Write a number sentence to show the distributive property. 7x6=

According to the distributive property of multiplication,

a . (b + c ) = (a . b) + (a . c)

Given: 7 × 6

which can be rewritten as: a)  7 . (4 + 2), b)   7 . (3 + 3), c)   7 . (1 + 5)

Rewriting the given expression using the distributive property of multiplication:

a)   7 . (4 + 2) = (7 . 4) + (7 . 2)

7 . (6) = 28 + 14

42 = 42

b)   7 . (3 + 3) = (7 . 3) + (7 . 3)

7 . (6) = 21 + 21

42 = 42

c)   7 . (1 + 5) = (7 . 1) + (7 . 5)

7 . (6) = 7 + 35

42 = 42

As the left hand side is equal to the right hand side in each case, therefore, it proves the distributive property.

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