300 + 12

= 1352

Question (b)

102 × 105

Solution:

102 × 105 = (100 + 2) × 105 = 100 × 105 + 2 × 105

= 100 × (100 + 5) + 2 × (100 + 5)

= 100 × 100 + 100 × 5 + 2 × 100 + 2 × 5

= 10000 + 500 + 200 + 10

= 10710

Question (c)

6 × 107

Solution:

6 × 107 = 6 × (100 + 7)

= 6 × 100 + 6 × 7

= 600 + 42

= 642

Question (d)

16 × 106

Solution:

16 × 106 = (10 + 6) × 106 = 10 × 106 + 6 × 106

= 10 × (100 + 6) + 6 × (100 + 6)

= 10 × 100 + 10 × 6 + 6 × 100 + 6 × 6

= 1000 + 60 + 600 + 36 = 1696

Question (e)

201 × 205

Solution:

201 × 205 = (200 + 1) × 205 = 200 × 205 + 1 × 205

= 200 × (200 + 5) + 1 × (200 + 5)

= 200 × 200 + 200 × 5 + 1 × 200 + 1 × 5

= 40000 + 1000 + 200 + 5 = 41205

Question (f)

22 × 102

Solution:

22 × 102 = (20 + 2) × 102 = 20 × 102 + 2 × 102

= 20 × (100 +-2) + 2 × (100 + 2)

= 20 × 100 + 20 × 2 + 2 × 100 + 2 x 2

= 2000 + 40 + 200 + 4 = 2244

Question (g)

6 × (4 + 3)

Solution:

6 × (4 + 3) = 6 × 4 + 6 × 3

= 24 + 18 = 42

Question (h)

(17 – 9) × 3

Answer:

(17 – 9) × 3

= 17 × 3 – 9 × 3

= 51 – 27 = 24

Question (i)

(20 + 4) ÷ 2

Solution:

= 20 ÷ 2 + 4 ÷ 2

= 10 + 2 = 12