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