The number sentence 4x7 = (4x3) + (4x4) is an example of distributive property of multiplication.
According to the distributive property of multiplication, the product of a number and sum of two numbers is equal to the sum of product of the first number and other two numbers separately.
It can be expressed as,
a × (b + c) = (a × b) + (a × c)
Here, the given number sentence is 4x7 = (4x3) + (4x4).
It can be written as,
4 x (3 + 4) = (4 x 3) + (4 x 4)
Taking L.H.S of the equation,
4 x (3 + 4) = 4 × 7 = 28
Taking L.H.S of the equation,
(4 x 3) + (4 x 4) = 12 + 16 = 28
Therefore, the given number sentence represents the distributive property of multiplication.
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