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

Board CBSE
Textbook NCERT
Class  Class 6
Subject Maths
Chapter  Chapter 2 Whole Numbers

Question – 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  

(a) 297 × 17 + 297 × 3

= 297 × (17 + 3) [By distributive property i.e., (a+ b)× c = a× c + c× b]

Adding the numbers in the parentheses, we get

= 297 × 20

= 5,940

(b) 54279 × 92 + 8 × 54279

= 54279 × (92 + 8)

Adding the numbers in the parentheses, we get

= 54279 × 100

= 54,27,900

(c) 81265 × 169 – 81265 × 69

= 81265 × (169 – 69)

Subtracting the numbers in the parentheses, we get

= 81265 × 100

= 81,26,500

(d) 3845 × 5 × 782 + 769 × 25 × 218

= 3845 × 5 × 782 + (769 × 5) × 5 × 218

Multiplying the numbers in the parentheses, we get

= 3845 × 5 × 782 + 3845 × 5 × 218

= 3845 × 5 × (782 + 218)

Adding the numbers in the parentheses, we get

= 3845 × 5 × 1000

= 3845 × 5000

= 1,92,25,000

 

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