Find the value of the following:
(a) 297 × 17 + 297 × 3 (b) 54279 × 92 + 8 × 54279
(c) 81265 × 169 – 81265 × 69 (d) 3845 × 5 × 782 + 769 × 25 × 218

Solution:

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

(a) 297 × 17 + 297 × 3
= 297 × (17 + 3)
= 297 × 20
= 5940

(b) 54279 × 92 + 8 × 54279
= 54279 × 92 + 54279 × 8
= 54279 × (92 + 8)
= 54279 × 100
= 5427900

(c) 81265 × 169 – 81265 × 69
= 81265 × (169 – 69)
= 81265 × 100
= 8126500

(d) 3845 × 5 × 782 + 769 × 25 × 218
= 3845 × 5 × 782 + 769 × 5 × 5 × 218
= (3845 × 5) × 782 + (3845 × 5) × 218
= 3845 × 5 × (782 + 218)
= 19225 × 1000
= 19225000

NCERT Solutions for Class 6 Maths Chapter 2 Exercise 2.2 Question 3

Find the value of the following: (a) 297 × 17 + 297 × 3 (b) 54279 × 92 + 8 × 54279 (c) 81265 × 169 – 81265 × 69 (d) 3845 × 5 × 782 + 769 × 25 × 218

Summary:

The value of 297 × 17 + 297 × 3, 54279 × 92 + 8 × 54279, 81265 × 169 – 81265 × 69 and 3845 × 5 × 782 + 769 × 25 × 218 are 5940, 5427900, 8126500 and 19225000 respectively

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