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Find the product using suitable properties.
(a) 738 × 103 (b) 854 × 102 (c) 258 × 1008 (d) 1005 × 168

Solution:

We will be using the distributive property of multiplication to find the product of the expressions given below.

(a) 738 × 103
= 738 × (100 + 3)
= 738 × 100 + 738 × 3 (using distributive property)
= 73800 + 2214
= 76014

(b) 854 × 102
= 854 × (100 + 2)
= 854 × 100 + 854 × 2 (using distributive property)
= 85400 + 1708
= 87108

(c) 258 × 1008
= 258 × (1000 + 8)
= 258 × 1000 + 258 × 8 (using distributive property)
= 258000 + 2064
= 260064

(d) 1005 × 168
= (1000 + 5) × 168
= 1000 × 168 + 5 × 168 (using distributive property)
= 168000 + 840
= 168840

NCERT Solutions for Class 6 Maths Chapter 2 Exercise 2.2 Question 4

Find the product using suitable properties. (a) 738 × 103 (b) 854 × 102 (c) 258 × 1008 (d) 1005 × 168

Summary:

The product of 738 × 103, 854 × 102, 258 × 1008, and 1005 × 168 are 76014, 87108, 260064, and 168840 respectively.

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