Question

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

Answer 1

7×6
3+3= 7 (3+3)
7×3+7×3
21 +21=42

Answer 2

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.